Departmental Colloquium
Irena Peeva
Cornell University
Hilbert schemes
Abstract: The Hilbert function is an invariant which measures the
size of a graded ideal in a polynomial ring: in particular,
it gives the dimension and the multiplicity of the variety
defined by a prime ideal. This talk will focus on
the properties of ideals with a fixed Hilbert function, starting
from classical results of Hilbert, Macaulay, and Grothendieck. The
Hilbert scheme (introduced by Grothendieck) parameterizes ideals with
a fixed Hilbert function. The talk will discuss properties of Hilbert
schemes.
Friday April 28, 2006 at 2:00 PM in SEO 636