# Anthony Licata (Australian National University)

## Friday 5th October, 12:05-12:55pm, Carslaw 375

### Hilbert schemes, affine Lie algebras and Khovanov homology

The goal of this talk will be to explain how to use the higher representation theory of affine Lie algebras to construct braid group actions on various categories of algebraic and geometric origin. As an application, we give a geometric construction of Khovanov's $$sl(2)$$ link homology using Hilbert schemes of points on ALE spaces.