# Jordan Groups, Abelian Varieties and Conic Bundles

## Meeting Details

Abstract: A classical theorem of Jordan asserts that each finite subgroup of the complex general linear group GL(n) is almost commutative": it contains a commutative normal subgroup with index bounded by a universal constant that depends only on n. We discuss an analogue of this property for the groups of birational (and biregular) automorphisms of complex algebraic varieties and the groups of diffeomorphisms of real manifolds. This is a report on a joint work with Tatiana Bandman (Bar-Ilan).