Thu, April 19, 2018
3:00 pm - 4:00 pm
Cockins Hall 240
Title: Homogeneous vector bundles on abelian varieties via representation theory
Speaker: Michel Brion (Institut Fourier, Grenoble, France)
Abstract: The objects of the talk are the translation invariant vector bundles on an abelian variety. They form a tensor abelian category which is equivalent to the category of coherent sheaves with finite support on the dual abelian variety, via the Fourier-Mukai transform. The talk will present an alternative approach to the category of homogeneous vector bundles, in terms of represen- tations of a commutative affine group scheme. Some natural operations on vector bundles such as tensor product, dual, push-forward and pull-back under isogenies, can be described in simple terms via this approach.