Algebraic Geometry Seminar

Pixton'S Relations and the Tautological Ring

Speaker: Dmitry Zakharov, Courant Institute of Mathematical Sciences

Location: Warren Weaver Hall 1314

Date: Tuesday, October 11, 2016, 3:30 p.m.


The tautological ring of the moduli space of curves Mg is a natural subring of either the cohomology or the Chow ring that is generated by a collection of natural classes. A number of vanishing results have been established about the tautological ring of Mg and its various compactifications. I will show that these results can be derived in a uniform and constructive way from Pixton's double ramification cycle relations, which were recently established by Clader and Janda, and I will discuss what further consequences Pixton's relations may have.