### Derived categories and perverse sheaves

**Achar, P ***(Louisiana)*

Tuesday 13 January 2009, 10:00-11:00

Seminar Room 1, Newton Institute

#### Abstract

Perverse sheaves are a very important and powerful tool in representation theory. In these talks, we will begin with the formalism of derived categories and t-structures, needed to define perverse sheaves. Next, we will go through the list of remarkable properties of perverse sheaves that make them "better" than ordinary sheaves, and are the source of their usefulness. Lastly, we will look at a couple of representation theory applications. (Some basic familiarity with ordinary sheaves may be a helpful prerequisite.)

#### Video

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