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SUMMARY:Geometric induction for algebraic supergroups - Serganova\, V (UC 
 at Berkeley)
DTSTART:20090327T153000Z
DTEND:20090327T163000Z
UID:TALK17558@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Let G be a classical algebraic supergroup\, and H be its subgr
 oup. The geometric induction functor is the derived functor from the categ
 ory of H-modules to the category of G-modules. It is defined as the cohomo
 logy of vector bundles on G/H. We study this functor in detail in case whe
 n H is a parabolic subgroup and G=SL(m\,n) or OSP(m\,2n) and use this resu
 lt to find the characters of all irreducible representations of G.
LOCATION:Seminar Room 1\, Newton Institute
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