### 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.

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