数学研究所

学术报告

代数几何研讨班

Speaker: 杜予聪 助理研究员 （重庆大学）

Inviter: 陈亦飞 副研究员

Language: Chinese

Title: The blockwise Galois Alperin weight conjecture for symmetric and alternating groups

Time&Venue: 2025年4月2日（星期三） 10:00-11:00 & 思源楼S813

Abstract: The Alperin weight conjecture is one of the most important global-local conjectures in modular representation theory of finite groups. It implies a relation between irreducible representations of a finite group and irreducible projective representations of quotient groups of its local subgroups. This conjecture has been reduced to inductive conditions of finite simple groups, that is, to prove this conjecture, it suffices to prove the inductive Alperin weight conditions for finite simple groups. In this lecture, we prove the blockwise Galois Alperin weight conjecture for 2-covering groups of symmetric and alternating groups. This is a joint work with Xin Huang and Jiping Zhang.