Published on *Department of Mathematics* (https://math.yale.edu)

February 21, 2019 - 4:00pm

LOM 215

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.

Link to poster [1]

**Links:**

[1] http://gauss.math.yale.edu/~cav7/officialposter.pdf