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Algebraic Geometry Seminar - Konstantin Shramov (Steklov Mathematical Institute)

posted Jul 22, 2012, 5:26 PM by Jihye Jung   [ updated Jul 24, 2012, 9:58 PM ]
- Title : Jordan property for Cremona groups
 
- Speaker : Konstantin Shramov (Steklov Mathematical Institute)
 
- Date & Time : 25 June , 2012 (Mon) 16:45~17:45
 
- Place : Math Science Building room 404
 
- Abstract
 
A (infinite) group F is called Jordan if there is a constant J such that for any finite subgroup G in F there is a normal abelian subgroup H in G of index [G:H]<J.Classical examples  of groups with this property include GL_n(C), and thus all affine algebraic groups over fields of zero characteristic. I will prove that the Cremona group Cr_n(C) is Jordan for n=3, and the same result holds for any n>3 modulo Borisov-Alexeev-Borisov conjecture.   The talk is basedon a joint work with Yu.Prokhorov.
 
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Jihye Jung,
Jul 22, 2012, 5:26 PM
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