2022-10-11
举办单位：数学科学学院
负责人姓名：常学武
电话：18635195429
形式：线上学术报告
活动主题：the alperin weight conjecture for 2-blocks with abelian defect groups
内容摘要：
alperin weight conjecture is one of the most important conjectures in representation theory of finite groups. this conjecture has been reduced to finite simple groups with suitable conditions firstly by navarro and tiep (2011). then britta spath refined these conditions to the so-called inductive blockwise alperin weight conditions (2013), with which, the blockwise alperin weight conjecture was reduced to finite simple groups. using the inductive blockwise alperin weight conditions, spath proved that the blockwise alperin weight conjecture holds for all primes and all finite groups with abelian sylow 2-subgroups. in this talk, we give a proof of the alperin weight conjecture for 2-blocks with abelian defect groups. this generalizes spath’s result.
主讲人基本情况：
周远扬，华中师范大学数学与统计学院教授，博士生导师，院长，洪堡学者，国家杰出青年基金获得者。现为《数学通讯》主编、《algebra colloquium》编委。2008年曾入选教育部新世纪优秀人才支持计划。主要研究块代数的结构性质及其分类，主要研究课题有alperin权猜想、alperin-mckay猜想、broué交换亏群猜想等，研究成果发表在advances in mathematics、journal of london mathematical society、mathematische zeitschrift等国际权威期刊。
听众范围：数学科学学院师生
举办时间：2022年10月12日
举办地点：腾讯会议
报告类型：理科类