| Speaker: | Yutai Zhang (Fudan University) |
|---|---|
| Title: | Branes and Representations of DAHA of $C^\vee C1$ |
| Date (JST): | Tue, Oct 29, 2024, 15:30 - 17:00 |
| Place: | Balcony B |
| Abstract: |
This talk will explore the representation theory of the spherical Double Affine Hecke Algebra (DAHA) of $C^{\vee}C1$, using brane quantization. By examining the geometry of the Hitchin moduli space, I will demonstrate a one-to-one corre spondence between finite-dimensional representations of the spherical DAHA and compact Lagrangian submanifolds. Moreover, both finite- and infinite dimensional representations can be naturally interpreted in terms of the root system of type D4. This talk is based on an ongoing work with Junkang Huang, Shutong Zhuang, and my supervisor, Satoshi Nawata. |
