## University of Sydney Algebra Seminar

# Jonathan Brundan (University of Oregon)

## Friday 29 April, 12:05-12:55pm, Carslaw 175

### Generalisations of Khovanov's arc algebra

I will define some generalisations of Khovanov's arc algebra which was introduced originally in a special situation by Khovanov in the course of constructing a categorification of the Jones polynomial. Then I will explain where these algebras appear "in nature" including some of the following as time permits: perverse sheaves on Grassmannians, level two cyclotomic Hecke algebras, the general linear supergroup, the walled Brauer algebra, Deligne's category \(\underline{Rep}(GL_{\delta})\).