## University of Sydney Algebra Seminar

# Andrew Mathas (University of Sydney)

## Friday 27th August, 12.05-12.55pm, Carslaw 175

### Graded representation theory of symmetric groups and KLR algebras -- Part III

In stealing Prof Kleshchev's title I will continue the theme of his previous two talks in discussing the graded representation theory of the Khovanov-Lauda-Ruoquier Hecke algebras. I will concentrate on recent work with Jun Hu where we construct explicit homogeneous bases for these algebras and results about the homogeneous Specht modules and their duals. If I have time then I will talk a little about the graded cyclotomic Schur algebras in the case of the linear quiver.