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How do isolated quantum systems thermalize? This is a fundamental question that is related to the foundations of quantum statistical mechanics and also to the question of the arrow of time. The first study goes back to John von Neumann in 1929. Recently, this question was revived, fuelled by several new concepts in theory along with many relevant experiments. This question is now shared by many fields such as statistical physics, mathematical physics, quantum information and cold atomic systems, and the studies around this question have become interdisciplinary. In the broad context of this basic fundamental question, three closely related areas of  research have emerged.ThermalizationMany Body Localization (MBL)Hydrodynamical description of many body systemsThis three-week program aims to bring together researchers working in these areas to discuss recent progress in the field, and hopes to lead to collaborative efforts towards solution of some of the outstanding problems. Apart from ...

How do isolated quantum systems thermalize? This is a fundamental question that is related to the foundations of quantum statistical mechanics and also to the question of the arrow of time. The first study goes back to John von Neumann in 1929. Recently, this question was revived, fuelled by several new concepts in theory along with many relevant experiments. This question is now shared by many fields such as statistical physics, mathematical physics, quantum information and cold atomic systems, and the studies around this question have become interdisciplinary. In the broad context of this basic fundamental question, three closely related areas of  research have emerged.ThermalizationMany Body Localization (MBL)Hydrodynamical description of many body systemsThis three-week program aims to bring together researchers working in these areas to discuss recent progress in the field, and hopes to lead to collaborative efforts towards solution of some of the outstanding problems. Apart from ...

Sphere packing is a centuries-old problem in geometry, with many connections to other branches of mathematics (number theory, communication theory, Lie theory, optimization) as well as, physics, material science and chemistry. In the recent years, there have been some remarkable advances in higher-dimensional sphere packing and the associated physics question of energy minimization, coming from methods of modular forms and optimization. Sphere packing continues to be an active area of research, with a long list of interesting and accessible questions.  The goal of this meeting is to introduce the subject to a diverse group of mathematicians, and to updated them on the new developments and research problems faced in this area of research.A series of lectures will address the different facets of sphere packing and questions associated with it. It will also highlight, new techniques and open-up the challenges and problems that one can come across. A total of ten lectures will be held over...

Sphere packing is a centuries-old problem in geometry, with many connections to other branches of mathematics (number theory, communication theory, Lie theory, optimization) as well as, physics, material science and chemistry. In the recent years, there have been some remarkable advances in higher-dimensional sphere packing and the associated physics question of energy minimization, coming from methods of modular forms and optimization. Sphere packing continues to be an active area of research, with a long list of interesting and accessible questions.  The goal of this meeting is to introduce the subject to a diverse group of mathematicians, and to updated them on the new developments and research problems faced in this area of research.A series of lectures will address the different facets of sphere packing and questions associated with it. It will also highlight, new techniques and open-up the challenges and problems that one can come across. A total of ten lectures will be held over...

With the era of gravitational wave astronomy started and a rapid increase in sensitivity and frequency bands, unprecedented opportunities to unravel long-standing questions as well as new opportunities open up. This workshop will focus on discussing out-of-the-box ideas for this exciting field.

Determining explicit algebraic structures of semisimple group algebras is a fundamental problem, which has played a central role in the development of representation theory of finite groups. The tools of representation theory of finite groups extend in various ways to profinite groups such as compact linear groups over ring of integers of a local field (for example GL_n(Z_p)). However the continuous representations or even representation growth of profinite groups is not well understood and is one of the current exciting areas of research. The importance of computational methods in all pursuits of pure mathematics is no more obscure, and the subject has established itself as a powerful tool, aiding quick maturing of intuition about concrete mathematical structures. The focus of this program is on theoretical aspects of group algebras and representation theory of finite and profinite groups complemented by computational techniques using discrete algebra system GAP.The first part of this...

Determining explicit algebraic structures of semisimple group algebras is a fundamental problem, which has played a central role in the development of representation theory of finite groups. The tools of representation theory of finite groups extend in various ways to profinite groups such as compact linear groups over ring of integers of a local field (for example GL_n(Z_p)). However the continuous representations or even representation growth of profinite groups is not well understood and is one of the current exciting areas of research. The importance of computational methods in all pursuits of pure mathematics is no more obscure, and the subject has established itself as a powerful tool, aiding quick maturing of intuition about concrete mathematical structures. The focus of this program is on theoretical aspects of group algebras and representation theory of finite and profinite groups complemented by computational techniques using discrete algebra system GAP.The first part of this...