Tuesday, January 15, 2019
4:00 PM - 5:00 PM
Linde Hall 310

Mathematics Colloquium

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.
For more information, please contact Mathematics Department by phone at 4335 or by email at mathinfo@caltech.edu.