# ALT

## Seminar

### Geometric induction for algebraic supergroups

Serganova, V (UC at Berkeley)
Friday 27 March 2009, 15:30-16:30

Seminar Room 1, Newton Institute

#### Abstract

Let G be a classical algebraic supergroup, and H be its subgroup. The geometric induction functor is the derived functor from the category of H-modules to the category of G-modules. It is defined as the cohomology of vector bundles on G/H. We study this functor in detail in case when H is a parabolic subgroup and G=SL(m,n) or OSP(m,2n) and use this result to find the characters of all irreducible representations of G.

#### Video

The video for this talk should appear here if JavaScript is enabled.
If it doesn't, something may have gone wrong with our embedded player.
We'll get it fixed as soon as possible.