# The universal affine extension of an abelian variety – Michel Brion (Université Grenoble Alpes)

#### Venue

Dipartimento di Matematica, Aula Magna.

#### Abstract

Every abelian variety $A$ over a field $k$ admits a universal extension by an affine $k$-group scheme. The talk will present a construction of this universal affine extension (first due to Serre when $k$ is algebraically closed of characteristic zero) and discuss its structure, with applications to the category of homogeneous vector bundles over $A$.

Further information is available on the event page on the Indico platform.

Torna in cima