Seminar | February 6 | 4:10-5 p.m. | 740 Evans Hall
Aaron Pixton, Massachusetts Institute of Technology
Let Mg be the moduli space of smooth curves of genus g. The tautological ring is a subring of the cohomology of Mg 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.