Opers--how they help to understand integrable systems
组织者
演讲者
时间
2024年09月23日 15:30 至 17:00
地点
A3-1a-205
摘要
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.
演讲者介绍
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.
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.