Thursday, August 25, 14:00, 8.122.

Alexander Kleshchev (U of Oregon)
RoCK blocks of symmetric groups and Hecke algebras

Abstract:
We present a joint result with Anton Evseev, which describes every block of a symmetric group up to derived equivalence as a certain Turner double algebra. Turner doubles are Schur-algebra-like `local' objects, which replace wreath products of Brauer tree algebras in the context of the Broué abelian defect group conjecture for blocks of symmetric groups with non-abelian defect groups. This description was conjectured by Will Turner. It relies on the work of Chuang-Kessar and Chuang-Rouquier (RoCK=Rouquier+Chuang+Kessar).
Key idea is a connection with Khovanov-Lauda-Rouquier algebras and their semicuspidal representations.