Speaker: Ivan Marin

Title: Cubic Hecke algebra on 5 strands

Abstract: We prove a 1998 conjecture of Broué, Malle and Rouquier that the cyclotomic Hecke algebra associated to the complex reflection group \(G_{32}\) is a flat deformation of the group algebra. This was one of the five yet unproven cases of the Broué-Malle-Rouquier conjecture for cyclotomic Hecke algebras. The case of \(G_{32}\) is particularly interesting because its braid group is the standard braid group on 5 strands.