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Talk
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Singularities of Schubert varieties within a right cell
Martina Lanini University of Rome Tor Vergata
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Yangians and cohomological Hall algebras of Higgs sheaves on curves
Olivier Schiffmann University of Paris-Saclay
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Tate's thesis in the de Rham setting
Sam Raskin The University of Texas at Austin
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Fundamental local equivalences in quantum geometric Langlands
Gurbir Dhillon Stanford University
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Z-algebras from Coulomb branches
Oscar Kivinen California Institute of Technology
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Cotangent complexes of moduli spaces and Ginzburg dg algebras
Sarah Scherotzke University of Luxembourg
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Talk
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Talk
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Summer Undergrad 2020 - Numerical Methods (A) - Lecture 5
Aaron Szasz Alphabet (United States)
PIRSA:20060013 -
Summer Undergrad 2020 - Numerical Methods (A) - Lecture 4
Aaron Szasz Alphabet (United States)
PIRSA:20060012 -
Summer Undergrad 2020 - Numerical Methods (A) - Lecture 3
Aaron Szasz Alphabet (United States)
PIRSA:20060011 -
Summer Undergrad 2020 - Numerical Methods (A) - Lecture 2
Aaron Szasz Alphabet (United States)
PIRSA:20050041 -
Summer Undergrad 2020 - Numerical Methods (A) - Lecture 1
Aaron Szasz Alphabet (United States)
PIRSA:20050040
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Discussion meeting on zero mean curvature surfaces (ONLINE)
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.
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Bangalore School on Statistical Physics - XI (ONLINE)
Due to the ongoing COVID-19 pandemic, the original program has been canceled. However, the school will be conducted through online lectures.This advanced level school is the eleventh 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.Nonequilibrium response theory by Urna Basu (RRI, Bengaluru, India)Topology in statistical physics by Subhro Bhattacharjee (ICTS, Bengaluru, India)Statistical mechanics of developed turbulence by Nigel Goldenfeld (University of Illinois, Urbana-Champaign, US)Statistical physics of rare events and large deviations by Yariv Kafri (Technion - Israel Institute of Technology, Haifa, Israel)
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Bangalore School on Statistical Physics - XI (ONLINE)
Due to the ongoing COVID-19 pandemic, the original program has been canceled. However, the school will be conducted through online lectures.This advanced level school is the eleventh 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.Nonequilibrium response theory by Urna Basu (RRI, Bengaluru, India)Topology in statistical physics by Subhro Bhattacharjee (ICTS, Bengaluru, India)Statistical mechanics of developed turbulence by Nigel Goldenfeld (University of Illinois, Urbana-Champaign, US)Statistical physics of rare events and large deviations by Yariv Kafri (Technion - Israel Institute of Technology, Haifa, Israel)
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Mathematica Summer School in Theoretical Physics (CANCELLED)
CANCELLED DUE TO COVID-19 RISK. Mathematica Summer School is a unique international event in theoretical physics, with a long history of success. It has a unique format; the morning sessions are reserved for lecture sessions on theoretical aspects and in the afternoon, students and mentors get together to solve complicated problems using the software Mathematica - a popular computational tool in theoretical physics.This summer school aims to equip young researchers with skills required to use modern computational tools and to provide them a platform to interact with experts from different mathematical fields, including computer algebra systems.The topic for the 2020 edition of the Mathematica Summer School is ‘d>2 Conformal Field Theories’. It will focus on using Mathematica to explore physical and mathematical properties of conformal field theories (CFTs), in generic dimensions; an active area of modern mathematical physics. It will also cover various other aspects of CFTs, including...
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Chevalley Groups and their Representations (CANCELLED)
CANCELLED DUE TO COVID-19 RISK. In 1955 Claude Chevalley achieved a breakthrough when he managed to define analogues of semisimple Lie groups over integers. By the standard procedure of tensoring, these can then be defined over any field, finite or infinite, or over any commutative ring with identity. These groups encompass all the reductive groups defined over fields and their avatars over rings. It is, therefore, no wonder that this idea immediately became immensely popular. This concept has been useful in, just to give an example, the classification of finite simple groups, the crowning glory of the last century mathematics.In this discussion meeting on `Chevalley groups and their representations’, we are going to have the following short courses of 5 lectures each. The course given by Vavilov deals with the intrinsic structure of the Chevalley groups while the other, given by Raghavan, deals with the representations of Chevalley groups with the example of GL(V), the mother of all ...
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Mathematica Summer School in Theoretical Physics (CANCELLED)
CANCELLED DUE TO COVID-19 RISK. Mathematica Summer School is a unique international event in theoretical physics, with a long history of success. It has a unique format; the morning sessions are reserved for lecture sessions on theoretical aspects and in the afternoon, students and mentors get together to solve complicated problems using the software Mathematica - a popular computational tool in theoretical physics.This summer school aims to equip young researchers with skills required to use modern computational tools and to provide them a platform to interact with experts from different mathematical fields, including computer algebra systems.The topic for the 2020 edition of the Mathematica Summer School is ‘d>2 Conformal Field Theories’. It will focus on using Mathematica to explore physical and mathematical properties of conformal field theories (CFTs), in generic dimensions; an active area of modern mathematical physics. It will also cover various other aspects of CFTs, including...
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Chevalley Groups and their Representations (CANCELLED)
CANCELLED DUE TO COVID-19 RISK. In 1955 Claude Chevalley achieved a breakthrough when he managed to define analogues of semisimple Lie groups over integers. By the standard procedure of tensoring, these can then be defined over any field, finite or infinite, or over any commutative ring with identity. These groups encompass all the reductive groups defined over fields and their avatars over rings. It is, therefore, no wonder that this idea immediately became immensely popular. This concept has been useful in, just to give an example, the classification of finite simple groups, the crowning glory of the last century mathematics.In this discussion meeting on `Chevalley groups and their representations’, we are going to have the following short courses of 5 lectures each. The course given by Vavilov deals with the intrinsic structure of the Chevalley groups while the other, given by Raghavan, deals with the representations of Chevalley groups with the example of GL(V), the mother of all ...
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Summer School for Women in Mathematics and Statistics (CANCELLED)
CANCELLED DUE TO COVID-19 RISK. The summer school is intended for women students studying in first year B.A/B.Sc./B.E./B.Tech. or equivalent degree and having Mathematics as one of the major subjects/courses, during the academic year 2019-2020. Over a period of two weeks, the school shall aim at helping young students gain broader exposure to problem solving skills in mathematics and statistics at the undergraduate level.Specific topics that will be covered are:Advanced CalculusLinear AlgebraProbability and StatisticsThere will be problem solving sessions across topics.Each topic will have a brief introductory lecture session on a focus area followed by problem solving sessions on it. The participants are expected to work together to solve the problem sheets that will be given out in these sessions. Each day will also feature two popular science lectures by distinguished researchers. The topics will range from across all sciences and the lecture will be made accessible to all the part...
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Summer School for Women in Mathematics and Statistics (CANCELLED)
CANCELLED DUE TO COVID-19 RISK. The summer school is intended for women students studying in first year B.A/B.Sc./B.E./B.Tech. or equivalent degree and having Mathematics as one of the major subjects/courses, during the academic year 2019-2020. Over a period of two weeks, the school shall aim at helping young students gain broader exposure to problem solving skills in mathematics and statistics at the undergraduate level.Specific topics that will be covered are:Advanced CalculusLinear AlgebraProbability and StatisticsThere will be problem solving sessions across topics.Each topic will have a brief introductory lecture session on a focus area followed by problem solving sessions on it. The participants are expected to work together to solve the problem sheets that will be given out in these sessions. Each day will also feature two popular science lectures by distinguished researchers. The topics will range from across all sciences and the lecture will be made accessible to all the part...
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Summer Undergrad 2020 - Symmetries
The aim of this course is to explore some of the many ways in which symmetries play a role in physics. We’ll start with an overview of the concept of symmetries and their description in the language of group theory. We will then discuss continuous symmetries and infinitesimal symmetries, their fundamental role in Noether’s theorem, and their formalisation in terms of Lie groups and Lie algebras. In the last part of the course we will focus on symmetries in quantum theory and introduce representations of (Lie) groups and Lie algebras.
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Summer Undergrad 2020 - Numerical Methods
This course has two main goals: (1) to introduce some key models from condensed matter physics; and (2) to introduce some numerical approaches to studying these (and other) models. As a precursor to these objectives, we will carefully understand many-body states and operators from the perspective of condensed matter theory. (However, I will cover only spin models. We will not discuss or use second quantization.)
Once this background is established, we will study the method of exact diagonalization and write simple python programs to find ground states, correlation functions, energy gaps, and other properties of the transverse-field Ising model. We will also discuss the computational limitations of exact diagonalization. Finally, I will introduce the concept of matrix product states, and we will see that these can be used to study ground state properties for much larger systems than can be studied with exact diagonalization.
Each 90-minute session will include substantial programming exercises in addition to lecture. Prior programming experience is not expected or required, but I would like everyone to have python (version 3) installed on their computer prior to the first class, including Jupyter notebooks; see “Resources” below.