Quantum groups and topological invariants of 3-manifolds
This course is an introduction to various categories associated to quantum group, especially quantum $sl_2$. Then we will pass from algebra to topology and construct the topological invariants of 3-manifolds.
Lecturer
Date
5th March ~ 21st May, 2025
Location
| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| Wednesday | 13:30 - 16:55 | A3-2a-302 | ZOOM 02 | 518 868 7656 | BIMSA |
Prerequisite
Basic theory of category, Riemann surface
Reference
B. Bakalov and A. Kirillov, Lectures on Tensor Categories and Modular Functor
Audience
Undergraduate
, Advanced Undergraduate
, Graduate
Video Public
No
Notes Public
Yes
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.