Geometric Approach to Integrability
主讲人：Peter Koroteev
时间：10月10日 19:20～20:50
地点：宁斋
摘要
The history of integrable systems is a story of deep mathematical structures emerging from physical problems. From classical mechanics to modern quantum theory, integrability continues to inspire new discoveries across mathematical physics. In the late 20th and early 21st centuries, algebraic geometry and representation theory became fundamental in advancing the study of integrable systems. However, only in recent years has it become possible to fully elucidate the connections and dualities between various integrable systems in purely geometric terms.In this talk, I will introduce a keen geometric structure—an oper—that captures the phase spaces of a large family of many-body integrable systems as well as the spectra of quantum spin chains. Our approach establishes deep connections with various areas of mathematical physics, including representation theory, cluster algebras, and quantum cohomology.
主讲人 Peter Koroteev
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 moving to the United States and 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 fascinated by 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.
