Angela Gibney : Conformal blocks divisors and strange identities

Posted by Izzet Coskun , part of the Algebraic Geometry Seminar.

At

April 3, 2013, 4 p.m.

In

SEO 427

Abstract

First Chern classes of globally generated vector bundles on a projective variety X are semi-ample divisor classes, which give rise to morphisms on X. In this talk I will introduce a class of globally generated vector bundles on the moduli space of stable pointed rational curves which come from the conformal field theory of Tsuchiya, Ueno and Yamada. Recently work of Fakhruddin has resulted in combinatorial methods for studying these divisor classes. I will explain the basic tools used to work with these divisors and some of their remarkable properties. I will also describe an open problem related to level rank duality of conformal blocks.