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Geometric induction for algebraic supergroups

Presented by: 
V Serganova [UC at Berkeley]
Date: 
Friday 27th March 2009 - 15:30 to 16:30
Venue: 
INI Seminar Room 1
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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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons