April 19, 2018
3:00PM - 4:00PM
Cockins Hall 240
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2018-04-19 15:00:00
2018-04-19 16:00:00
Algebraic Geometry/K-Theory Seminar - Michel Brion
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.
Cockins Hall 240
OSU ASC Drupal 8
ascwebservices@osu.edu
America/New_York
public
Date Range
Add to Calendar
2018-04-19 15:00:00
2018-04-19 16:00:00
Algebraic Geometry/K-Theory Seminar - Michel Brion
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.
Cockins Hall 240
Department of Mathematics
math@osu.edu
America/New_York
public
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.
