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The universal affine extension of an abelian variety

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Speaker: 
Michel Brion
Affiliation: 
Grenoble
Date: 
Thu, 2019-06-27 10:30 - 11:30
Location: 
MPIM Lecture Hall

Every abelian variety 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.
We will then discuss its structure, with applications to the
category of commutative quasi-compact group schemes, and to
homogeneous vector bundles over abelian varieties.

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