Algebraic Geometry Seminar

In this talk I will introduce classes on the moduli space of curves that arise in two different constructions; on the one hand, as Chern classes of Verlinde bundles, constructed from integrable modules over affine Lie algebras, and on the other hand, as the Gromov-Witten loci of smooth homogeneous varieties. We'll see that in the simplest cases these classes are equivalent. Examples, conjectures, and generalizations via conformal vertex algebras will be discussed. This talk will be about joint work with Prakash Belkale, Chiara Damiolini, and Nicola Tarasca. Speaker(s): Angela Gibney (Rutgers)