Program on Representation Theory and Complex Geometry
Venue: W303 School of Mathematics
Dates: November 29—December 10, 2021
Representation theory and complex geometry are two deeply interacted mathematical fields that have been and are still being extensively studied by mathematicians. In the past two decades, a great deal of achievements have been made in these fields, such as geometric representation theory/Langlands duality, quantum cohomology/Gromov-Witten theory, Donaldon-Thomas theory, and much more. This program tries to give a flavor of these rapidly-growing fields, by first introducing some basic concepts and techniques such as Lie algebras, Grassmannians and flag varieties, and then giving several examples and applications such as the geometry of nilpotent orbits, the Hitchin systems and mirror symmetry.
Minicourses:
1.Lectures on Lie algebras and related topics
By Xuanzhong Dai (Fudan University)
2.Lectures on Schubert calculus and applications
By Yaoxiong Wen (KIAS, Korea)
3.Lectures on symplectic, Kahler and hyper-Kahler geometry
By Weiqiang He (Sun Yat-sun University)
4.Lectures on the moduli problems of vector bundles
By Xueqing Wen (Tsinghua University)
5.Lectures on Higgs bundles and related topics
By Xiaoyu Su (Tsinghua University)
Reference:
Chriss and Ginzburg: Representation theory and complex geometry. Modern Birkhäuser Classics
schedule:
First week (November 29—December 3, 2021)
Lecture 1 |
Lecture 2 |
Lecture 3 |
Lecture 4 |
Lecture 5 |
Dai |
Dai |
Dai |
Dai |
Dai |
Y. Wen |
Y. Wen |
Y. Wen |
Y. Wen |
Y. Wen |
Second week (December 6—December 10, 2021)
Lecture 1 |
Lecture 2 |
Lecture 3 |
Lecture 4 |
Lecture 5 |
X. Wen |
X. Wen |
Su |
Su |
Su |
He |
He |
He |
X. Wen |
X. Wen |
Organizers:
Bohui Chen (Sichuan University)
Xiaojun Chen (Sichuan University)
Yaoxiong Wen (KIAS, Korea)
Financial support:
National Natural Science Foundation of China
School of Mathematics, Sichuan University
Tianyuan Mathematical Center in Southwest China