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

Seminar | February 6 | 4:10-5 p.m. | 740 Evans Hall

 Aaron Pixton, Massachusetts Institute of Technology

 Department of Mathematics

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.

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