Event time:

Monday, November 4, 2019 - 4:30pm

Location:

LOM 214

Speaker:

Pablo Boixeda Alvarez

Speaker affiliation:

MIT

Event description:

The question of the center of the quantum group at a generic

parameter was understood by Drinfeld in 1989, but the center of this algebra

when you specialize at a root of unity remained an open question. By work of

Lachowska, Qi and Bezrukavnikov we had some description of the center of the

small quantum group. In joint work with Bezrukavnikov, Shen and Vasserot,

we prove a more concrete description of the center of the small quantum group,

in terms of the cohomology of a certain affine Springer fiber.