Double ramification cycles and tautological relations
Speaker:
Emily Clader, San Francisco State University
Date and Time:
Wednesday, December 7, 2016 - 11:00am to 12:00pm
Location:
Fields Institute, Room 230
Abstract:
Tautological relations are certain equations in the Chow ring of the moduli space of curves. I will discuss a family of tautological relations, first conjectured by A. Pixton, that arises by studying moduli spaces of ramified covers of the projective line. These relations can be used to recover a number of well-known facts about the moduli space of curves, as well as to generate very special equations known as topological recursion relations. This is joint (and partially ongoing) work with various subsets of S. Grushevsky, F. Janda, X. Liu, X. Wang, and D. Zakharov.