School of Mathematics Colloquium

Cohomology of the moduli space of curves

by Prof. Rahul Pandharipande (ETH, Zurich)

Tuesday, February 11, 2014 from to (Asia/Kolkata)
at Colaba Campus
Description
ABSTRACT:

The moduli 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.