Event time:
Thursday, March 1, 2018 - 4:30pm to 5:30pm
Speaker:
Yaping Yang
Speaker affiliation:
University of Melbourne
Event description:
We will talk about a sheafified elliptic quantum group associated to any symmetric Kac-Moody Lie algebra. The sheafification is naturally obtained by applying the equivariant elliptic cohomological theory to the moduli space of representations of a preprojective algebra. By construction, the elliptic quantum group naturally acts on the equivariant elliptic cohomology of Nakajima quiver varieties. As anapplication, we obtain a relation between the sheafified elliptic quantum group and the global affine Grassmannian over an elliptic curve. This is based on my joint work with Gufang Zhao.