30 may 2018 -- 14:00
Aula di Consiglio, Dip.Matematica, Università "La Sapienza", Roma
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 homogeneous vector bundles, in terms of representations of a commutative affine group scheme attached to the abelian variety. 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.