##### Department of Mathematics,

University of California San Diego

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### Representation Theory Colloquium

## Bertram Kostant

#### MIT

## Minimal coadjoint orbits and symplectic induction

##### Abstract:

Let $(X,w)$ be an integral symplectic manifold and let $(L,Delta)$ be a quantum line bundle, with connection, over X having w as curvature. With this data, one can define an induced symplectic manifold Y with $/dim(Y) = dim(X)+2$. This is applied to show that the 5 split exceptional Lie groups arise symplectically from the symplectic induction of coadjoint orbits of certain classical groups.

Host: Wee Teck Gan and Nolan Wallach

### January 20, 2004

### 1:30 PM

### AP&M 7321

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