Event Title: OR
Speaker Last Name:    OR
Year: (yyyy)

Mathematics Colloquium


Date:  Tuesday, February 21, 2017

Title:  The tautological ring of the moduli space of curves

Abstract:  The tautological ring of the moduli space of smooth curves of genus g was introduced by Mumford in the 1980s in analogy with the cohomology of Grassmannians. Work of Faber and Faber-Zagier in the 1990s led to two competing conjectural descriptions of the structure of the tautological ring. The two conjectures give two distinct combinatorial characterizations of this ring, and they are both true for genus g <= 23, but they are contradictory for g >= 24. After reviewing these conjectures, I will discuss some of the evidence in recent years favoring one conjecture over the other.

Speaker:  Aaron Pixton
Institution:  MIT


Back to current Colloquium List
Back to UM Math seminars page


Department of Mathematics   |   2074 East Hall   |  530 Church Street  
Ann Arbor, MI 48109-1043
Phone: 734.764-0335   |   Fax: 734.763-0937

The page last modified
Site errors should be directed to