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CANCELLED DUE TO COVID-19 RISK. Kä​hler geometry and connections on vector bundles have played an important role in mathematics as well as physics. The proposed programme is aimed at exposing young researchers to this vibrant field of research, and to some of the spectacular developments made in the field, over the past decade.The programme consists of two components; - a school in the first week, followed by a workshop in the second week. The talks shall be largely centred around recent developments in Kä​hler geometry, particularly focussing, on the analysis of Monge-Ampè​re type PDEs, that arise out of geometric questions such as existence and degenerations of Kä​hler-Einstein metrics, and their relationship with algebraic geometry. The school will consist of mini courses on the following topics, and will be accessible to PhD students and highly motivated Master’s students with some experience in complex and Riemannian geometry.      1. The Calabi Conjecture and its applications.   ...

CANCELLED DUE TO COVID-19 RISK. Kä​hler geometry and connections on vector bundles have played an important role in mathematics as well as physics. The proposed programme is aimed at exposing young researchers to this vibrant field of research, and to some of the spectacular developments made in the field, over the past decade.The programme consists of two components; - a school in the first week, followed by a workshop in the second week. The talks shall be largely centred around recent developments in Kä​hler geometry, particularly focussing, on the analysis of Monge-Ampè​re type PDEs, that arise out of geometric questions such as existence and degenerations of Kä​hler-Einstein metrics, and their relationship with algebraic geometry. The school will consist of mini courses on the following topics, and will be accessible to PhD students and highly motivated Master’s students with some experience in complex and Riemannian geometry.      1. The Calabi Conjecture and its applications.   ...

Unfortunately, the program was cancelled due to the COVID-19 situation but it will hopefully be held in the near future in the same format as originally planned (i.e., as a 2-week long workshop).However, one event from the original program will be held online on July 30, 2020. This will consist of six one-hour lectures featuring Professor Gopal Prasad's contributions in areas of mathematics. Prof. Prasad will be turning 75 this year. Speakers include :Mikhail Belolipetsky, IMPA, BrazilBrian Conrad, Stanford University, USATasho Kaletha, University of Michigan, USAJongHae Keum, KIAS South KoreaAndrei Rapinchuk, University of Virginia at Charlottesville, USAAlan Reid, Rice University USA Elgibility criteria : This program is addressed to active researchers (at any stage of their academic career) in the area of  Lie groups and their discrete subgroups, algebraic groups and related areas of algebraic and differential geometry. Applicants should send a CV and a brief description of research...

Unfortunately, the program was cancelled due to the COVID-19 situation but it will hopefully be held in the near future in the same format as originally planned (i.e., as a 2-week long workshop).However, one event from the original program will be held online on July 30, 2020. This will consist of six one-hour lectures featuring Professor Gopal Prasad's contributions in areas of mathematics. Prof. Prasad will be turning 75 this year. Speakers include :Mikhail Belolipetsky, IMPA, BrazilBrian Conrad, Stanford University, USATasho Kaletha, University of Michigan, USAJongHae Keum, KIAS South KoreaAndrei Rapinchuk, University of Virginia at Charlottesville, USAAlan Reid, Rice University USA Elgibility criteria : This program is addressed to active researchers (at any stage of their academic career) in the area of  Lie groups and their discrete subgroups, algebraic groups and related areas of algebraic and differential geometry. Applicants should send a CV and a brief description of research...

The rescheduled FPP 2022 program updates are available at - https://www.icts.res.in/program/fpp2022 CANCELLED DUE TO COVID-19 RISK.This program will focus on the model of first-passage percolation (FPP) --- a stochastic growth model --- and its close relatives. Stochastic growth models arise from physics and biology, and have been studied since the 1960s. Such systems address the behavior of growing interfaces, the spread of bacterial colonies, and the fluctuations of long chemical chains in a random potential.Physicists have made numerous predictions about the common behavior of models in the FPP class. One among them say that these models should have fluctuations of smaller order than is accessible with classical mathematical methods (exhibiting "super-concentration") and limiting laws that deviate from the standard Gaussian. In fact, the limiting fluctuations of models in the FPP class are thought to be universal, and appear in seemingly different contexts like random matrix theory,...

The rescheduled FPP 2022 program updates are available at - https://www.icts.res.in/program/fpp2022 CANCELLED DUE TO COVID-19 RISK.This program will focus on the model of first-passage percolation (FPP) --- a stochastic growth model --- and its close relatives. Stochastic growth models arise from physics and biology, and have been studied since the 1960s. Such systems address the behavior of growing interfaces, the spread of bacterial colonies, and the fluctuations of long chemical chains in a random potential.Physicists have made numerous predictions about the common behavior of models in the FPP class. One among them say that these models should have fluctuations of smaller order than is accessible with classical mathematical methods (exhibiting "super-concentration") and limiting laws that deviate from the standard Gaussian. In fact, the limiting fluctuations of models in the FPP class are thought to be universal, and appear in seemingly different contexts like random matrix theory,...

Due to the ongoing COVID-19 pandemic, the original program has been canceled. However, the meeting will be conducted through online lectures. Scattering amplitudes have played a central role in quantum field theory since its inception. Recent years have seen a remarkable advance in our understanding of scattering amplitudes, both for theoretical and phenomenological purposes. Apart from playing a prominent role in high-energy particle physics, these developments have far-reaching implications in a wide range; from hidden symmetries of gauge theories and gravity, to string perturbation and ambi-twistor strings, to new mathematics such as positive geometries. In particular, the search for a theory of S-Matrix has revealed surprising mathematical structures and new formulations underlying scattering amplitudes, with no reference to space and time. One line of research in the past decade has led to beautiful geometric formulations for all-loop scattering amplitudes in planar N=4 SYM, which...

Due to the ongoing COVID-19 pandemic, the original program has been canceled. However, the meeting will be conducted through online lectures. Scattering amplitudes have played a central role in quantum field theory since its inception. Recent years have seen a remarkable advance in our understanding of scattering amplitudes, both for theoretical and phenomenological purposes. Apart from playing a prominent role in high-energy particle physics, these developments have far-reaching implications in a wide range; from hidden symmetries of gauge theories and gravity, to string perturbation and ambi-twistor strings, to new mathematics such as positive geometries. In particular, the search for a theory of S-Matrix has revealed surprising mathematical structures and new formulations underlying scattering amplitudes, with no reference to space and time. One line of research in the past decade has led to beautiful geometric formulations for all-loop scattering amplitudes in planar N=4 SYM, which...

Due to the ongoing COVID-19 pandemic, the original program has been canceled. However, the meeting will be conducted through online lectures.The Discussion meet is on Zero Mean curvature surfaces (or ZMC surfaces) in Lorentz-Minkowski spaces, hyperbolic spaces, AdS-manifolds and related topics. The subject of minimal surfaces in Euclidean 3-space is very rich and has witnessed significant progress for more than 200 years. However the topic of maximal surfaces (ZMC surfaces) in Lorentz-Minkowski space and ZMC surfaces in hyperbolic spaces is a relatively recent one. This Discussion Meeting is aimed at enthusing faculty, students and postdocs to study and to explore this existing and exciting area of research.Eligibility Criteria: Faculty, postdocs and students with some research experience in geometry and who are interested in the area of minimal surface, maximal surface in Lorentz-Minkowski space, in hyperbolic spaces etc.

Due to the ongoing COVID-19 pandemic, the original program has been canceled. However, the meeting will be conducted through online lectures.The Discussion meet is on Zero Mean curvature surfaces (or ZMC surfaces) in Lorentz-Minkowski spaces, hyperbolic spaces, AdS-manifolds and related topics. The subject of minimal surfaces in Euclidean 3-space is very rich and has witnessed significant progress for more than 200 years. However the topic of maximal surfaces (ZMC surfaces) in Lorentz-Minkowski space and ZMC surfaces in hyperbolic spaces is a relatively recent one. This Discussion Meeting is aimed at enthusing faculty, students and postdocs to study and to explore this existing and exciting area of research.Eligibility Criteria: Faculty, postdocs and students with some research experience in geometry and who are interested in the area of minimal surface, maximal surface in Lorentz-Minkowski space, in hyperbolic spaces etc.