标题：Blocks with only one irreducible Brauer character orbit

报告时间：2026年8月20日（星期四） 09:00-10:00

报告地点：线上腾讯会议(会议ID: 667775756)

主讲人：周远扬

主办单位：数学与统计学院

报告内容简介：

In this talk, we confirm the Kessar-Linckelmann conjecture for blocks with abelian defect groups. More generally, we prove that if a covered block with abelian defect groups has its irreducible Brauer characters forming a single orbit under the block stabilizer, then the covering block is inertial; we term these blocks with a single irreducible Brauer character orbit. Consequently, we establish Brou\'e's abelian defect conjecture for such blocks.

       As a byproduct, we show that blocks of finite quasisimple groups with a single irreducible Brauer character orbit necessarily have abelian defect groups. As applications, we verify the blockwise Alperin weight conjecture for blocks with a unique irreducible Brauer character and prove Puig's long-standing conjecture in full generality. All results rely essentially on the Classification of finite simple groups.

主讲人简介：

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、国家级高层次领军人才。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。