Bridging affine vertex algebras and affine Springer fibres

Time：Fri., 15:30-16:30, Nov. 21, 2025

Venue：B725, Shuangqing Complex Building A

Organizer：Caucher Birkar，Jia Jia

Speaker：Peng Shan

Algebraic Geometry Seminar

Organizers：

Caucher Birkar，贾甲

Speaker：

Peng Shan (YMSC)

Time：

Fri., 15:30-16:30, Nov. 21, 2025

Venue:

B725, Shuangqing Complex Building A

Online：

Zoom Meeting ID: 262 865 5007

Passcode: YMSC

Title:

Bridging affine vertex algebras and affine Springer fibres

Abstract:

I would like to explain a program which aims to build relationships between affine Springer theory and representations of simple affine vertex algebras. We will discuss some explicit correspondence for admissible levels, and formulate some new conjectures about representations of simple affine vertex algebras at integer nonadmissible levels and their associated varieties. This is based on joint work with Dan Xie, Wenbin Yan and Qixian Zhao.

DATENovember 20, 2025

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