##### Department of Mathematics,

University of California San Diego

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### Math 208 -- Algebraic Geometry Seminar

## William Graham

#### University of Georgia

## A generalization of the Springer resolution

##### Abstract:

The Springer resolution of the nilpotent cone of a semisimple Lie algebra has important

applications in representation theory, and in particular was used by Springer to give a geometric construction of the irreducible representations of Weyl groups. This talk concerns a generalization of the Springer resolution constructed with the use of toric varieties. We will discuss how this is connected in type A with Lusztig's generalized Springer correspondence, as well as an analogue of an affine paving of the fibers. Part of this talk is joint work with Martha Precup and Amber Russell.

Elham Izadi

### January 7, 2022

### 4:00 PM

Pretalk at 3:30pm

Contact Samir Canning (srcannin@ucsd.edu) for zoom access.

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