Thematic Seminar: The tautological ring of the moduli space of curves

Seminar | January 24 | 4:10-5 p.m. | 740 Evans Hall | Canceled

 Aaron Pixton, Massachusetts Institute of Technology

 Department of Mathematics

Let $M_g$ be the moduli space of smooth curves of genus $g$. The tautological ring is a subring of the cohomology of $M_g$ that 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. After reviewing these conjectures, I will discuss some of the evidence in recent years favoring one conjecture over the other.