Aaron Pixton, October 1st, 2013

The tautological ring of the moduli space of smooth curves of genus g is the subring of

its Chow ring generated by the kappa classes. The Faber-Zagier relations are an explicit

algebraic description of a large number of relations in this ring, conjectured to span all

the relations. I will discuss an extension of these relations to the moduli space of stable

curves with marked points and explain how this gives a new perspective on the

Faber-Zagier relations. Part of this talk presents joint work with R. Pandharipande and

D. Zvonkine.