Character varieties, Coulomb branches, and duality

Geometric Representation Theory Seminar

Organizers：

Lin Chen, Will Donovan, Penghui Li, Peng Shan, Changjian Su, Wenbin Yan

Speaker：

Dylan G Allegretti (YMSC)

Time：

Wed., 15:30-16:30

Dec. 18, 2024

Venue：

B627, Shuangqing Complex Building A

Title:

Character varieties, Coulomb branches, and duality

Abstract：

I will describe a project with Peng Shan which aims to relate character varieties of surfaces to K-theoretic Coulomb branches in the sense of Braverman, Finkelberg, and Nakajima. Focusing on the case where the surface is a once-punctured torus, I will show how our results provide a rigorous framework for studying the dualities of certain quantum field theories.