Time

Apr 29 2008 - 4:30pm - 5:30 pm

Location

Scott Lab 241

Speaker

Hsian-Hua Tseng (Wisconsin)

Seminar Website

http://www.math.ohio-state.edu/~lchen/seminar.html

Abstract

Inside moduli spaces of stable pointed curves one can consider loci which parametries curves that admit Hurwitz cover structures to over curves. These loci are called Hurwitz loci. Hurwitz-Hodge integrals are by definition integrals over these loci of Chern classes of suitably defined Hodge bundles. Hurwitz-Hodge integrals arise naturally as Gromov-Witten invariants of local orbifolds. In this talk we'll review the definition of Hurwitz-Hodge integral. We'll discuss a result, proven with Paul Johnson and Rahul Pandharipande, which expresses cyclic Hurwitz-Hodge integrals with one Hodge class as double Hurwitz numbers.