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Double ramification cycles and tautological relations

Connections for Women: Enumerative Geometry Beyond Numbers January 18, 2018 - January 19, 2018

January 18, 2018 (03:30 PM PST - 04:30 PM PST)
Speaker(s): Emily Clader (San Francisco State University)
Location: MSRI: Simons Auditorium
Tags/Keywords
  • Moduli space of curves

  • tautological ring

  • Gromov-Witten theory

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

4-Clader

Abstract

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.

Supplements
30491?type=thumb Clader Notes 192 KB application/pdf Download
Video/Audio Files

4-Clader

H.264 Video 4-Clader.mp4 437 MB video/mp4 rtsp://videos.msri.org/data/000/030/430/original/4-Clader.mp4 Download
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