Tuesday, January 15, 2019
4:00 PM - 5:00 PM
Linde Hall 310
Series: Mathematics Colloquium Series
The tautological ring of the moduli space of curves
Aaron Pixton, Department of Mathematics, MIT,
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.
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