Algebraic Geometry Seminar
Luca Scala
U. Chicago
Symmetric powers of tautological bundles on Hilbert schemes of points on a surface
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.
Thursday September 9, 2010 at 4:00 PM in SEO 636