- 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
: 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.