Coxeter Groups are Biautomatic (Lecture 2) by Piotr Przytycki & Damian Osajda @ICTStalks

International Centre for Theoretical Sciences | Coxeter Groups are Biautomatic (Lecture 2) by Piotr Przytycki & Damian Osajda @ICTStalks | Uploaded August 2024 | Updated October 2024, 18 hours ago.
Program: Geometry in Groups

ORGANIZERS: Radhika Gupta (TIFR Mumbai, India) and Suraj Krishna M S (Technion-IIT, Israel)

DATE & TIME: 29 July 2024 to 09 August 2024

VENUE: Ramanujan Lecture Hall, ICTS

The area of geometric group theory (GGT) has seen explosive growth in recent times, thanks to a series of important breakthroughs and its connections to diverse areas like geometry, topology, dynamics, analysis, and probability.

This collaborative workshop has two aims: 1) to increase exposure to active areas in geometric group theory for mathematicians in India, and
2) strengthening the existing research network.

The first week consists of minicourses by eminent researchers known for their exposition, while the second week will follow a “research in groups” format with each group being led by a minicourse speaker.

Minicourse speakers:

Indira Chatterji (Université Côte d'Azur à Nice) - Property(T), median spaces and CAT(0) cubical complexes
Inhyeok Choi (KIAS) - Growth of (sub)groups with hyperbolicity
François Dahmani (Université Grenoble Alpes) & Nicholas Touikan (University of New Brunswick) - Automorphisms of free groups of small rank, and their outer conjugacy classes
Piotr Przytycki (McGill University) & Damian Osajda (University of Copenhagen) - Coxeter groups are biautomatic
Genevieve Walsh (Tufts University) - Examples of infinite groups, their ℓ2-homology and boundaries
Research talks:

Vaibhav Gadre (University of Glasgow)
Pritam Ghosh (Ashoka University)
Sourav Ghosh (Ashoka University)
Kuwari Mahanta (IIT Guwahati)
Biswajit Nag (Tata Institute of Fundamental Research)
Bratati Som (University of Buffalo)

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
ggtgig@icts.res.in

PROGRAM LINK
icts.res.in/program/gig2024

Growth of (sub)groups with hyperbolicity (lecture - 2) by Inhyeok Choi

$Non-unique Ergodicity for 3D Navier-Stokes and Euler Equations by Rongchan Zhu Program : Deterministic and Stochastic Analysis of Euler and Navier-Stokes Equations ORGANIZERS : Ujjwal Koley (TIFR-CAM Bengaluru, India) and Debayan Maity (TIFR-CAM Bengaluru, India) DATE : 23 September 2024 to 04 October 2024 VENUE : Ramanujan Lecture Hall, ICTS Bengaluru All physical phenomena in areas such as physics, engineering, finance, and biology are inherently nonlinear and therefore described via models of nonlinear partial differential equations (PDEs). The Navier-Stokes and the Euler equations are thought to be the fundamental set of equations governing the motion of fluid flow. Recently, the research area related to fluid flow equations has witnessed multiple seminal new results and groundbreaking techniques. The main aim of the program is to bring in leading researchers from the field of fluid mechanics for an active discussion on these new techniques and exchange of ideas. In his celebrated 1949 paper on statistical hydrodynamics Lars Onsager conjectured that the threshold regularity for the validity of energy conservation of weak solutions to Euler equations is the exponent 1/3. In particular he announced that for larger Hölder exponents any weak solution would conserve the energy, whereas for any smaller exponent there are solutions which do not conserve energy. The first proof of the later part of Onsager conjecture in a Hölder space was given by De Lellis and Szekelyhidi Jr. On the other hand, the existence of infinitely many weak solutions of the Navier-Stokes equations was provided by Buckmaster and Vicol. Furthermore, these techniques were extended by several authors to produce results for stochastic fluid flow equations. Some of the important topics we wish to cover in this workshop includes full resolution of Onsager conjecture, intermittent construction for Navier-Stokes equations, H^{1/2} weak solutions of the incompressible 3D Euler equations, and stochastic convex integration method. Eligibility criteria: PhD students, postdocs, and faculty members are all eligible to apply. Researchers working on the mathematical aspects of fluid flow equations will be given preference. Accommodation will be provided for outstation participants at our on campus guest house. 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: dsen@icts.res.in PROGRAM LINK: https://www.icts.res.in/program/dsen$ $Regularization by Noise (Lecture-1) by Mario Maurelli Program : Deterministic and Stochastic Analysis of Euler and Navier-Stokes Equations ORGANIZERS : Ujjwal Koley (TIFR-CAM Bengaluru, India) and Debayan Maity (TIFR-CAM Bengaluru, India) DATE : 23 September 2024 to 04 October 2024 VENUE : Ramanujan Lecture Hall, ICTS Bengaluru All physical phenomena in areas such as physics, engineering, finance, and biology are inherently nonlinear and therefore described via models of nonlinear partial differential equations (PDEs). The Navier-Stokes and the Euler equations are thought to be the fundamental set of equations governing the motion of fluid flow. Recently, the research area related to fluid flow equations has witnessed multiple seminal new results and groundbreaking techniques. The main aim of the program is to bring in leading researchers from the field of fluid mechanics for an active discussion on these new techniques and exchange of ideas. In his celebrated 1949 paper on statistical hydrodynamics Lars Onsager conjectured that the threshold regularity for the validity of energy conservation of weak solutions to Euler equations is the exponent 1/3. In particular he announced that for larger Hölder exponents any weak solution would conserve the energy, whereas for any smaller exponent there are solutions which do not conserve energy. The first proof of the later part of Onsager conjecture in a Hölder space was given by De Lellis and Szekelyhidi Jr. On the other hand, the existence of infinitely many weak solutions of the Navier-Stokes equations was provided by Buckmaster and Vicol. Furthermore, these techniques were extended by several authors to produce results for stochastic fluid flow equations. Some of the important topics we wish to cover in this workshop includes full resolution of Onsager conjecture, intermittent construction for Navier-Stokes equations, H^{1/2} weak solutions of the incompressible 3D Euler equations, and stochastic convex integration method. Eligibility criteria: PhD students, postdocs, and faculty members are all eligible to apply. Researchers working on the mathematical aspects of fluid flow equations will be given preference. Accommodation will be provided for outstation participants at our on campus guest house. 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: dsen@icts.res.in PROGRAM LINK: https://www.icts.res.in/program/dsen$

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