10th, 12th, 14th, 17th, 19th, 21st, 24th, 27th and 28th January 2011
Monday, Wednesday and Friday. (except that instead of 26th January, we have the lecture on 27th because of Republic Day Holiday)
Chevalley Structure Theorem on Algebraic groups, and beyond
Institut Fourier, Grenoble, France.
Specifically, I would start by presenting a classical theorem of Chevalley which asserts that any connected algebraic group over an algebraically closed field is an extension of an abelian variety by a connected linear algebraic group. Then I would turn to recent developments related to this theorem: about actions of non-linear algebraic groups, anti-affine algebraic groups, and homogeneous principal bundles over abelian varieties.