Aaron Pixton : Tautological relations of Faber-Zagier type

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

At

Oct. 23, 2013, 4 p.m.

In

SEO 427

Abstract

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, possibly giving all the relations. I will discuss two families of tautological relations defined in a similar fashion to the Faber-Zagier relations.