Instructor:Naihuan Jing, North Carolina State University
Organizer:Yongchang Zhu
Time:October 26, Monday, 15:30-16:30 pm
Venue:B626, Shuangqing Complex Building A
Time: October 26, Monday, 15:30-16:30 pm
Venue: B626, Shuangqing Complex Building A
Title: Characters of GL(n,q)and vertex operators
Speaker: Naihuan Jing, North Carolina State University
Abstract: We give a new approach to compute irreducible characters of the general linear group over the finite field. The vertex algebraic method enhanced Green's theory and we realized the Hall algebra using two Fock spaces corresponding to extensions of Galois fields and their duals. As a result, a general formula of character values is obtained. This is joint work with Y. Wu.
Time: Friday, 4:00-5:00 pm, September 4, 2026
Title: Fusion actions and categorical orbifold theory
Speaker: Chongying Dong, University of California, Santa Cruz
Abstract: I will discuss our recent investigation into the generalized symmetries of condensable algebras in modular tensor categories. The mian results inculde Schur-Weyl duality, Galois correspondence and categorical orbifold theory. This is a joint work with Siu-Hung Ng, Li Ren and Feng Xu.