Thursday, August 25, 14:00, 8.122.
Alexander Kleshchev (U of Oregon)
RoCK blocks of symmetric groups and Hecke
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
Key idea is a connection with Khovanov-Lauda-Rouquier algebras and their