# Fibre bundles with reductive structure group over an algebraic variety

Algebra/Geometry/Topology Seminar

#### by Peter O'Sullivan

Institution: ANU
Date: Mon 1st November 2010
Time: 2:00 PM
Location: Room 213 Richard Berry Building, The University of Melbourne

Abstract: In 1957, Grothendieck classified fibre bundles with reductive structure group over the Riemann sphere. We show how Grothendieck's classification is a particular case of a more general result valid for any complete variety over an algebraically closed field of characteristic zero. As an application we obtain, using Atiyah's results on vector bundles, a classification of fibre bundles with reductive structure group over an elliptic curve.