报告题目 (Title)：有限域上一般线性群的特征与顶点算子
Characters of the general linear groups over finite field and vertex operators
报告人 (Speaker)：景乃桓 教授（美国州立大学）
报告时间 (Time)：2026年3月22日(周日) 16:00
报告地点 (Place)：校本部F309
邀请人(Inviter)：张红莲
报告摘要：I will present some recent works to compute general irreducible characters of the groups GL(n, q) via vertex operators. The new method enhances Green's theory of irreducible characters of the general linear groups over finite field, where the Grothendieck ring of representations are realized as two isomorphic Fock spaces associated to two infinite-dimensional equivariant Heisenberg Lie algebras. Under this picture, the irreducible characters can be computed in great generality. This is joint work with Yu Wu.