Rahul Pandharipande : Cohomology of the moduli space of curves

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

At

Sept. 3, 2013, 4 p.m.

In

SEO 1227

Abstract

The moduil space of curves carries tautological cohomology classes. I will discuss the study of relations amongst these classes starting with ideas of Mumford in 1980s. The subject advanced in the 1990s with conjectures of Faber and Faber-Zagier. I will explain the current state of affairs based on Pixton's conjectures related to cohomological field theories. The talk represents joint work with A. Pixton and D. Zvonkine.