Topics on KZ Equations and KZB Equations
We continue the related topics of KZ equations in the last semseter, including the various invariants, the Gaudin model and the Bethe Ansatz. Then we switch to the genus 1 case, and talk about the corresponding results of KZB equations. We try to collect and discuss the well-known results and recent developments.
Lecturer
Date
13th September ~ 20th December, 2022
Website
Prerequisite
representation theory of simple Lie algebra, basic knowledge of differential geometry and algebraic topology
Audience
Graduate
Video Public
No
Notes Public
No
Language
Chinese
Lecturer Intro
Xinxing Tang, received a bachelor's degree in basic mathematics from the School of Mathematics, Sichuan University in 2013, and received a doctorate from Beijing International Center for Mathematical Research, Peking University in 2018. From 2018 to 2021, she worked as a postdoctoral fellow at the Yau Mathematical Sciences Center, Tsinghua University, and joined Beijing Institute of Mathematical Sciences and Applications in 2021 as assistant professor. Research interests include: integrable systems, especially infinite-dimensional integrable systems that appear in GW theory and LG theory, and are interested in understanding the algebraic structure of infinite symmetries and related calculations. Other interests include: mixed Hodge structures, isomonodromic deformation theory, KZ equations.