Chevalley's structure theorem on algebraic groups

Type: 
Lecture
Audience: 
Open to the Public
Building: 
Zrinyi u. 14
Room: 
310/A
Monday, May 30, 2011 - 10:00am
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Date: 
Monday, May 30, 2011 - 10:00am to 1:00pm

 A result of Chevalley asserts that any connected algebraic group over an algebraically closed field is an extension of an abelian variety by a connected linear algebraic group. This reduces the study of algebraic groups to the classes of linear (or matrix) groups, and of abelian varieties. Chevalley's theorem is a fundamental result, for which no easy proof is known. The course will present the ingredients of this theorem, the main steps of its proof by Rosenlicht (which establish intermediate results of independent interest), and some recent developments on the structure of algebraic groups.