Algebraic Groups and Related Structures: Izzet Coskun
Topic
The Birational Geometry of the Hilbert Scheme of Points in the Plane
Speakers
Details
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.
