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M. S. Narasimhan (1932-2021) and C. S. Seshadri (1932-2020) were doyens of Indian Science who placed Tata Institute of Fundamental Research (TIFR) on the mathematical map of the world in the early days of independent India. Together with their students, they played an important role in the establishing and maintaining of various institutions to support mathematical research in India.Their work in studying moduli of vector and principal bundles was pioneering and has played a foundational role in the modern development of algebraic geometry. Their subsequent works touched upon a wide variety of subjects at the intersection of geometry and representation theory. In many cases, their work also had deep connections to theoretical physics through, for example, the mathematics of gauge theories, conformal field theories and string theory.This special event, which is a part of the Quantum Fields, Geometry and Representation Theory 2021 program, is held to honor and celebrate their work. A dis...

The broad theme of this meeting will be the intersection of quantum field theory and geometric representation theory. In this way, we hope to build on and consolidate the successes of the previous meeting in our attempt to foster synergistic interactions between the mathematics and physics communities in India and across the world.The focus areas for this meeting will be:The Local and Global Geometric Langlands program in its various forms and extensions thereof. This includes purely mathematical approaches and also physics inspired approaches based on Gauge theory and two dimensional Conformal Field Theory.Recent advances in studying theories with eight supercharges in four and three dimensions.  This includes detailed constructions of their vacuum moduli spaces, chiral ring structure, the study of dualities, exact results, connections to TQFTs, chiral algebras etc.The meeting will consist of several mini-courses and research talks. The talks will be spread over two time windows to en...

This school is part of the annual ICTS summer schools on gravitational-wave (GW) astronomy. This year’s summer school will focus on the stochastic GW background from the early universe as well as produced by astrophysical sources. Due to the ongoing COVID pandemic, the school will be held online. CoursesStochastic GW background from the early universe  (Shi Pi, Chinese Academy of Sciences & Kavli IPMU, Japan)Stochastic astrophysical foreground from compact binary mergers (Vuc Mandic, University of Minnesota, USA)The school is primarily meant for graduate students and postdocs in gravitational physics and related fields. A small number of highly motivated senior undergraduates can also be considered. A basic understanding of general relativity and cosmology is a prerequisite for the courses. 

The broad theme of this meeting will be the intersection of quantum field theory and geometric representation theory. In this way, we hope to build on and consolidate the successes of the previous meeting in our attempt to foster synergistic interactions between the mathematics and physics communities in India and across the world.The focus areas for this meeting will be:The Local and Global Geometric Langlands program in its various forms and extensions thereof. This includes purely mathematical approaches and also physics inspired approaches based on Gauge theory and two dimensional Conformal Field Theory.Recent advances in studying theories with eight supercharges in four and three dimensions.  This includes detailed constructions of their vacuum moduli spaces, chiral ring structure, the study of dualities, exact results, connections to TQFTs, chiral algebras etc.The meeting will consist of several mini-courses and research talks. The talks will be spread over two time windows to en...

This school is part of the annual ICTS summer schools on gravitational-wave (GW) astronomy. This year’s summer school will focus on the stochastic GW background from the early universe as well as produced by astrophysical sources. Due to the ongoing COVID pandemic, the school will be held online. CoursesStochastic GW background from the early universe  (Shi Pi, Chinese Academy of Sciences & Kavli IPMU, Japan)Stochastic astrophysical foreground from compact binary mergers (Vuc Mandic, University of Minnesota, USA)The school is primarily meant for graduate students and postdocs in gravitational physics and related fields. A small number of highly motivated senior undergraduates can also be considered. A basic understanding of general relativity and cosmology is a prerequisite for the courses. 

Due to the ongoing COVID-19 pandemic,  the school will be conducted through online lectures.This advanced level school is the twelfth 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. The following courses will be offered.Introduction to Statistical field theories of athermal systems by Bulbul Chakrabarty (Brandeis University, US)Out of equilibrium dynamics of complex systems by Leticia Cugliandolo (Sorbonne University, France)Introduction to open quantum systems by Manas Kulkarni (ICTS, Bangalore)Dyson Brownian motion, free fermions and connections to Random Matrix Theory by Gregory Schehr (Sorbonne University, France)Non-equilibrium and periodically driven quantum systems by Arnab Sen (IACS, Kolkata)Markov processes and applications by Hugo Touchette (Stellenbosch University, ...

Due to the ongoing COVID-19 pandemic,  the school will be conducted through online lectures.This advanced level school is the twelfth 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. The following courses will be offered.Introduction to Statistical field theories of athermal systems by Bulbul Chakrabarty (Brandeis University, US)Out of equilibrium dynamics of complex systems by Leticia Cugliandolo (Sorbonne University, France)Introduction to open quantum systems by Manas Kulkarni (ICTS, Bangalore)Dyson Brownian motion, free fermions and connections to Random Matrix Theory by Gregory Schehr (Sorbonne University, France)Non-equilibrium and periodically driven quantum systems by Arnab Sen (IACS, Kolkata)Markov processes and applications by Hugo Touchette (Stellenbosch University, ...

The summer school is intended for women students studying in first year B.Sc/B.E./B.Tech or equivalent degree and having Mathematics as one of the major subjects/courses, during the academic year 2020-2021. The school shall aim at helping young students gain broader exposure to problem solving skills in mathematics and statistics at the undergraduate level.

The summer school is intended for women students studying in first year B.Sc/B.E./B.Tech or equivalent degree and having Mathematics as one of the major subjects/courses, during the academic year 2020-2021. The school shall aim at helping young students gain broader exposure to problem solving skills in mathematics and statistics at the undergraduate level.

The goal of this online school and discussion meeting is to update students and researchers with the recent developments in Ultracold Trapped Atomic, Molecular and Ionic systems. The primary emphasis will be on experimental aspects. The unifying underlying theme is: control of quantum states. It is expected that the attendees will imbibe a significant amount of technical know-how from the School, in addition to the physical concepts driving the research. The suffixed Discussion Meeting will provide a platform to showcase some of the latest developments in the field.The lecture topics are categorized under four categories:1. Trapped ion quantum computing and simulation2. Rydberg systems3. Ultracold molecules and mixtures4. Emergent topics in AMO sciencesEligibility: We encourage young researchers and students (who have completed at least 1 year of MSc by May 2021) to participate in this program and to apply online.   Application start date: March 1, 2021.