Branes and Representations of DAHA of C^\vee C1

ADS seminar

Organizers：

数学物理团队

Speaker：

Yutai Zhang (Fudan Universitiy)

Time：

Thur., 1:30 pm, Nov. 14, 2024

Venue：

Qiuzhen Hall, Ningzhai

Title：

Branes and Representations of DAHA of C^\vee C1

Abstract:

This talk will explore the representation theory of the spherical Double Affine Hecke Algebra (DAHA) of C^\vee C_1, using brane quantization. By examining the geometry of the Hitchin moduli space, I will demonstrate a one-to-one correspondence between finite-dimensional representations of the spherical DAHA and Lagrangian A-branes with compact support. Moreover, both finite- and infinite-dimensional representations can be naturally interpreted in terms of the D_4 root system. This talk is based on an ongoing work with Junkang Huang, Shutong Zhuang, and my supervisor, Satoshi Nawata.