Event time:

Thursday, February 21, 2019 - 4:00pm

Location:

LOM 215

Speaker:

Melody Chan

Speaker affiliation:

Brown University

Event description:

The cohomology ring of the moduli space of curves of genus g is far

from being fully understood. For example, in the 1980s Harer-Zagier

showed that the Euler characteristic of M_g (up to sign) grows

super-exponentially with g—yet most of this cohomology is not

explicitly known. In joint work with Galatius and Payne, we identify a

new source of rational cohomology in M_g in degree 4g-6, with

dimension growing exponentially in g, disproving a vanishing

conjecture of Kontsevich.

Special note:

Intersections Inaugural Seminar