Luca Scala : Symmetric powers of tautological bundles on Hilbert schemes of points on a surface

Posted by , part of the Algebraic Geometry Seminar.

At

Sept. 9, 2010, 4 p.m.

In

SEO 636

Abstract

By techniques by Danila and Le Potier, the comprehension of global sections of certain determinant line bundles on moduli spaces of sheaves over the projective plane can be reduced to the understanding of the cohomology of symmetric powers of some tautological line bundles on Hilbert schemes of points on P_2. We will discuss a work in progress on these symmetric powers, in order to understand their global sections, and some ideas to get their higher cohomology.