Tutorial Session 1 by Oskar Vafek @ICTStalks

International Centre for Theoretical Sciences | Tutorial Session 1 by Oskar Vafek @ICTStalks | Uploaded August 2024 | Updated October 2024, 18 hours ago.
PROGRAM: ENGINEERED 2D QUANTUM MATERIALS

ORGANIZERS: Arindam Ghosh (IISc, Bengaluru, India), Priya Mahadevan (SNBNCBS, India), Srimanta Middey (IISc, Bengaluru, India), Arun Paramekanti (University of Toronto, Canada) and Chandni U (IISc, Bengaluru, India)

DATE & TIME: 15 July 2024 to 26 July 2024

VENUE: Ramanujan Lecture Hall

This meeting will focus on recent developments exploring emergent electronic, magnetic, and topological phenomena in two-dimensional synthetic structures of quantum materials. The strong interplay between electronic correlations, spin orbit coupling, crystal structure, symmetry, and topology often leads to various collective phenomena in bulk crystals. With reduced dimensionality, the frustrated coupling across 2D interfaces or enhanced interlayer interactions between different quantum materials can lead to new electronic band structures (e.g., flat bands) and to host emergent behaviour which are unattainable otherwise in the constituent bulk systems.

This workshop will bring together physicists and materials scientists interested in artificially engineered heterostructures including oxide interfaces, oxide heterostructures, twisted van der Waals materials, twisted cuprates, and other novel moire or layered materials. The participants will have complementary experimental and theoretical expertise, including materials growth, novel spectroscopies, transport studies, microscopy, scattering, pump-probe techniques, device physics, density functional theory, dynamical mean field theory (DMFT), density matrix renormalization group (DMRG), and quantum field theory.

The following topics will be covered:
1. Magnetism and Topological superconductivity in vdW materials
2. Flat bands and band topology in twisted vdW heterostructures
3. Correlated phenomena in twisted vdW heterostructures
4. Twisted cuprate superconductors and twisted magnetic materials
5. Kondo lattice and heavy fermion physics in heterostructures
6. Skyrmions and topological magnetic textures at complex oxide interfaces
7. Superconductivity at oxide interfaces and films (nickelates, KTaO3, etc)
8. 2D ferroelectrics and quantum paraelectrics
9. Quantum simulators using engineered 2D materials

The meeting will also have tutorial sessions by theorists and experimentalists covering the broad areas mentioned above, for graduate students and postdocs.

Partially supported by Laser Science and Oxford Instruments.

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
e2qm@icts.res.in

PROGRAM LINK
icts.res.in/program/e2qm

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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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