报告人：黄鑫 副教授（华中师范大学）

时间：2025年10月15日   下午14:00—16:00

           2025年10月16日   上午10:00—12:00

           2025年10月17日   下午14:00—16:00

地点：数统学院LD402

摘要：Recently, Kleshchev and Livesey (Mem. AMS 2025, Ann. Rep. Theory 2025) proved the existence of RoCK p-blocks for double covers of symmetric and alternating groups over large enough coefficient rings. They proved that RoCK blocks of double covers are Morita equivalent to standard “local” blocks via bimodules with endopermutation source. Based on this, Kleshchev and Livesey proved that these RoCK blocks are splendidly Rickard equivalent to their Brauer correspondents. The analogous result for blocks of symmetric groups, a theorem of Chuang and Kessar, was an important step in Chuang and Rouquier ultimately proving Broué's abelian defect group conjecture for symmetric groups. In this talk we show that the Morita and splendid Rickard equivalences constructed by Kleshchev and Livesey descend to the ring of p-adic integers, hence prove Kessar and Linckelmann's refinement of Broué's abelian defect group conjecture for these RoCK blocks. This is joint work with Yucong Du.

邀请人：杜予聪

欢迎广大师生积极参与！