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.
