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This program aims to address various aspects of integrability and its role in the advancement of Mathematics, Mathematical Physics, Condensed Matter Physics and Statistical Mechanics. The scope of the proposed program is therefore highly interdisciplinary, being aimed at mathematicians and physicists who are working on different aspects of integrability. The purpose is to bring together experienced as well as young scientists, graduate students and postdoctoral fellows who are working on various aspect of quantum as well as classical systems in which integrability plays a paramount role.Dates:July 16 - July 27 (First Division: Integrable systems in Mathematics and Mathematical Physics)July 30 - Aug 10 (Second Division: Integrable systems in Condensed Matter / Statistical Physics)The above two divisions are only made just as a broad reference for gathering like-minded mathematicians and physicists. But, we aim to strongly encourage cross-disciplinary discussions throughout the 4 week pr...

The power of symmetries lies at the heart of interaction between modern mathematics and theoretical physics. A classic instance of such an interaction is the parallel development of Quantum Mechanics and that of the theory of finite dimensional representations of complex semi-simple lie algebras in the early 20th century. Natural questions arising from physics served as motivation for the development of the mathematical theory.  The initiation of the theory of infinite dimensional representations of non-compact groups was also motivated by the need to understand the Representation Theory of the Poincare Group, the symmetry group of Special Relativity.Quantum Theory and Representation Theory have since flourished independently but have continued to benefit from a cross fertilization of ideas. In recent years, there has been renewed interest in this interaction centered especially around various Supersymmetric Quantum Field Theories and Geometric aspects of Representation Theory. These t...

This program aims to address various aspects of integrability and its role in the advancement of Mathematics, Mathematical Physics, Condensed Matter Physics and Statistical Mechanics. The scope of the proposed program is therefore highly interdisciplinary, being aimed at mathematicians and physicists who are working on different aspects of integrability. The purpose is to bring together experienced as well as young scientists, graduate students and postdoctoral fellows who are working on various aspect of quantum as well as classical systems in which integrability plays a paramount role.Dates:July 16 - July 27 (First Division: Integrable systems in Mathematics and Mathematical Physics)July 30 - Aug 10 (Second Division: Integrable systems in Condensed Matter / Statistical Physics)The above two divisions are only made just as a broad reference for gathering like-minded mathematicians and physicists. But, we aim to strongly encourage cross-disciplinary discussions throughout the 4 week pr...

The power of symmetries lies at the heart of interaction between modern mathematics and theoretical physics. A classic instance of such an interaction is the parallel development of Quantum Mechanics and that of the theory of finite dimensional representations of complex semi-simple lie algebras in the early 20th century. Natural questions arising from physics served as motivation for the development of the mathematical theory.  The initiation of the theory of infinite dimensional representations of non-compact groups was also motivated by the need to understand the Representation Theory of the Poincare Group, the symmetry group of Special Relativity.Quantum Theory and Representation Theory have since flourished independently but have continued to benefit from a cross fertilization of ideas. In recent years, there has been renewed interest in this interaction centered especially around various Supersymmetric Quantum Field Theories and Geometric aspects of Representation Theory. These t...

This advanced level school is the ninth in the series. This is a pedagogical school, aimed at bridging the gap between masters-level courses and topics in statistical physics at the frontline of current research. It is intended for Ph.D. students, post-doctoral fellows and interested faculty members at the college and university level. The following courses will be offered.​Preparatory​ lecturers by Abhishek​ Dhar​ ​(ICTS) and​ Sanjib​ Sabhapandit (RRI)Stochastic​ density​ functional​ theory​ for​ interacting​ Brownian​ particles by David​ ​Dean​ (Bordeaux,​ France)Mechanics​ of​ wrinkling,​ folding,​ and​ crumpling by Narayanan​ ​Menon​ (UMASS,​ USA)Network Dynamics by Sandeep Krishna (NCBS) and Shashi Thutupalli (NCBS-ICTS)Quantum​ computation by Peter​ ​Young​ (UCSC,​ USA)Quantum​ chaos,​ random​ matrices​ and​ statistical​ physics by Arul​ ​Lakshminarayan​ (IIT​ Madras,​ Chennai)Interacting​ particle​ systems by Anupam​​ Kundu​ (ICTS,​ Bangalore) Registration opens on 15 November 2...

This advanced level school is the ninth in the series. This is a pedagogical school, aimed at bridging the gap between masters-level courses and topics in statistical physics at the frontline of current research. It is intended for Ph.D. students, post-doctoral fellows and interested faculty members at the college and university level. The following courses will be offered.​Preparatory​ lecturers by Abhishek​ Dhar​ ​(ICTS) and​ Sanjib​ Sabhapandit (RRI)Stochastic​ density​ functional​ theory​ for​ interacting​ Brownian​ particles by David​ ​Dean​ (Bordeaux,​ France)Mechanics​ of​ wrinkling,​ folding,​ and​ crumpling by Narayanan​ ​Menon​ (UMASS,​ USA)Network Dynamics by Sandeep Krishna (NCBS) and Shashi Thutupalli (NCBS-ICTS)Quantum​ computation by Peter​ ​Young​ (UCSC,​ USA)Quantum​ chaos,​ random​ matrices​ and​ statistical​ physics by Arul​ ​Lakshminarayan​ (IIT​ Madras,​ Chennai)Interacting​ particle​ systems by Anupam​​ Kundu​ (ICTS,​ Bangalore) Registration opens on 15 November 2...

This Summer Program on Dynamics of Complex Systems is the third in the series. The theme for the program this year is non-smooth dynamical systems and complex networks.The study of bifurcations, i.e., qualitative change in the behavior of a dynamical system as a set of parameters of the system is varied, is an important and well-studied area of research for such systems.  A large fraction of the dynamical systems theory is devoted to the study of smooth (continuously differentiable) dynamical systems. However, there are also systems encountered commonly in science and engineering, where a dynamical system is given by two or more different sets of differential equations, each defined for a compartment of the phase space. As the state moves from one compartment to another, the equations defining the evolution change. Examples of such systems, where continuous-time evolution is punctuated by discrete switching events, are:Power Electronic CircuitsSystems involving relaysMechanical systems...

This workshop on geometry and topology for lecturers is aimed for participants who are lecturers in universities/institutes and colleges in India. This will enable lecturers from institutions all over India to get acquainted with various areas of geometry and topology which are active fields of research.Topics will include: Geometry and Topology of surfaces; Hyperbolic geometry and moduli spaces of Riemann surfaces; Minimal surfaces, maximal surfaces and solitons; Fundamental Groupoid.The workshop will have 4 pedagogical lecture series. There will also be discussion sessions aimed at promoting research and collaborations amongst the participants. The lecturer-participants themselves will also have a chance to present papers (which could be their own too in the area). In addition, there will be small projects which may later on develop into research projects.   

This Summer Program on Dynamics of Complex Systems is the third in the series. The theme for the program this year is non-smooth dynamical systems and complex networks.The study of bifurcations, i.e., qualitative change in the behavior of a dynamical system as a set of parameters of the system is varied, is an important and well-studied area of research for such systems.  A large fraction of the dynamical systems theory is devoted to the study of smooth (continuously differentiable) dynamical systems. However, there are also systems encountered commonly in science and engineering, where a dynamical system is given by two or more different sets of differential equations, each defined for a compartment of the phase space. As the state moves from one compartment to another, the equations defining the evolution change. Examples of such systems, where continuous-time evolution is punctuated by discrete switching events, are:Power Electronic CircuitsSystems involving relaysMechanical systems...

This workshop on geometry and topology for lecturers is aimed for participants who are lecturers in universities/institutes and colleges in India. This will enable lecturers from institutions all over India to get acquainted with various areas of geometry and topology which are active fields of research.Topics will include: Geometry and Topology of surfaces; Hyperbolic geometry and moduli spaces of Riemann surfaces; Minimal surfaces, maximal surfaces and solitons; Fundamental Groupoid.The workshop will have 4 pedagogical lecture series. There will also be discussion sessions aimed at promoting research and collaborations amongst the participants. The lecturer-participants themselves will also have a chance to present papers (which could be their own too in the area). In addition, there will be small projects which may later on develop into research projects.   

Non-Hermitian Physics-"Pseudo-Hermitian Hamiltonians in Quantum Physics (PHHQP) XVIII" is the 18th meeting in the series that is being held over the years in Quantum Physics.The scope of the program on Non-Hermitian Physics is highly interdisciplinary, being aimed at mathematicians, theoretical physicists as well as experimental physicists who are working on different aspects of non-Hermitian physics. The purpose is to bring together experienced as well as young scientists, graduate students and postdoctoral fellows who are working actively and/or interested in working on various aspect of quantum as well as classical physics in which non-Hermitian phenomena play important roles.Broad topics that will be included (but not restricted to) under the umbrella of non-Hermitian systems in this program are: Non-Hermitian / Pseudo-Hermitian quantum theories Open quantum systems (recent theoretical developments, state-of-the-art numerical advances and experimental progress) Applications in Opti...

Non-Hermitian Physics-"Pseudo-Hermitian Hamiltonians in Quantum Physics (PHHQP) XVIII" is the 18th meeting in the series that is being held over the years in Quantum Physics.The scope of the program on Non-Hermitian Physics is highly interdisciplinary, being aimed at mathematicians, theoretical physicists as well as experimental physicists who are working on different aspects of non-Hermitian physics. The purpose is to bring together experienced as well as young scientists, graduate students and postdoctoral fellows who are working actively and/or interested in working on various aspect of quantum as well as classical physics in which non-Hermitian phenomena play important roles.Broad topics that will be included (but not restricted to) under the umbrella of non-Hermitian systems in this program are: Non-Hermitian / Pseudo-Hermitian quantum theories Open quantum systems (recent theoretical developments, state-of-the-art numerical advances and experimental progress) Applications in Opti...