Description
Commutative Algebra seminar.
Speaker: Nitin Nitsure.
Affiliation: TIFR Mumbai.
Date and Time: Monday 14 October, 3:30 pm - 5:00 pm.
Venue: Room 215, Department of Mathematics.
Title: Vector bundles, stability and Harder-Narasimhan filtration.
Abstract: Vector bundles in geometry generalize projective modules in
algebra. They are the simplest sort of coherent sheaves. We will introduce
the all important notion of stability of vector bundles. The stable
bundles have nice properties, and luckily, most bundles are stable. But
even those bundles that are not stable can be analysed in terms of stable
bundles. This is done by the notion of the Harder-Narasimhan filtration of
a bundle. We will give a sketch of the theory and illustrate it with
examples.