## University of Sydney Algebra Seminar

# Andrew Mathas (University of Sydney)

## Friday 1st June, 12:05-12:55pm, Carslaw 175

### Graded Specht modules

Brundan and Kleshchev recently introduced a \(\mathbb{Z}\)-grading on the cyclotomic Hecke algebras of the complex refection groups of type \(G(r,1,n)\). Brundan, Kleshchev and Wang showed how to define a graded lift of the Specht modules for these algebras over a field. In this talk I will explain what is now known about these modules and why they are important. Finally I will describe a new way of looking at the KLR grading which gives new information about the grading and, in particular, a better basis for the graded Specht modules.