Tuesday, June 07, 14:00, 7.527
Jun Hu (Beijing Institute of Technology), Graded cellular bases for the cyclotomic Khovanov-Lauda-Rouquier algebras of type A

Abstract:
In this talk I shall describe an explicit homogeneous cellular basis for the type $A$ cyclotomic Khovanov-Lauda-Rouquier algebras. We prove that they are graded symmetric algebras (which was conjectured by Brundan--Kleshchev) and also prove that induced Specht modules have an explicit filtration by shifts of graded Specht modules (which was conjectured by Brundan--Kleshchev--Wang). The talk is based on joint works with Andrew Mathas.