Speaker：Naihuan Jing (North Carolina State University)

Time：2023-12-21 11:00

Location：Conference Room 686 at the 6th floor of Shuli Building at Haiyun Campus

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.