Mark Ebert, USC – Derived Superequivalences for Spin Symmetric Groups and Odd sl2-categorifications

Mode: In-person

Title: Derived Superequivalences for Spin Symmetric Groups and Odd sl2-categorifications

Abstract: Since Chuang and Rouquier’s pioneering work showing that categorical sl(2)-actions give rise to derived equivalences, the construction of derived equivalences has been one of the more prominent tools coming from higher representation theory. In this talk, we explain joint work with Aaron Lauda and Laurent Vera giving new super analogues of these derived equivalences stemming from the odd categorification of sl(2). Just as Chuang and Rouquier used their equivalences to prove Broué’s abelian defect conjecture for symmetric groups, we use our superequivalences to prove this long standing conjecture for spin symmetric groups.