Back to Algebraic Geometry Seminar: Fall 2010
Algebraic Geometry Seminar
Date: Tuesday, Dec 14, 2010
Time: 3:30PM - 4:30PM
Location: LCB 323
David Swinarski
University of Georgia
Title |
Vector bundles of conformal blocks on M 0,n for sl 2 and sl n |
Abstract |
The WZW model of conformal field theory yields a vector bundle on the moduli space of pointed curves M 0,n depending on a choice of a Lie algebra, a level, and a set of n weights in the corresponding Weyl alcove. Recently, Fakhruddin gave formulas for the Chern classes of these bundles when g=0 and showed they are globally generated. I will discuss recent joint work with Alexeev, Arap, Giansiracusa, Gibney, and Stankewicz on these bundles for sl 2 and sl n . We show that some of these divisors associated to these bundles are extremal in the nef cone and identify the images of the corresponding linear systems. |
Algebraic Geometry