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About
President
Governance
Partner Institutions
Visit
People
Management
Faculty
Postdocs
Visiting Scholars
Staff
Research
Research Groups
Courses
Seminars
Join Us
Faculty
Postdocs
Students
Events
Conferences
Workshops
Forum
Life @ BIMSA
Accommodation
Transportation
Facilities
Tour
News
News
Announcement
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Qiuzhen College, Tsinghua University
Yau Mathematical Sciences Center, Tsinghua University (YMSC)
Tsinghua Sanya International  Mathematics Forum (TSIMF)
Shanghai Institute for Mathematics and  Interdisciplinary Sciences (SIMIS)
BIMSA > Integrable systems blackboard seminar Opers -- how they help to understand integrable systems
Opers -- how they help to understand integrable systems
Organizers
Nicolai Reshetikhin , Bart Vlaar , Rui Jie Xu
Speaker
Peter Koroteev
Time
Monday, September 23, 2024 3:30 PM - 5:00 PM
Venue
A3-1a-205
Abstract
I will introduce spaces of (q-)opers for simple simply-connected group G and will show how they can be described by systems of Bethe equations. For certain conditions on sections of the oper bundle these equations can be rewritten as energy level equations for soluble many-body systems of Calogero-Ruijsenaars type. Thus opers provide a natural geometric framework for dualities in integrable systems. I'll discuss new ideas and applications.
Speaker Intro
My education begain in Russia where I learned math and physics at Moscow Insitute of Physics and Technology. I started my research career as a theoretical physicist after obtaining my PhD from University of Minnesota in 2012. At first, my research focus was drawn to various aspects of supersymmetric gauge theories and string theory. However, I have always been drawn to pure abstract mathematics since my student days. Since around 2017 I have been a full time mathematician.

My current research is focused on the interaction between enumerative algebraic geometry, geometric representation theory and integrable systems. In general I work on physical mathematics which nowadays represents a large part of modern math. A significant amount of problems that are studied by mathematicians comes from string/gauge theory. More recently I began to study number theory and how it is connected to other branches of mathematics.

If you are postdoc or a graduate student in Beijing area and you are interested in working with me contact me via email.
Beijing Institute of Mathematical Sciences and Applications
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