Double ramification cycles and tautological relations
Location: MSRI: Simons Auditorium
Moduli space of curves
Tautological relations are certain equations in the Chow ring of the moduli space of curves. I will discuss a family of such 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 and strengthen a number of well-known facts about the moduli space of curves, such as Graber-Vakil’s celebrated “Theorem Star.” This is joint work with F. Janda, S. Grushevsky, and D. Zakharov.
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