##### Department of Mathematics,

University of California San Diego

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### Algebraic Geometry Seminar

## Anthony Licata

#### Stanford University

## Grassmanian Geometry and sl(2) Categorification

##### Abstract:

Categorification is big business in representation theory these days, and much of the inspiration for categorification comes from geometric representation theory. We'll try to explain some of the geometric inspiration for sl(2) categorification. As an application, we describe an interesting equivalence of categories between the derived categories of coherent sheaves on the cotangent bundle of dual Grassmanians. \\ Joint with Sabin Cautis and Joel Kamnitzer.

Host: Dragos Oprea

### October 14, 2009

### 4:00 PM

### AP&M 7218

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