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This is an annual discussion meeting of the Indian statistical physics community attended by scientists, postdoctoral fellows and graduate students, from across the country, working in the broad area of statistical physics.This meeting will be the 7th in the series and will cover all the 8 topics covered at STATPHYS meetings, namely -General and mathematical aspects rigorous results, exact solutions, probability theory, stochastic field theory, phase transitions and critical phenomena at equilibrium, information theory, optimization, etc.  Out-of-equilibrium aspects driven systems, transport theory, relaxation and response dynamics, random processes, anomalous diffusion, fluctuation theorems, large deviations, out-of-equilibrium phase transitions, etc.  Quantum fluids and condensed matter strongly correlated electrons, cold atoms, graphene, mesoscopic quantum phenomena, fractional quantum Hall effect, low dimensional quantum field theory, quantum phase transitions, quantum information,...

Background:At its core, much of mathematics is concerned with the problem of classifying mathematical structures. Often, one cannot solve the classification problem by simply listing mathematical structures of a given type, as there are continuously varying parameters that enter into the description of the mathematical structures involved. In such cases, the space over which the parameters vary can often be constituted into a ‘geometrical structure’ called a moduli space for the classification problem at hand. On the one hand, understanding the ‘shape’ of this moduli space is tantamount to ‘solving’ the original classification problem, while on the other hand, moduli spaces provide a rich source of examples of interesting geometrical structures whose study is of intrinsic interest.In geometry and topology, vector bundles – families of vector spaces that are parametrized by a space – play a central role. The study of moduli spaces of vector bundles, and closely related structures such a...

Background:At its core, much of mathematics is concerned with the problem of classifying mathematical structures. Often, one cannot solve the classification problem by simply listing mathematical structures of a given type, as there are continuously varying parameters that enter into the description of the mathematical structures involved. In such cases, the space over which the parameters vary can often be constituted into a ‘geometrical structure’ called a moduli space for the classification problem at hand. On the one hand, understanding the ‘shape’ of this moduli space is tantamount to ‘solving’ the original classification problem, while on the other hand, moduli spaces provide a rich source of examples of interesting geometrical structures whose study is of intrinsic interest.In geometry and topology, vector bundles – families of vector spaces that are parametrized by a space – play a central role. The study of moduli spaces of vector bundles, and closely related structures such a...

No living organism escapes evolutionary change, and evolutionary biology thus connects all biological disciplines. To understand the processes driving evolution, we need a theoretical framework to predict and test evolutionary changes in populations. Population genetic theory provides this basic framework, integrating mathematical and statistical concepts with fundamental biological principles of genetic inheritance, selection, mutation, migration and random genetic drift. Population genetic models allow us to make quantitative predictions that can inform an experimentalist while designing new experiments, and give us a deeper understanding of how evolution works. This School will cover topics such as rapid microbial adaptation, robustness and evolvability, evolution of complex traits, maternal inheritance, and evolution of genetic systems. For each topic, lectures will begin with basic concepts and end with recent advances in the field. A series of research seminars will also introduc...

Birational geometry is one of the current research trends in fields of Algebraic Geometry and Analytic Geometry. It came into prominence during mid-1980s, and has since seen a rise in research. The proposed lectures are on two topics of birational geometry.Speaker : Yohan BrunebarbeTitle : Hyperbolicity and Fundamental groups.Abstract : The course will focus on the interplay between the linear representations of the fundamental groups; the holomorphic (pluri) differentials and hyperbolicity of complex projective manifolds. It will also introduce the necessary tools and techniques of variational and mixed Hodge theories, to help prove that a local system of geometric origin on a 'special' manifold has a virtually abelian monodromy. The course will also explore on using non-abelian Hodge theory and harmonic maps to treat the general case.Speaker : Frederic CampanaTitle : Birational Geometry and Orbifold Pairs : Arithmetic and hyperbolic aspects.Abstract : Birational geometry aims at dedu...

No living organism escapes evolutionary change, and evolutionary biology thus connects all biological disciplines. To understand the processes driving evolution, we need a theoretical framework to predict and test evolutionary changes in populations. Population genetic theory provides this basic framework, integrating mathematical and statistical concepts with fundamental biological principles of genetic inheritance, selection, mutation, migration and random genetic drift. Population genetic models allow us to make quantitative predictions that can inform an experimentalist while designing new experiments, and give us a deeper understanding of how evolution works. This School will cover topics such as rapid microbial adaptation, robustness and evolvability, evolution of complex traits, maternal inheritance, and evolution of genetic systems. For each topic, lectures will begin with basic concepts and end with recent advances in the field. A series of research seminars will also introduc...

Birational geometry is one of the current research trends in fields of Algebraic Geometry and Analytic Geometry. It came into prominence during mid-1980s, and has since seen a rise in research. The proposed lectures are on two topics of birational geometry.Speaker : Yohan BrunebarbeTitle : Hyperbolicity and Fundamental groups.Abstract : The course will focus on the interplay between the linear representations of the fundamental groups; the holomorphic (pluri) differentials and hyperbolicity of complex projective manifolds. It will also introduce the necessary tools and techniques of variational and mixed Hodge theories, to help prove that a local system of geometric origin on a 'special' manifold has a virtually abelian monodromy. The course will also explore on using non-abelian Hodge theory and harmonic maps to treat the general case.Speaker : Frederic CampanaTitle : Birational Geometry and Orbifold Pairs : Arithmetic and hyperbolic aspects.Abstract : Birational geometry aims at dedu...

This is a joint ICTS-RRI Discussion Meeting on the geometric phase and its applications in optics and condensed matter. There has been much interest from the Indian scientific community on the topic of geometric phase. Since the early days, this topic has had diverse applications in condensed matter physics and optics. The subject has broad appeal and brings the higher mathematics of differential geometry and topology to concrete experimental predictions. World wide interest in the geometric phase was sparked by a paper in 1984 by Michael Berry, who has had long standing links with India and Indian Science. The subsequent realisation that S. Pancharatnam had anticipated the geometric phase in the context of polarisation optics, was another trigger.There have since been several advances in the application of geometric and topological phases in the areas of optics and condensed matter. In fact, research in the area of condensed matter has also influenced topological quantum computation. ...

This is a joint ICTS-RRI Discussion Meeting on the geometric phase and its applications in optics and condensed matter. There has been much interest from the Indian scientific community on the topic of geometric phase. Since the early days, this topic has had diverse applications in condensed matter physics and optics. The subject has broad appeal and brings the higher mathematics of differential geometry and topology to concrete experimental predictions. World wide interest in the geometric phase was sparked by a paper in 1984 by Michael Berry, who has had long standing links with India and Indian Science. The subsequent realisation that S. Pancharatnam had anticipated the geometric phase in the context of polarisation optics, was another trigger.There have since been several advances in the application of geometric and topological phases in the areas of optics and condensed matter. In fact, research in the area of condensed matter has also influenced topological quantum computation. ...