Algebraic Groups and Related Structures: Izzet Coskun
- Date: 01/31/2012
- Time: 14:00
Lecturer(s):
Izzet Coskun
Location:
University of British Columbia
Topic:
The Birational Geometry of the Hilbert Scheme of Points in the Plane
Description:
Abstract
The Hilbert scheme of n points in the plane P^2[n] is a compactification
of n unordered tuples of points in the plane. It is a smooth,
irreducible variety of dimension 2n and plays a central role in
algebraic geometry, combinatorics, representation theory and
mathematical physics. In this talk, I will describe the birational
geometry of P^2[n]. I will explain how to run the minimal model program
on P^2[n] and how to interpret the resulting models as moduli spaces of
Bridgeland semi-stable objects. This is joint work with Daniele Arcara,
Aaron Bertram and Jack Huizenga.
Other Information:
Sponsor:
