##### Department of Mathematics,

University of California San Diego

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### Math 295 - Mathematics Colloquium

## Eric Friedlander

#### USC and Northwestern

## Lie algebras, subalgebras, and vector bundles (in characteristic p)

##### Abstract:

\indent We discuss the challenge of understanding the WILD representation theory of Lie algebras over fields of positive characteristic. Even very explicit examples lead to difficult, if not impossible, problems. One can make some computations, but how does one give structure to these computations? Recent joint work with Julia Pevtsova introduces algebro-geometric invariants for such representations, an approach which leads to algebraic vector bundles on familiar (and not so familiar) algebraic varieties.

### November 10, 2011

### 3:00 PM

### AP&M 6402

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