Name: Film on Dr Homi Bhabha by TIFR marking his birth centenary in 2009 @ICTStalks
Uploaded: 2024-10-22T08:17:00-05:00
Duration: 8 min 17 s
Description: Film on Dr Homi Bhabha by TIFR marking his birth centenary in 2009

Film on Dr Homi Bhabha by TIFR marking his birth centenary in 2009

International Centre for Theoretical Sciences 2024-10-22 | Film on Dr Homi Bhabha by TIFR marking his birth centenary in 2009

Pulsar Timing Arrays See Red: The Era of Low-Frequency Gravitational Wave... by Maura McLaughlin

International Centre for Theoretical Sciences 2023-01-30 | COLLOQUIUM : PULSAR TIMING ARRAYS SEE RED: THE ERA OF LOW-FREQUENCY GRAVITATIONAL WAVE DETECTION

SPEAKER : Maura McLaughlin (West Virginia University, USA )
DATE : Mon, 30 January 2023,
VENUE : Online and Madhava Lecture Hall

ABSTRACT
Millisecond pulsars are rapidly rotating neutron stars with phenomenal rotational stability. Pulsar timing arrays world-wide monitor over 100 of these cosmic clocks in order to detect perturbations due to gravitational waves at nanohertz frequencies. These gravitational waves will most likely result from an ensemble of supermassive black hole binaries. Their detection and subsequent study will offer unique insights into galaxy growth and evolution over cosmic time. I will present the most recent results from the North American NANOGrav and International Pulsar Timing Array collaboration datasets, including a common “red” spectral signature in the data that could be the first hints of gravitational waves. I will then describe the gains in sensitivity that are expected from additional data, discoveries of millisecond pulsars, more sensitive instrumentation, and international collaboration.

Roughness of Geodesics in Liouville Quantum Gravity by Subhajit Goswami

International Centre for Theoretical Sciences 2023-01-30 | PROGRAM:

TOPICS IN HIGH DIMENSIONAL PROBABILITY

ORGANIZERS: Anirban Basak (ICTS-TIFR, India) and Riddhipratim Basu (ICTS-TIFR, India)

DATE & TIME: 02 January 2023 to 13 January 2023

VENUE: Ramanujan Lecture Hall

This program will focus on several interconnected themes in modern probability theory which can broadly be brought under the umbrella of high dimensional probability. The particular themes that will be considered include (i) random matrices and random operators, (ii) geometric functional analysis and high dimensional convex geometry, (iii) point processes and interacting particle systems, and (iv) spin glasses and Gaussian free fields.

There will be research talks by invited speakers. The program will also feature two mini-courses (each four one hour lectures) by Subhroshekhar Ghosh and Mark Rudelson. An Infosys-ICTS Ramanujan lecture series (five one hour lectures) will be given by Hugo Duminil-Copin and there will be a Distinguished Lecture by Ofer Zeitouni.

ICTS is committed to building an environment that is inclusive, non-discriminatory and welcoming of diverse individuals. We especially encourage the participation of women and other under-represented groups.

CONTACT US: thdp@icts.res.in
PROGRAM LINK: https://www.icts.res.in/program/thdp

Anti-concentration and application to random polynomials by Oanh Nguyen

Irreversibility and Singularities by Berengere Dubrulle

International Centre for Theoretical Sciences 2023-01-25 | PROGRAM
TURBULENCE: PROBLEMS AT THE INTERFACE OF MATHEMATICS AND PHYSICS

ORGANIZERS
Uriel Frisch (Observatoire de la Côte d'Azur and CNRS, France), Konstantin Khanin (University of Toronto, Canada) and Rahul Pandit (IISc, India)
DATE & TIME
16 January 2023 to 27 January 2023
VENUE
Ramanujan Lecture Hall, ICTS Bengaluru & Online
The interest in turbulent flow goes back many centuries, but progress has been very slow until recently, from the point of view of ab initio theory (starting from the Euler or Navier-Stokes equations). In the 20th century, innumerable applications, e.g., in aeronautics or atmospheric and oceanic circulation, have been a major driving force for progress. In the last eighty years, thanks (a) to the scaling predictions of Kolmogorov in 1941 (K41), (b) to Onsager's 1949 (Ons49) criterion for anomalous energy dissipation, and (c) to Kraichnan's discovery of the inverse energy cascade for 2D turbulence, we have had the beginnings of a theoretical understanding. Furthermore, from experiments and numerical simulations of the last forty years, it is now clear that simple K41 scale invariance is broken and that a turbulent fluid displays multifractal scaling, which has been modelled by using various ad hoc probabilistic models, so far not deduced from the hydrodynamical equations. Recently, there has been an important advance in the ab initio mathematical understanding of turbulence: by using tools from Gromov's convex integration theory and closely related to Nash's paper on isometric embeddings, the construction of weak (distributional) solutions of the Euler equation for an incompressible, inviscid fluid has been achieved; these solutions have K41 scaling properties and possess Ons49 anomalous dissipation. This provides us with a novel framework for synthesizing turbulent flows with realistic dynamics. The time is now ripe to bring together a wide range of specialists for a new assault on the turbulence problem. We propose a cohesive mathematical, physical, and numerical strategy for constructing a large class of weak dissipative solutions with multifractal scaling, now genuinely deduced from the hydrodynamical equations. The investigation of the associated invariant measure (i.e., the long-time statistical properties) should reveal to what extent the scaling properties are characterized by universal exponents. Furthermore, there are indications that turbulence with (spatial) power-law forcing has at least two different regimes (dependent on the power-law forcing): one with scale-invariant statistics and one with multifractal statistics, i.e., broken scale invariance. These can be disentangled by using a variant of theories of spontaneous stochasticity, rough paths, and regularity structures, as recently applied to the Kardar-Parisi-Zhang (KPZ) equation. This two-week Discussion Meeting will first introduce participants to these developments and then have (a) specialised talks by leading experts in these areas and (b) focussed discussions between them to make progress on the solutions of the challenging problems here. This will be an in-person and new version of the program that was held online [https://www.icts.res.in/program/TPIMP2020] because of the pandemic. This program 2020 played an important role in developments in this area, in particular, in India. This Discussion Meeting will also have a similar effect.

ICTS is committed to building an environment that is inclusive, non-discriminatory and welcoming of diverse individuals. We especially encourage the participation of women and other under-represented groups.

CONTACT US: tpimp@icts.res.in
PROGRAM LINK: https://www.icts.res.in/program/tpimp2023

Irreversibility and Singularities by Berengere Dubrulle

International Centre for Theoretical Sciences 2023-01-25 | PROGRAM

TURBULENCE: PROBLEMS AT THE INTERFACE OF MATHEMATICS AND PHYSICS

ORGANIZERS: Uriel Frisch (Observatoire de la Côte d'Azur and CNRS, France), Konstantin Khanin (University of Toronto, Canada) and Rahul Pandit (IISc, India)

DATE : 16 January 2023 to 27 January 2023

VENUE: Ramanujan Lecture Hall, ICTS Bengaluru & Online

The interest in turbulent flow goes back many centuries, but progress has been very slow until recently, from the point of view of ab initio theory (starting from the Euler or Navier-Stokes equations). In the 20th century, innumerable applications, e.g., in aeronautics or atmospheric and oceanic circulation, have been a major driving force for progress. In the last eighty years, thanks (a) to the scaling predictions of Kolmogorov in 1941 (K41), (b) to Onsager's 1949 (Ons49) criterion for anomalous energy dissipation, and (c) to Kraichnan's discovery of the inverse energy cascade for 2D turbulence, we have had the beginnings of a theoretical understanding. Furthermore, from experiments and numerical simulations of the last forty years, it is now clear that simple K41 scale invariance is broken and that a turbulent fluid displays multifractal scaling, which has been modelled by using various ad hoc probabilistic models, so far not deduced from the hydrodynamical equations. Recently, there has been an important advance in the ab initio mathematical understanding of turbulence: by using tools from Gromov's convex integration theory and closely related to Nash's paper on isometric embeddings, the construction of weak (distributional) solutions of the Euler equation for an incompressible, inviscid fluid has been achieved; these solutions have K41 scaling properties and possess Ons49 anomalous dissipation. This provides us with a novel framework for synthesizing turbulent flows with realistic dynamics. The time is now ripe to bring together a wide range of specialists for a new assault on the turbulence problem. We propose a cohesive mathematical, physical, and numerical strategy for constructing a large class of weak dissipative solutions with multifractal scaling, now genuinely deduced from the hydrodynamical equations. The investigation of the associated invariant measure (i.e., the long-time statistical properties) should reveal to what extent the scaling properties are characterized by universal exponents. Furthermore, there are indications that turbulence with (spatial) power-law forcing has at least two different regimes (dependent on the power-law forcing): one with scale-invariant statistics and one with multifractal statistics, i.e., broken scale invariance. These can be disentangled by using a variant of theories of spontaneous stochasticity, rough paths, and regularity structures, as recently applied to the Kardar-Parisi-Zhang (KPZ) equation. This two-week Discussion Meeting will first introduce participants to these developments and then have (a) specialised talks by leading experts in these areas and (b) focussed discussions between them to make progress on the solutions of the challenging problems here. This will be an in-person and new version of the program that was held online [https://www.icts.res.in/program/TPIMP2020] because of the pandemic. This program 2020 played an important role in developments in this area, in particular, in India. This Discussion Meeting will also have a similar effect.

ICTS is committed to building an environment that is inclusive, non-discriminatory and welcoming of diverse individuals. We especially encourage the participation of women and other under-represented groups.

CONTACT US: tpimp@icts.res.in
PROGRAM LINK: https://www.icts.res.in/program/tpimp2023

Continuum Percolation in Random Environments by Benedikt Jahnel

International Centre for Theoretical Sciences 2023-01-25 | PROGRAM:

TOPICS IN HIGH DIMENSIONAL PROBABILITY

ORGANIZERS: Anirban Basak (ICTS-TIFR, India) and Riddhipratim Basu (ICTS-TIFR, India)

DATE & TIME: 02 January 2023 to 13 January 2023

VENUE: Ramanujan Lecture Hall

This program will focus on several interconnected themes in modern probability theory which can broadly be brought under the umbrella of high dimensional probability. The particular themes that will be considered include (i) random matrices and random operators, (ii) geometric functional analysis and high dimensional convex geometry, (iii) point processes and interacting particle systems, and (iv) spin glasses and Gaussian free fields.

There will be research talks by invited speakers. The program will also feature two mini-courses (each four one hour lectures) by Subhroshekhar Ghosh and Mark Rudelson. An Infosys-ICTS Ramanujan lecture series (five one hour lectures) will be given by Hugo Duminil-Copin and there will be a Distinguished Lecture by Ofer Zeitouni.

ICTS is committed to building an environment that is inclusive, non-discriminatory and welcoming of diverse individuals. We especially encourage the participation of women and other under-represented groups.

CONTACT US: thdp@icts.res.in
PROGRAM LINK: https://www.icts.res.in/program/thdp

Eye of the Tyger: early-time resonances and singularities in the inviscid Burgers by Cornelius Rampf

A New Blow-up Criterion for the 3D Euler Equations: A Computational Study by Edriss S. Titi

Remarks on the long-time dynamics of 2D Euler Abstract. We will discuss some old by Theo Drivas

International Centre for Theoretical Sciences 2023-01-24 | PROGRAM
TURBULENCE: PROBLEMS AT THE INTERFACE OF MATHEMATICS AND PHYSICS

ORGANIZERS
Uriel Frisch (Observatoire de la Côte d'Azur and CNRS, France), Konstantin Khanin (University of Toronto, Canada) and Rahul Pandit (IISc, India)
DATE & TIME
16 January 2023 to 27 January 2023
VENUE
Ramanujan Lecture Hall, ICTS Bengaluru & Online
The interest in turbulent flow goes back many centuries, but progress has been very slow until recently, from the point of view of ab initio theory (starting from the Euler or Navier-Stokes equations). In the 20th century, innumerable applications, e.g., in aeronautics or atmospheric and oceanic circulation, have been a major driving force for progress. In the last eighty years, thanks (a) to the scaling predictions of Kolmogorov in 1941 (K41), (b) to Onsager's 1949 (Ons49) criterion for anomalous energy dissipation, and (c) to Kraichnan's discovery of the inverse energy cascade for 2D turbulence, we have had the beginnings of a theoretical understanding. Furthermore, from experiments and numerical simulations of the last forty years, it is now clear that simple K41 scale invariance is broken and that a turbulent fluid displays multifractal scaling, which has been modelled by using various ad hoc probabilistic models, so far not deduced from the hydrodynamical equations. Recently, there has been an important advance in the ab initio mathematical understanding of turbulence: by using tools from Gromov's convex integration theory and closely related to Nash's paper on isometric embeddings, the construction of weak (distributional) solutions of the Euler equation for an incompressible, inviscid fluid has been achieved; these solutions have K41 scaling properties and possess Ons49 anomalous dissipation. This provides us with a novel framework for synthesizing turbulent flows with realistic dynamics. The time is now ripe to bring together a wide range of specialists for a new assault on the turbulence problem. We propose a cohesive mathematical, physical, and numerical strategy for constructing a large class of weak dissipative solutions with multifractal scaling, now genuinely deduced from the hydrodynamical equations. The investigation of the associated invariant measure (i.e., the long-time statistical properties) should reveal to what extent the scaling properties are characterized by universal exponents. Furthermore, there are indications that turbulence with (spatial) power-law forcing has at least two different regimes (dependent on the power-law forcing): one with scale-invariant statistics and one with multifractal statistics, i.e., broken scale invariance. These can be disentangled by using a variant of theories of spontaneous stochasticity, rough paths, and regularity structures, as recently applied to the Kardar-Parisi-Zhang (KPZ) equation. This two-week Discussion Meeting will first introduce participants to these developments and then have (a) specialised talks by leading experts in these areas and (b) focussed discussions between them to make progress on the solutions of the challenging problems here. This will be an in-person and new version of the program that was held online [https://www.icts.res.in/program/TPIMP2020] because of the pandemic. This program 2020 played an important role in developments in this area, in particular, in India. This Discussion Meeting will also have a similar effect.

ICTS is committed to building an environment that is inclusive, non-discriminatory and welcoming of diverse individuals. We especially encourage the participation of women and other under-represented groups.

CONTACT US: tpimp@icts.res.in
PROGRAM LINK: https://www.icts.res.in/program/tpimp2023

Meet the Author - Ananyo Bhattacharya (Science Writer)

International Centre for Theoretical Sciences 2023-01-24 | MEET THE AUTHOR

SPEAKER : Ananyo Bhattacharya (Science Writer)
WHEN: 3:30 pm to 4:30 pm Tuesday, 24 January 2023
WHERE: Ramanujan Lecture Hall, ICTS-TIFR, Bengaluru

Event Description
The Man from the Future: The Visionary Ideas of John von Neumann
John von Neumann was one of the most influential scientists who ever lived. He is also possibly the most overlooked. In a 30-minute talk, Ananyo Bhattacharya will gallop through some of von Neumann’s incredible mathematical ideas, demonstrating why his legacy is omnipresent in our lives today.

The talk will be followed by an interaction with the speaker. The event is open to the public but registration is mandatory.

About the Speaker

Dr Ananyo Bhattacharya is a science writer who has worked at The Economist and Nature. Before journalism, he was a medical researcher at the Burnham Institute in San Diego, California. He holds a degree in physics from the University of Oxford and a PhD in protein crystallography from Imperial College London. His new book The Man from the Future (Penguin, 2021) is a biography of John von Neumann.

Multi-mode Correlations in Turbulence by Gregory Falkovich

International Centre for Theoretical Sciences 2023-01-24 | PROGRAM

TURBULENCE: PROBLEMS AT THE INTERFACE OF MATHEMATICS AND PHYSICS

ORGANIZERS: Uriel Frisch (Observatoire de la Côte d'Azur and CNRS, France), Konstantin Khanin (University of Toronto, Canada) and Rahul Pandit (IISc, India)

DATE: 16 January 2023 to 27 January 2023

VENUE: Ramanujan Lecture Hall, ICTS Bengaluru & Online

The interest in turbulent flow goes back many centuries, but progress has been very slow until recently, from the point of view of ab initio theory (starting from the Euler or Navier-Stokes equations). In the 20th century, innumerable applications, e.g., in aeronautics or atmospheric and oceanic circulation, have been a major driving force for progress. In the last eighty years, thanks (a) to the scaling predictions of Kolmogorov in 1941 (K41), (b) to Onsager's 1949 (Ons49) criterion for anomalous energy dissipation, and (c) to Kraichnan's discovery of the inverse energy cascade for 2D turbulence, we have had the beginnings of a theoretical understanding. Furthermore, from experiments and numerical simulations of the last forty years, it is now clear that simple K41 scale invariance is broken and that a turbulent fluid displays multifractal scaling, which has been modelled by using various ad hoc probabilistic models, so far not deduced from the hydrodynamical equations. Recently, there has been an important advance in the ab initio mathematical understanding of turbulence: by using tools from Gromov's convex integration theory and closely related to Nash's paper on isometric embeddings, the construction of weak (distributional) solutions of the Euler equation for an incompressible, inviscid fluid has been achieved; these solutions have K41 scaling properties and possess Ons49 anomalous dissipation. This provides us with a novel framework for synthesizing turbulent flows with realistic dynamics. The time is now ripe to bring together a wide range of specialists for a new assault on the turbulence problem. We propose a cohesive mathematical, physical, and numerical strategy for constructing a large class of weak dissipative solutions with multifractal scaling, now genuinely deduced from the hydrodynamical equations. The investigation of the associated invariant measure (i.e., the long-time statistical properties) should reveal to what extent the scaling properties are characterized by universal exponents. Furthermore, there are indications that turbulence with (spatial) power-law forcing has at least two different regimes (dependent on the power-law forcing): one with scale-invariant statistics and one with multifractal statistics, i.e., broken scale invariance. These can be disentangled by using a variant of theories of spontaneous stochasticity, rough paths, and regularity structures, as recently applied to the Kardar-Parisi-Zhang (KPZ) equation. This two-week Discussion Meeting will first introduce participants to these developments and then have (a) specialised talks by leading experts in these areas and (b) focussed discussions between them to make progress on the solutions of the challenging problems here. This will be an in-person and new version of the program that was held online [https://www.icts.res.in/program/TPIMP2020] because of the pandemic. This program 2020 played an important role in developments in this area, in particular, in India. This Discussion Meeting will also have a similar effect.

ICTS is committed to building an environment that is inclusive, non-discriminatory and welcoming of diverse individuals. We especially encourage the participation of women and other under-represented groups.

CONTACT US: tpimp@icts.res.in
PROGRAM LINK: https://www.icts.res.in/program/tpimp2023

Polymers in Turbulence: Stretching Statistics and the Role of Extreme Strain...by Dario Vincenzi

Transport Problems Related to the Random Forced Burgers Equation by Konstantin Khanin

Leonardo da Vinci, Andrei Kolmogorov and Giorgio Parisi. The Energy Decay... by Uriel Frisch

International Centre for Theoretical Sciences 2023-01-23 | PROGRAM
TURBULENCE: PROBLEMS AT THE INTERFACE OF MATHEMATICS AND PHYSICS

ORGANIZERS
Uriel Frisch (Observatoire de la Côte d'Azur and CNRS, France), Konstantin Khanin (University of Toronto, Canada) and Rahul Pandit (IISc, India)
DATE & TIME
16 January 2023 to 27 January 2023
VENUE
Ramanujan Lecture Hall, ICTS Bengaluru & Online
The interest in turbulent flow goes back many centuries, but progress has been very slow until recently, from the point of view of ab initio theory (starting from the Euler or Navier-Stokes equations). In the 20th century, innumerable applications, e.g., in aeronautics or atmospheric and oceanic circulation, have been a major driving force for progress. In the last eighty years, thanks (a) to the scaling predictions of Kolmogorov in 1941 (K41), (b) to Onsager's 1949 (Ons49) criterion for anomalous energy dissipation, and (c) to Kraichnan's discovery of the inverse energy cascade for 2D turbulence, we have had the beginnings of a theoretical understanding. Furthermore, from experiments and numerical simulations of the last forty years, it is now clear that simple K41 scale invariance is broken and that a turbulent fluid displays multifractal scaling, which has been modelled by using various ad hoc probabilistic models, so far not deduced from the hydrodynamical equations. Recently, there has been an important advance in the ab initio mathematical understanding of turbulence: by using tools from Gromov's convex integration theory and closely related to Nash's paper on isometric embeddings, the construction of weak (distributional) solutions of the Euler equation for an incompressible, inviscid fluid has been achieved; these solutions have K41 scaling properties and possess Ons49 anomalous dissipation. This provides us with a novel framework for synthesizing turbulent flows with realistic dynamics. The time is now ripe to bring together a wide range of specialists for a new assault on the turbulence problem. We propose a cohesive mathematical, physical, and numerical strategy for constructing a large class of weak dissipative solutions with multifractal scaling, now genuinely deduced from the hydrodynamical equations. The investigation of the associated invariant measure (i.e., the long-time statistical properties) should reveal to what extent the scaling properties are characterized by universal exponents. Furthermore, there are indications that turbulence with (spatial) power-law forcing has at least two different regimes (dependent on the power-law forcing): one with scale-invariant statistics and one with multifractal statistics, i.e., broken scale invariance. These can be disentangled by using a variant of theories of spontaneous stochasticity, rough paths, and regularity structures, as recently applied to the Kardar-Parisi-Zhang (KPZ) equation. This two-week Discussion Meeting will first introduce participants to these developments and then have (a) specialised talks by leading experts in these areas and (b) focussed discussions between them to make progress on the solutions of the challenging problems here. This will be an in-person and new version of the program that was held online [https://www.icts.res.in/program/TPIMP2020] because of the pandemic. This program 2020 played an important role in developments in this area, in particular, in India. This Discussion Meeting will also have a similar effect.

ICTS is committed to building an environment that is inclusive, non-discriminatory and welcoming of diverse individuals. We especially encourage the participation of women and other under-represented groups.

CONTACT US: tpimp@icts.res.in
PROGRAM LINK: https://www.icts.res.in/program/tpimp2023

Necessary and Sufficient Conditions for Energy Balance in 2D Incompr... by Helena Nussenzveig Lopes

Functional Renormalisation group Approach to Turbulence by Léonie Canet

Dynamics of quantum entanglement by Sthitadhi Roy

International Centre for Theoretical Sciences 2023-01-23 | Vigyan Adda

Dynamics of quantum entanglement

Speaker: Sthitadhi Roy (ICTS-TIFR)

When: 4:30 pm to 5:30 pm Thursday, 02 February 2023

Where: Online

Abstract:

Quantum entanglement is one of the central tenets of quantum mechanics. In fact, it can be understood as the notion that distinguishes what is truly quantum from classical about the state of a system. Loosely speaking, entanglement between different parts of a system can be thought of as there existing complicated correlations between the different parts and the information of the state being encoded collectively across all the constituents. As such, each constituent cannot be described independently of the other. In this talk, I will put these ideas on a formal footing and introduce the ideas of entanglement entropies as a quantitative measure of entanglement. Having introduced the notion of quantum entanglement, in the next part of the talk, I will discuss its dynamics. Quantum mechanics can be operationally understood as a theory of unitary dynamics and projective measurements. I will explain how these two players compete against each other in terms of their effect on the dynamics of entanglement and in fact, give rise to new kinds of dynamical phase transitions between phases characterised by their entanglement structure. Finally, I will discuss some ideas that experimentalists have been using to measure entanglement entropies in laboratories.

About the Speaker:

Sthitadhi Roy is a theoretical physicist at the International Centre for Theoretical Sciences-TIFR, Bengaluru who works at the interface of quantum condensed matter and statistical physics. His current research interests revolve around the out-of-equilibrium dynamics of quantum many-body systems with a certain focus on disordered systems and quantum entanglement. He obtained his undergraduate degree (M.Sc integrated) from IIT Kanpur in 2013 and pursued his doctoral research at the Max-Planck-Institute for Physics of Complex Systems, Dresden, Germany where he finished his PhD in 2017. Before joining ICTS-TIFR, he spent a little over four years at the Rudolf Peierls Centre for Theoretical Physics, University of Oxford.

Turbulence : An introduction to Randomly Forced Models by Jayanta K Bhattacharjee

International Centre for Theoretical Sciences 2023-01-23 | PROGRAM
TURBULENCE: PROBLEMS AT THE INTERFACE OF MATHEMATICS AND PHYSICS

ORGANIZERS
Uriel Frisch (Observatoire de la Côte d'Azur and CNRS, France), Konstantin Khanin (University of Toronto, Canada) and Rahul Pandit (IISc, India)
DATE & TIME
16 January 2023 to 27 January 2023
VENUE
Ramanujan Lecture Hall, ICTS Bengaluru & Online
The interest in turbulent flow goes back many centuries, but progress has been very slow until recently, from the point of view of ab initio theory (starting from the Euler or Navier-Stokes equations). In the 20th century, innumerable applications, e.g., in aeronautics or atmospheric and oceanic circulation, have been a major driving force for progress. In the last eighty years, thanks (a) to the scaling predictions of Kolmogorov in 1941 (K41), (b) to Onsager's 1949 (Ons49) criterion for anomalous energy dissipation, and (c) to Kraichnan's discovery of the inverse energy cascade for 2D turbulence, we have had the beginnings of a theoretical understanding. Furthermore, from experiments and numerical simulations of the last forty years, it is now clear that simple K41 scale invariance is broken and that a turbulent fluid displays multifractal scaling, which has been modelled by using various ad hoc probabilistic models, so far not deduced from the hydrodynamical equations. Recently, there has been an important advance in the ab initio mathematical understanding of turbulence: by using tools from Gromov's convex integration theory and closely related to Nash's paper on isometric embeddings, the construction of weak (distributional) solutions of the Euler equation for an incompressible, inviscid fluid has been achieved; these solutions have K41 scaling properties and possess Ons49 anomalous dissipation. This provides us with a novel framework for synthesizing turbulent flows with realistic dynamics. The time is now ripe to bring together a wide range of specialists for a new assault on the turbulence problem. We propose a cohesive mathematical, physical, and numerical strategy for constructing a large class of weak dissipative solutions with multifractal scaling, now genuinely deduced from the hydrodynamical equations. The investigation of the associated invariant measure (i.e., the long-time statistical properties) should reveal to what extent the scaling properties are characterized by universal exponents. Furthermore, there are indications that turbulence with (spatial) power-law forcing has at least two different regimes (dependent on the power-law forcing): one with scale-invariant statistics and one with multifractal statistics, i.e., broken scale invariance. These can be disentangled by using a variant of theories of spontaneous stochasticity, rough paths, and regularity structures, as recently applied to the Kardar-Parisi-Zhang (KPZ) equation. This two-week Discussion Meeting will first introduce participants to these developments and then have (a) specialised talks by leading experts in these areas and (b) focussed discussions between them to make progress on the solutions of the challenging problems here. This will be an in-person and new version of the program that was held online [https://www.icts.res.in/program/TPIMP...] because of the pandemic. This program 2020 played an important role in developments in this area, in particular, in India. This Discussion Meeting will also have a similar effect.

ICTS is committed to building an environment that is inclusive, non-discriminatory and welcoming of diverse individuals. We especially encourage the participation of women and other under-represented groups.

Eligibility Criteria: Registration is open to advanced graduate students, postdocs and other researchers/faculties working in related areas.

CONTACT US
tpimp@icts.res.in
PROGRAM LINK
https://www.icts.res.in/program/tpimp...

Fluid Flows and Boundaries on Logarithmic Lattices by Ciro Campolina, Samriddhi Shankar Ray

Post-modern turbulence by Dhrubaditya Mitra

International Centre for Theoretical Sciences 2023-01-23 | PROGRAM
TURBULENCE: PROBLEMS AT THE INTERFACE OF MATHEMATICS AND PHYSICS

ORGANIZERS
Uriel Frisch (Observatoire de la Côte d'Azur and CNRS, France), Konstantin Khanin (University of Toronto, Canada) and Rahul Pandit (IISc, India)
DATE & TIME
16 January 2023 to 27 January 2023
VENUE
Ramanujan Lecture Hall, ICTS Bengaluru & Online
The interest in turbulent flow goes back many centuries, but progress has been very slow until recently, from the point of view of ab initio theory (starting from the Euler or Navier-Stokes equations). In the 20th century, innumerable applications, e.g., in aeronautics or atmospheric and oceanic circulation, have been a major driving force for progress. In the last eighty years, thanks (a) to the scaling predictions of Kolmogorov in 1941 (K41), (b) to Onsager's 1949 (Ons49) criterion for anomalous energy dissipation, and (c) to Kraichnan's discovery of the inverse energy cascade for 2D turbulence, we have had the beginnings of a theoretical understanding. Furthermore, from experiments and numerical simulations of the last forty years, it is now clear that simple K41 scale invariance is broken and that a turbulent fluid displays multifractal scaling, which has been modelled by using various ad hoc probabilistic models, so far not deduced from the hydrodynamical equations. Recently, there has been an important advance in the ab initio mathematical understanding of turbulence: by using tools from Gromov's convex integration theory and closely related to Nash's paper on isometric embeddings, the construction of weak (distributional) solutions of the Euler equation for an incompressible, inviscid fluid has been achieved; these solutions have K41 scaling properties and possess Ons49 anomalous dissipation. This provides us with a novel framework for synthesizing turbulent flows with realistic dynamics. The time is now ripe to bring together a wide range of specialists for a new assault on the turbulence problem. We propose a cohesive mathematical, physical, and numerical strategy for constructing a large class of weak dissipative solutions with multifractal scaling, now genuinely deduced from the hydrodynamical equations. The investigation of the associated invariant measure (i.e., the long-time statistical properties) should reveal to what extent the scaling properties are characterized by universal exponents. Furthermore, there are indications that turbulence with (spatial) power-law forcing has at least two different regimes (dependent on the power-law forcing): one with scale-invariant statistics and one with multifractal statistics, i.e., broken scale invariance. These can be disentangled by using a variant of theories of spontaneous stochasticity, rough paths, and regularity structures, as recently applied to the Kardar-Parisi-Zhang (KPZ) equation. This two-week Discussion Meeting will first introduce participants to these developments and then have (a) specialised talks by leading experts in these areas and (b) focussed discussions between them to make progress on the solutions of the challenging problems here. This will be an in-person and new version of the program that was held online [https://www.icts.res.in/program/TPIMP2020] because of the pandemic. This program 2020 played an important role in developments in this area, in particular, in India. This Discussion Meeting will also have a similar effect.

ICTS is committed to building an environment that is inclusive, non-discriminatory and welcoming of diverse individuals. We especially encourage the participation of women and other under-represented groups.

Eligibility Criteria: Registration is open to advanced graduate students, postdocs and other researchers/faculties working in related areas.

CONTACT US
tpimp@icts.res.in
PROGRAM LINK
https://www.icts.res.in/program/tpimp2023

Anomalous Dissipation and Spontaneous Stochasticity in Deterministic Surface..... by Jeremie Bec

Remarks on Boussinesq eddy viscosity hypothesis from a stochastic analysis... by Franco Flandoli

International Centre for Theoretical Sciences 2023-01-20 | PROGRAM
TURBULENCE: PROBLEMS AT THE INTERFACE OF MATHEMATICS AND PHYSICS

ORGANIZERS
Uriel Frisch (Observatoire de la Côte d'Azur and CNRS, France), Konstantin Khanin (University of Toronto, Canada) and Rahul Pandit (IISc, India)
DATE & TIME
16 January 2023 to 27 January 2023
VENUE
Ramanujan Lecture Hall, ICTS Bengaluru & Online
The interest in turbulent flow goes back many centuries, but progress has been very slow until recently, from the point of view of ab initio theory (starting from the Euler or Navier-Stokes equations). In the 20th century, innumerable applications, e.g., in aeronautics or atmospheric and oceanic circulation, have been a major driving force for progress. In the last eighty years, thanks (a) to the scaling predictions of Kolmogorov in 1941 (K41), (b) to Onsager's 1949 (Ons49) criterion for anomalous energy dissipation, and (c) to Kraichnan's discovery of the inverse energy cascade for 2D turbulence, we have had the beginnings of a theoretical understanding. Furthermore, from experiments and numerical simulations of the last forty years, it is now clear that simple K41 scale invariance is broken and that a turbulent fluid displays multifractal scaling, which has been modelled by using various ad hoc probabilistic models, so far not deduced from the hydrodynamical equations. Recently, there has been an important advance in the ab initio mathematical understanding of turbulence: by using tools from Gromov's convex integration theory and closely related to Nash's paper on isometric embeddings, the construction of weak (distributional) solutions of the Euler equation for an incompressible, inviscid fluid has been achieved; these solutions have K41 scaling properties and possess Ons49 anomalous dissipation. This provides us with a novel framework for synthesizing turbulent flows with realistic dynamics. The time is now ripe to bring together a wide range of specialists for a new assault on the turbulence problem. We propose a cohesive mathematical, physical, and numerical strategy for constructing a large class of weak dissipative solutions with multifractal scaling, now genuinely deduced from the hydrodynamical equations. The investigation of the associated invariant measure (i.e., the long-time statistical properties) should reveal to what extent the scaling properties are characterized by universal exponents. Furthermore, there are indications that turbulence with (spatial) power-law forcing has at least two different regimes (dependent on the power-law forcing): one with scale-invariant statistics and one with multifractal statistics, i.e., broken scale invariance. These can be disentangled by using a variant of theories of spontaneous stochasticity, rough paths, and regularity structures, as recently applied to the Kardar-Parisi-Zhang (KPZ) equation. This two-week Discussion Meeting will first introduce participants to these developments and then have (a) specialised talks by leading experts in these areas and (b) focussed discussions between them to make progress on the solutions of the challenging problems here. This will be an in-person and new version of the program that was held online [https://www.icts.res.in/program/TPIMP2020] because of the pandemic. This program 2020 played an important role in developments in this area, in particular, in India. This Discussion Meeting will also have a similar effect.

ICTS is committed to building an environment that is inclusive, non-discriminatory and welcoming of diverse individuals. We especially encourage the participation of women and other under-represented groups.

CONTACT US: tpimp@icts.res.in
PROGRAM LINK: https://www.icts.res.in/program/tpimp2023

Fluctuations, Dissipation and Transitional Scaling in Turbulent Pipe Flow by Nigel Goldenfeld

The 3D Axisymmetric Euler Equation: A Pseudospectral Investigation of a... by Rahul Pandit

International Centre for Theoretical Sciences 2023-01-19 | PROGRAM
TURBULENCE: PROBLEMS AT THE INTERFACE OF MATHEMATICS AND PHYSICS

ORGANIZERS
Uriel Frisch (Observatoire de la Côte d'Azur and CNRS, France), Konstantin Khanin (University of Toronto, Canada) and Rahul Pandit (IISc, India)
DATE & TIME
16 January 2023 to 27 January 2023
VENUE
Ramanujan Lecture Hall, ICTS Bengaluru & Online
The interest in turbulent flow goes back many centuries, but progress has been very slow until recently, from the point of view of ab initio theory (starting from the Euler or Navier-Stokes equations). In the 20th century, innumerable applications, e.g., in aeronautics or atmospheric and oceanic circulation, have been a major driving force for progress. In the last eighty years, thanks (a) to the scaling predictions of Kolmogorov in 1941 (K41), (b) to Onsager's 1949 (Ons49) criterion for anomalous energy dissipation, and (c) to Kraichnan's discovery of the inverse energy cascade for 2D turbulence, we have had the beginnings of a theoretical understanding. Furthermore, from experiments and numerical simulations of the last forty years, it is now clear that simple K41 scale invariance is broken and that a turbulent fluid displays multifractal scaling, which has been modelled by using various ad hoc probabilistic models, so far not deduced from the hydrodynamical equations. Recently, there has been an important advance in the ab initio mathematical understanding of turbulence: by using tools from Gromov's convex integration theory and closely related to Nash's paper on isometric embeddings, the construction of weak (distributional) solutions of the Euler equation for an incompressible, inviscid fluid has been achieved; these solutions have K41 scaling properties and possess Ons49 anomalous dissipation. This provides us with a novel framework for synthesizing turbulent flows with realistic dynamics. The time is now ripe to bring together a wide range of specialists for a new assault on the turbulence problem. We propose a cohesive mathematical, physical, and numerical strategy for constructing a large class of weak dissipative solutions with multifractal scaling, now genuinely deduced from the hydrodynamical equations. The investigation of the associated invariant measure (i.e., the long-time statistical properties) should reveal to what extent the scaling properties are characterized by universal exponents. Furthermore, there are indications that turbulence with (spatial) power-law forcing has at least two different regimes (dependent on the power-law forcing): one with scale-invariant statistics and one with multifractal statistics, i.e., broken scale invariance. These can be disentangled by using a variant of theories of spontaneous stochasticity, rough paths, and regularity structures, as recently applied to the Kardar-Parisi-Zhang (KPZ) equation. This two-week Discussion Meeting will first introduce participants to these developments and then have (a) specialised talks by leading experts in these areas and (b) focussed discussions between them to make progress on the solutions of the challenging problems here. This will be an in-person and new version of the program that was held online [https://www.icts.res.in/program/TPIMP2020] because of the pandemic. This program 2020 played an important role in developments in this area, in particular, in India. This Discussion Meeting will also have a similar effect.

ICTS is committed to building an environment that is inclusive, non-discriminatory and welcoming of diverse individuals. We especially encourage the participation of women and other under-represented groups.

CONTACT US: tpimp@icts.res.in
PROGRAM LINK: https://www.icts.res.in/program/tpimp2023

The Galerkin-truncated Burgers equation: crossover from inviscid-thermalized... by Marc E. Brachet

Crossovers in the Kolmogorov Spectrum of Turbulence by Jayanta K. Bhattacharjee

Statistical Equilibrium of Circulating Fluids by Alexander Migdal

Data-driven tools for Turbulence Problems by Luca Biferale

International Centre for Theoretical Sciences 2023-01-18 | PROGRAM
TURBULENCE: PROBLEMS AT THE INTERFACE OF MATHEMATICS AND PHYSICS

ORGANIZERS
Uriel Frisch (Observatoire de la Côte d'Azur and CNRS, France), Konstantin Khanin (University of Toronto, Canada) and Rahul Pandit (IISc, India)
DATE & TIME
16 January 2023 to 27 January 2023
VENUE
Ramanujan Lecture Hall, ICTS Bengaluru & Online
The interest in turbulent flow goes back many centuries, but progress has been very slow until recently, from the point of view of ab initio theory (starting from the Euler or Navier-Stokes equations). In the 20th century, innumerable applications, e.g., in aeronautics or atmospheric and oceanic circulation, have been a major driving force for progress. In the last eighty years, thanks (a) to the scaling predictions of Kolmogorov in 1941 (K41), (b) to Onsager's 1949 (Ons49) criterion for anomalous energy dissipation, and (c) to Kraichnan's discovery of the inverse energy cascade for 2D turbulence, we have had the beginnings of a theoretical understanding. Furthermore, from experiments and numerical simulations of the last forty years, it is now clear that simple K41 scale invariance is broken and that a turbulent fluid displays multifractal scaling, which has been modelled by using various ad hoc probabilistic models, so far not deduced from the hydrodynamical equations. Recently, there has been an important advance in the ab initio mathematical understanding of turbulence: by using tools from Gromov's convex integration theory and closely related to Nash's paper on isometric embeddings, the construction of weak (distributional) solutions of the Euler equation for an incompressible, inviscid fluid has been achieved; these solutions have K41 scaling properties and possess Ons49 anomalous dissipation. This provides us with a novel framework for synthesizing turbulent flows with realistic dynamics. The time is now ripe to bring together a wide range of specialists for a new assault on the turbulence problem. We propose a cohesive mathematical, physical, and numerical strategy for constructing a large class of weak dissipative solutions with multifractal scaling, now genuinely deduced from the hydrodynamical equations. The investigation of the associated invariant measure (i.e., the long-time statistical properties) should reveal to what extent the scaling properties are characterized by universal exponents. Furthermore, there are indications that turbulence with (spatial) power-law forcing has at least two different regimes (dependent on the power-law forcing): one with scale-invariant statistics and one with multifractal statistics, i.e., broken scale invariance. These can be disentangled by using a variant of theories of spontaneous stochasticity, rough paths, and regularity structures, as recently applied to the Kardar-Parisi-Zhang (KPZ) equation. This two-week Discussion Meeting will first introduce participants to these developments and then have (a) specialised talks by leading experts in these areas and (b) focussed discussions between them to make progress on the solutions of the challenging problems here. This will be an in-person and new version of the program that was held online [https://www.icts.res.in/program/TPIMP2020] because of the pandemic. This program 2020 played an important role in developments in this area, in particular, in India. This Discussion Meeting will also have a similar effect.

ICTS is committed to building an environment that is inclusive, non-discriminatory and welcoming of diverse individuals. We especially encourage the participation of women and other under-represented groups.

CONTACT US: tpimp@icts.res.in
PROGRAM LINK: https://www.icts.res.in/program/tpimp2023

Surprises in Euler Turbulence: Emergence of Order in 2D Euler Turbulence by Mahendra K Verma

Physical insights from a numerical simulation of the dissipative Euler flow by Takeshi Matsumoto

Boundary Effects in the zero Viscosity limit of Solutions of Navier Stokes... by Claude Bardos

International Centre for Theoretical Sciences 2023-01-17 | PROGRAM
TURBULENCE: PROBLEMS AT THE INTERFACE OF MATHEMATICS AND PHYSICS

ORGANIZERS
Uriel Frisch (Observatoire de la Côte d'Azur and CNRS, France), Konstantin Khanin (University of Toronto, Canada) and Rahul Pandit (IISc, India)
DATE & TIME
16 January 2023 to 27 January 2023
VENUE
Ramanujan Lecture Hall, ICTS Bengaluru & Online
The interest in turbulent flow goes back many centuries, but progress has been very slow until recently, from the point of view of ab initio theory (starting from the Euler or Navier-Stokes equations). In the 20th century, innumerable applications, e.g., in aeronautics or atmospheric and oceanic circulation, have been a major driving force for progress. In the last eighty years, thanks (a) to the scaling predictions of Kolmogorov in 1941 (K41), (b) to Onsager's 1949 (Ons49) criterion for anomalous energy dissipation, and (c) to Kraichnan's discovery of the inverse energy cascade for 2D turbulence, we have had the beginnings of a theoretical understanding. Furthermore, from experiments and numerical simulations of the last forty years, it is now clear that simple K41 scale invariance is broken and that a turbulent fluid displays multifractal scaling, which has been modelled by using various ad hoc probabilistic models, so far not deduced from the hydrodynamical equations. Recently, there has been an important advance in the ab initio mathematical understanding of turbulence: by using tools from Gromov's convex integration theory and closely related to Nash's paper on isometric embeddings, the construction of weak (distributional) solutions of the Euler equation for an incompressible, inviscid fluid has been achieved; these solutions have K41 scaling properties and possess Ons49 anomalous dissipation. This provides us with a novel framework for synthesizing turbulent flows with realistic dynamics. The time is now ripe to bring together a wide range of specialists for a new assault on the turbulence problem. We propose a cohesive mathematical, physical, and numerical strategy for constructing a large class of weak dissipative solutions with multifractal scaling, now genuinely deduced from the hydrodynamical equations. The investigation of the associated invariant measure (i.e., the long-time statistical properties) should reveal to what extent the scaling properties are characterized by universal exponents. Furthermore, there are indications that turbulence with (spatial) power-law forcing has at least two different regimes (dependent on the power-law forcing): one with scale-invariant statistics and one with multifractal statistics, i.e., broken scale invariance. These can be disentangled by using a variant of theories of spontaneous stochasticity, rough paths, and regularity structures, as recently applied to the Kardar-Parisi-Zhang (KPZ) equation. This two-week Discussion Meeting will first introduce participants to these developments and then have (a) specialised talks by leading experts in these areas and (b) focussed discussions between them to make progress on the solutions of the challenging problems here. This will be an in-person and new version of the program that was held online [https://www.icts.res.in/program/TPIMP2020] because of the pandemic. This program 2020 played an important role in developments in this area, in particular, in India. This Discussion Meeting will also have a similar effect.

ICTS is committed to building an environment that is inclusive, non-discriminatory and welcoming of diverse individuals. We especially encourage the participation of women and other under-represented groups.

CONTACT US: tpimp@icts.res.in
PROGRAM LINK: https://www.icts.res.in/program/tpimp2023

Decay of Small-scale Localized Turbulence by Takeshi Matsumoto

Convex Integration Applied to Fluid Dynamics by Helena Nussenzveig Lopes

International Centre for Theoretical Sciences 2023-01-16 | PROGRAM
TURBULENCE: PROBLEMS AT THE INTERFACE OF MATHEMATICS AND PHYSICS

ORGANIZERS
Uriel Frisch (Observatoire de la Côte d'Azur and CNRS, France), Konstantin Khanin (University of Toronto, Canada) and Rahul Pandit (IISc, India)
DATE & TIME
16 January 2023 to 27 January 2023
VENUE
Ramanujan Lecture Hall, ICTS Bengaluru & Online
The interest in turbulent flow goes back many centuries, but progress has been very slow until recently, from the point of view of ab initio theory (starting from the Euler or Navier-Stokes equations). In the 20th century, innumerable applications, e.g., in aeronautics or atmospheric and oceanic circulation, have been a major driving force for progress. In the last eighty years, thanks (a) to the scaling predictions of Kolmogorov in 1941 (K41), (b) to Onsager's 1949 (Ons49) criterion for anomalous energy dissipation, and (c) to Kraichnan's discovery of the inverse energy cascade for 2D turbulence, we have had the beginnings of a theoretical understanding. Furthermore, from experiments and numerical simulations of the last forty years, it is now clear that simple K41 scale invariance is broken and that a turbulent fluid displays multifractal scaling, which has been modelled by using various ad hoc probabilistic models, so far not deduced from the hydrodynamical equations. Recently, there has been an important advance in the ab initio mathematical understanding of turbulence: by using tools from Gromov's convex integration theory and closely related to Nash's paper on isometric embeddings, the construction of weak (distributional) solutions of the Euler equation for an incompressible, inviscid fluid has been achieved; these solutions have K41 scaling properties and possess Ons49 anomalous dissipation. This provides us with a novel framework for synthesizing turbulent flows with realistic dynamics. The time is now ripe to bring together a wide range of specialists for a new assault on the turbulence problem. We propose a cohesive mathematical, physical, and numerical strategy for constructing a large class of weak dissipative solutions with multifractal scaling, now genuinely deduced from the hydrodynamical equations. The investigation of the associated invariant measure (i.e., the long-time statistical properties) should reveal to what extent the scaling properties are characterized by universal exponents. Furthermore, there are indications that turbulence with (spatial) power-law forcing has at least two different regimes (dependent on the power-law forcing): one with scale-invariant statistics and one with multifractal statistics, i.e., broken scale invariance. These can be disentangled by using a variant of theories of spontaneous stochasticity, rough paths, and regularity structures, as recently applied to the Kardar-Parisi-Zhang (KPZ) equation. This two-week Discussion Meeting will first introduce participants to these developments and then have (a) specialised talks by leading experts in these areas and (b) focussed discussions between them to make progress on the solutions of the challenging problems here. This will be an in-person and new version of the program that was held online [https://www.icts.res.in/program/TPIMP2020] because of the pandemic. This program 2020 played an important role in developments in this area, in particular, in India. This Discussion Meeting will also have a similar effect.

ICTS is committed to building an environment that is inclusive, non-discriminatory and welcoming of diverse individuals. We especially encourage the participation of women and other under-represented groups.

CONTACT US: tpimp@icts.res.in
PROGRAM LINK: https://www.icts.res.in/program/tpimp2023

Analysis and Multifractality in the NS and ITT Equations by John D. Gibbon

International Centre for Theoretical Sciences 2023-01-16 | PROGRAM
TURBULENCE: PROBLEMS AT THE INTERFACE OF MATHEMATICS AND PHYSICS

ORGANIZERS
Uriel Frisch (Observatoire de la Côte d'Azur and CNRS, France), Konstantin Khanin (University of Toronto, Canada) and Rahul Pandit (IISc, India)
DATE & TIME
16 January 2023 to 27 January 2023
VENUE
Ramanujan Lecture Hall, ICTS Bengaluru & Online
The interest in turbulent flow goes back many centuries, but progress has been very slow until recently, from the point of view of ab initio theory (starting from the Euler or Navier-Stokes equations). In the 20th century, innumerable applications, e.g., in aeronautics or atmospheric and oceanic circulation, have been a major driving force for progress. In the last eighty years, thanks (a) to the scaling predictions of Kolmogorov in 1941 (K41), (b) to Onsager's 1949 (Ons49) criterion for anomalous energy dissipation, and (c) to Kraichnan's discovery of the inverse energy cascade for 2D turbulence, we have had the beginnings of a theoretical understanding. Furthermore, from experiments and numerical simulations of the last forty years, it is now clear that simple K41 scale invariance is broken and that a turbulent fluid displays multifractal scaling, which has been modelled by using various ad hoc probabilistic models, so far not deduced from the hydrodynamical equations. Recently, there has been an important advance in the ab initio mathematical understanding of turbulence: by using tools from Gromov's convex integration theory and closely related to Nash's paper on isometric embeddings, the construction of weak (distributional) solutions of the Euler equation for an incompressible, inviscid fluid has been achieved; these solutions have K41 scaling properties and possess Ons49 anomalous dissipation. This provides us with a novel framework for synthesizing turbulent flows with realistic dynamics. The time is now ripe to bring together a wide range of specialists for a new assault on the turbulence problem. We propose a cohesive mathematical, physical, and numerical strategy for constructing a large class of weak dissipative solutions with multifractal scaling, now genuinely deduced from the hydrodynamical equations. The investigation of the associated invariant measure (i.e., the long-time statistical properties) should reveal to what extent the scaling properties are characterized by universal exponents. Furthermore, there are indications that turbulence with (spatial) power-law forcing has at least two different regimes (dependent on the power-law forcing): one with scale-invariant statistics and one with multifractal statistics, i.e., broken scale invariance. These can be disentangled by using a variant of theories of spontaneous stochasticity, rough paths, and regularity structures, as recently applied to the Kardar-Parisi-Zhang (KPZ) equation. This two-week Discussion Meeting will first introduce participants to these developments and then have (a) specialised talks by leading experts in these areas and (b) focussed discussions between them to make progress on the solutions of the challenging problems here. This will be an in-person and new version of the program that was held online [https://www.icts.res.in/program/TPIMP2020] because of the pandemic. This program 2020 played an important role in developments in this area, in particular, in India. This Discussion Meeting will also have a similar effect.

ICTS is committed to building an environment that is inclusive, non-discriminatory and welcoming of diverse individuals. We especially encourage the participation of women and other under-represented groups.

Eligibility Criteria: Registration is open to advanced graduate students, postdocs and other researchers/faculties working in related areas.

CONTACT US
tpimp@icts.res.in
PROGRAM LINK
https://www.icts.res.in/program/tpimp2023

Turbulence : An introduction to randomly forced models by Jayanta K

International Centre for Theoretical Sciences 2023-01-16 | PROGRAM
TURBULENCE: PROBLEMS AT THE INTERFACE OF MATHEMATICS AND PHYSICS

ORGANIZERS
Uriel Frisch (Observatoire de la Côte d'Azur and CNRS, France), Konstantin Khanin (University of Toronto, Canada) and Rahul Pandit (IISc, India)
DATE & TIME
16 January 2023 to 27 January 2023
VENUE
Ramanujan Lecture Hall, ICTS Bengaluru & Online
The interest in turbulent flow goes back many centuries, but progress has been very slow until recently, from the point of view of ab initio theory (starting from the Euler or Navier-Stokes equations). In the 20th century, innumerable applications, e.g., in aeronautics or atmospheric and oceanic circulation, have been a major driving force for progress. In the last eighty years, thanks (a) to the scaling predictions of Kolmogorov in 1941 (K41), (b) to Onsager's 1949 (Ons49) criterion for anomalous energy dissipation, and (c) to Kraichnan's discovery of the inverse energy cascade for 2D turbulence, we have had the beginnings of a theoretical understanding. Furthermore, from experiments and numerical simulations of the last forty years, it is now clear that simple K41 scale invariance is broken and that a turbulent fluid displays multifractal scaling, which has been modelled by using various ad hoc probabilistic models, so far not deduced from the hydrodynamical equations. Recently, there has been an important advance in the ab initio mathematical understanding of turbulence: by using tools from Gromov's convex integration theory and closely related to Nash's paper on isometric embeddings, the construction of weak (distributional) solutions of the Euler equation for an incompressible, inviscid fluid has been achieved; these solutions have K41 scaling properties and possess Ons49 anomalous dissipation. This provides us with a novel framework for synthesizing turbulent flows with realistic dynamics. The time is now ripe to bring together a wide range of specialists for a new assault on the turbulence problem. We propose a cohesive mathematical, physical, and numerical strategy for constructing a large class of weak dissipative solutions with multifractal scaling, now genuinely deduced from the hydrodynamical equations. The investigation of the associated invariant measure (i.e., the long-time statistical properties) should reveal to what extent the scaling properties are characterized by universal exponents. Furthermore, there are indications that turbulence with (spatial) power-law forcing has at least two different regimes (dependent on the power-law forcing): one with scale-invariant statistics and one with multifractal statistics, i.e., broken scale invariance. These can be disentangled by using a variant of theories of spontaneous stochasticity, rough paths, and regularity structures, as recently applied to the Kardar-Parisi-Zhang (KPZ) equation. This two-week Discussion Meeting will first introduce participants to these developments and then have (a) specialised talks by leading experts in these areas and (b) focussed discussions between them to make progress on the solutions of the challenging problems here. This will be an in-person and new version of the program that was held online [https://www.icts.res.in/program/TPIMP2020] because of the pandemic. This program 2020 played an important role in developments in this area, in particular, in India. This Discussion Meeting will also have a similar effect.

ICTS is committed to building an environment that is inclusive, non-discriminatory and welcoming of diverse individuals. We especially encourage the participation of women and other under-represented groups.

Eligibility Criteria: Registration is open to advanced graduate students, postdocs and other researchers/faculties working in related areas.

CONTACT US
tpimp@icts.res.in
PROGRAM LINK
https://www.icts.res.in/program/tpimp2023

Black Holes, Quantum Mechanics and the Reversibility of Time by Suvrat Raju

International Centre for Theoretical Sciences 2023-01-14 | Kaapi with Kuriosity

Black Holes, Quantum Mechanics and the Reversibility of Time

Speaker: Suvrat Raju (International Centre for Theoretical Sciences)

When: 4:00 pm to 5:30 pm Saturday, 14 January 2023

Where: Jawaharlal Nehru Planetarium, Bengaluru

Abstract:

Black Holes are enigmatic objects that pepper the Universe around us. Their existence was predicted theoretically by the modern theory of gravity and has been confirmed by a wide variety of observations. Quantum Mechanics is one of the most successful theories known to humanity. Although it was originally developed to study atoms, it is believed that quantum mechanics underpins the dynamics of all physical systems. However, paradoxes arise when one attempts to apply quantum mechanics to black holes. The most famous of these - called the "information paradox" - has to do with the nature of time. This talk will describe these ideas and paradoxes, and the recent progress that has been made towards their resolution.

About the Speaker:

Suvrat Raju is a theoretical physicist at the International Centre for Theoretical Sciences of the Tata Institute of Fundamental Research. He works on string theory, quantum gravity and quantum field theory. He obtained his PhD in 2008 at Harvard University. His work on quantum aspects of black holes has been recognized by the Swarnajayanti Fellowship (2017), the ICTP Prize (2019), and the Nishina-Asia award (2022).

Marginal triviality of the scaling limits of critical 4D Ising (Lecture 5) by Hugo Duminil-Copin

International Centre for Theoretical Sciences 2023-01-13 | INFOSYS-ICTS RAMANUJAN LECTURES

CRITICAL PHENOMENA THROUGH THE LENS OF THE ISING MODEL

SPEAKER: Hugo Duminil-Copin (Institut des Hautes Études Scientifiques, France & University of Geneva, Switzerland)

DATE: 09 January 2023 to 13 January 2023

VENUE: Ramanujan Lecture Hall

Lecture 1

Date and time: 9 January 2023, 15:30 - 16:30

Title: Critical Phenomena Through the Lens of the Ising Model

Abstract: The Ising model is one of the most classical lattice models of statistical physics undergoing a phase transition. Initially imagined as a model for ferromagnetism, it revealed itself as a very rich mathematical object and a powerful theoretical tool to understand cooperative phenomena. Over one hundred years of its history, a profound understanding of its critical phase has been obtained. While integrability and mean-field behavior led to extraordinary breakthroughs in the two-dimensional and high-dimensional cases respectively, the model in three and four dimensions remained mysterious for years. In this talk, we will present recent progress in these dimensions based on a probabilistic interpretation of the Ising model relating it to percolation models.

Lectures 2-5

Dates and time: 10 & 11 January 2023, 11:15 - 12:05

Dates and time: 12 & 13 January 2023, 10:00 - 10:50

Title: Marginal triviality of the scaling limits of critical 4D Ising

Abstract: We will discuss the scaling limits of spin fluctuations in four-dimensional Ising-type models with nearest-neighbor ferromagnetic interaction at or near the critical point are Gaussian and its implications from the point of view of Euclidean Field Theory. Similar statements will be proven for the λϕ4 fields over R4 with a lattice ultraviolet cutoff, in the limit of infinite volume and vanishing lattice spacing. The proofs are enabled by the models' random current representation, in which the correlation functions' deviation from Wick's law is expressed in terms of intersection probabilities of random currents with sources at distances which are large on the model's lattice scale. Guided by the analogy with random walk intersection amplitudes, the analysis focuses on the improvement of the so-called tree diagram bound by a logarithmic correction term, which is derived here through multi-scale analysis.

About the speaker:
Hugo Duminil-Copin received his PhD from the university of Geneva in 2012. He is permanent professor at the Institut des Hautes Etudes Scientifiques in France and full professor at the university of Geneva.
Hugo Duminil-Copin is a probabilist and a mathematical physicist. He works on statistical mechanics models such as percolation, the Ising model, the Potts model, random walks in random environments, random height functions. Hugo Duminil-Copin’s research has made contributions to percolation theory, a branch of probability theory that is concerned with the behavior of connected clusters in random graphs.His research also has an impact on mathematical physics, complex analysis, and combinatorics. In addition, he makes significant contributions to statistical physics.
Hugo Duminil-Copin received a number of awards, including the Fields medal in 2022.

This lecture series is part of the program "Topics in High Dimensional Probability".

Propagation of Lagrangian States Under random Potentials by Martin Vogel

International Centre for Theoretical Sciences 2023-01-12 | PROGRAM:

TOPICS IN HIGH DIMENSIONAL PROBABILITY

ORGANIZERS: Anirban Basak (ICTS-TIFR, India) and Riddhipratim Basu (ICTS-TIFR, India)

DATE & TIME: 02 January 2023 to 13 January 2023

VENUE: Ramanujan Lecture Hall

This program will focus on several interconnected themes in modern probability theory which can broadly be brought under the umbrella of high dimensional probability. The particular themes that will be considered include (i) random matrices and random operators, (ii) geometric functional analysis and high dimensional convex geometry, (iii) point processes and interacting particle systems, and (iv) spin glasses and Gaussian free fields.

There will be research talks by invited speakers. The program will also feature two mini-courses (each four one hour lectures) by Subhroshekhar Ghosh and Mark Rudelson. An Infosys-ICTS Ramanujan lecture series (five one hour lectures) will be given by Hugo Duminil-Copin and there will be a Distinguished Lecture by Ofer Zeitouni.

ICTS is committed to building an environment that is inclusive, non-discriminatory and welcoming of diverse individuals. We especially encourage the participation of women and other under-represented groups.

CONTACT US: thdp@icts.res.in
PROGRAM LINK: https://www.icts.res.in/program/thdp

Replica Symmetry Breaking, Shattering, and Metastability by Aukosh Jagannath

Complex Stochastic Models and their Applications by Subhroshekhar Ghosh

Marginal triviality of the scaling limits of critical 4D Ising (Lecture 4) by Hugo Duminil-Copin

International Centre for Theoretical Sciences 2023-01-12 | INFOSYS-ICTS RAMANUJAN LECTURES

CRITICAL PHENOMENA THROUGH THE LENS OF THE ISING MODEL

SPEAKER: Hugo Duminil-Copin (Institut des Hautes Études Scientifiques, France & University of Geneva, Switzerland)

DATE: 09 January 2023 to 13 January 2023

VENUE: Ramanujan Lecture Hall

Lecture 1

Date and time: 9 January 2023, 15:30 - 16:30

Title: Critical Phenomena Through the Lens of the Ising Model

Abstract: The Ising model is one of the most classical lattice models of statistical physics undergoing a phase transition. Initially imagined as a model for ferromagnetism, it revealed itself as a very rich mathematical object and a powerful theoretical tool to understand cooperative phenomena. Over one hundred years of its history, a profound understanding of its critical phase has been obtained. While integrability and mean-field behavior led to extraordinary breakthroughs in the two-dimensional and high-dimensional cases respectively, the model in three and four dimensions remained mysterious for years. In this talk, we will present recent progress in these dimensions based on a probabilistic interpretation of the Ising model relating it to percolation models.

Lectures 2-5

Dates and time: 10 & 11 January 2023, 11:15 - 12:05

Dates and time: 12 & 13 January 2023, 10:00 - 10:50

Title: Marginal triviality of the scaling limits of critical 4D Ising

Abstract: We will discuss the scaling limits of spin fluctuations in four-dimensional Ising-type models with nearest-neighbor ferromagnetic interaction at or near the critical point are Gaussian and its implications from the point of view of Euclidean Field Theory. Similar statements will be proven for the λϕ4 fields over R4 with a lattice ultraviolet cutoff, in the limit of infinite volume and vanishing lattice spacing. The proofs are enabled by the models' random current representation, in which the correlation functions' deviation from Wick's law is expressed in terms of intersection probabilities of random currents with sources at distances which are large on the model's lattice scale. Guided by the analogy with random walk intersection amplitudes, the analysis focuses on the improvement of the so-called tree diagram bound by a logarithmic correction term, which is derived here through multi-scale analysis.

About the speaker:
Hugo Duminil-Copin received his PhD from the university of Geneva in 2012. He is permanent professor at the Institut des Hautes Etudes Scientifiques in France and full professor at the university of Geneva.
Hugo Duminil-Copin is a probabilist and a mathematical physicist. He works on statistical mechanics models such as percolation, the Ising model, the Potts model, random walks in random environments, random height functions. Hugo Duminil-Copin’s research has made contributions to percolation theory, a branch of probability theory that is concerned with the behavior of connected clusters in random graphs.His research also has an impact on mathematical physics, complex analysis, and combinatorics. In addition, he makes significant contributions to statistical physics.
Hugo Duminil-Copin received a number of awards, including the Fields medal in 2022.

This lecture series is part of the program "Topics in High Dimensional Probability".

Can We Define Random Close Packing? by Dov Levin

International Centre for Theoretical Sciences 2023-01-11 | DISCUSSION MEETING : STATISTICAL PHYSICS OF COMPLEX SYSTEMS

ORGANIZERS : Sumedha (NISER, India), Abhishek Dhar (ICTS-TIFR, India), Satya Majumdar (University of Paris-Saclay, France), R Rajesh (IMSc, India), Sanjib Sabhapandit (RRI, India) and Tridib Sadhu (TIFR, India)
DATE : 19 December 2022 to 23 December 2022
VENUE : Ramanujan Lecture Hall and Online

This discussion meeting aims to discuss some of the exciting recent developments in equilibrium and nonequilibrium statistical physics. This will include areas such as self-organized criticality, exactly solvable models, interfacial growth, out-of equilibrium dynamics and active matter.

As a part of this discussion meeting, Prof. Deepak Dhar will deliver the Infosys-ICTS Chandrasekhar lectures. There will be a special session to felicitate Deepak Dhar who was awarded the 2022 Boltzmann medal.

ICTS is committed to building an environment that is inclusive, non discriminatory and welcoming of diverse individuals. We especially encourage the participation of women and other under-represented groups.

Eligibility Criteria: Faculty, Postdoctoral fellows and PhD students working in related areas.

CONTACT US: spcs@icts.res.in
PROGRAM LINK: https://www.icts.res.in/discussion-meeting/spcs2022

Anomalous Collective Diffusion of Interacting Self-propelled Particles by Punyabrata Pradhan

Large Deviations of the Largest Eigenvalue of Supercritical Sparse Wigner Matrices by Fanny Augeri

International Centre for Theoretical Sciences 2023-01-11 | PROGRAM:

TOPICS IN HIGH DIMENSIONAL PROBABILITY

ORGANIZERS: Anirban Basak (ICTS-TIFR, India) and Riddhipratim Basu (ICTS-TIFR, India)

DATE & TIME: 02 January 2023 to 13 January 2023

VENUE: Ramanujan Lecture Hall

This program will focus on several interconnected themes in modern probability theory which can broadly be brought under the umbrella of high dimensional probability. The particular themes that will be considered include (i) random matrices and random operators, (ii) geometric functional analysis and high dimensional convex geometry, (iii) point processes and interacting particle systems, and (iv) spin glasses and Gaussian free fields.

There will be research talks by invited speakers. The program will also feature two mini-courses (each four one hour lectures) by Subhroshekhar Ghosh and Mark Rudelson. An Infosys-ICTS Ramanujan lecture series (five one hour lectures) will be given by Hugo Duminil-Copin and there will be a Distinguished Lecture by Ofer Zeitouni.

ICTS is committed to building an environment that is inclusive, non-discriminatory and welcoming of diverse individuals. We especially encourage the participation of women and other under-represented groups.

CONTACT US: thdp@icts.res.in
PROGRAM LINK: https://www.icts.res.in/program/thdp

Spectral Large Deviations for Sparse Random Matrices by Kyeongsik Nam

Complex Stochastic Models and their Applications by Subhroshekhar Ghosh

Marginal triviality of the scaling limits of critical 4D Ising (Lecture 3) by Hugo Duminil-Copin

International Centre for Theoretical Sciences 2023-01-11 | INFOSYS-ICTS RAMANUJAN LECTURES

CRITICAL PHENOMENA THROUGH THE LENS OF THE ISING MODEL

SPEAKER: Hugo Duminil-Copin (Institut des Hautes Études Scientifiques, France & University of Geneva, Switzerland)

DATE: 09 January 2023 to 13 January 2023

VENUE: Ramanujan Lecture Hall

Lecture 1

Date and time: 9 January 2023, 15:30 - 16:30

Title: Critical Phenomena Through the Lens of the Ising Model

Abstract: The Ising model is one of the most classical lattice models of statistical physics undergoing a phase transition. Initially imagined as a model for ferromagnetism, it revealed itself as a very rich mathematical object and a powerful theoretical tool to understand cooperative phenomena. Over one hundred years of its history, a profound understanding of its critical phase has been obtained. While integrability and mean-field behavior led to extraordinary breakthroughs in the two-dimensional and high-dimensional cases respectively, the model in three and four dimensions remained mysterious for years. In this talk, we will present recent progress in these dimensions based on a probabilistic interpretation of the Ising model relating it to percolation models.

Lectures 2-5

Dates and time: 10 & 11 January 2023, 11:15 - 12:05

Dates and time: 12 & 13 January 2023, 10:00 - 10:50

Title: Marginal triviality of the scaling limits of critical 4D Ising

Abstract: We will discuss the scaling limits of spin fluctuations in four-dimensional Ising-type models with nearest-neighbor ferromagnetic interaction at or near the critical point are Gaussian and its implications from the point of view of Euclidean Field Theory. Similar statements will be proven for the λϕ4 fields over R4 with a lattice ultraviolet cutoff, in the limit of infinite volume and vanishing lattice spacing. The proofs are enabled by the models' random current representation, in which the correlation functions' deviation from Wick's law is expressed in terms of intersection probabilities of random currents with sources at distances which are large on the model's lattice scale. Guided by the analogy with random walk intersection amplitudes, the analysis focuses on the improvement of the so-called tree diagram bound by a logarithmic correction term, which is derived here through multi-scale analysis.

About the speaker:
Hugo Duminil-Copin received his PhD from the university of Geneva in 2012. He is permanent professor at the Institut des Hautes Etudes Scientifiques in France and full professor at the university of Geneva.
Hugo Duminil-Copin is a probabilist and a mathematical physicist. He works on statistical mechanics models such as percolation, the Ising model, the Potts model, random walks in random environments, random height functions. Hugo Duminil-Copin’s research has made contributions to percolation theory, a branch of probability theory that is concerned with the behavior of connected clusters in random graphs.His research also has an impact on mathematical physics, complex analysis, and combinatorics. In addition, he makes significant contributions to statistical physics.
Hugo Duminil-Copin received a number of awards, including the Fields medal in 2022.

This lecture series is part of the program "Topics in High Dimensional Probability".

Hidden Order: Hyperuniformity and Rigidity by Joel Lebowitz

Gallai-Edmonds Percolation by Kedar Damle

Many Nodal Domains in Random Regular Graphs by Nikhil Srivastava