# Algebra Seminar

Date:

03/27/2019 - 3:00pm to 4:00pm

Location:

745 POT

Speaker(s) / Presenter(s):

Melody Chan, Brown University

Tropical curves, graph complexes, and the cohomology of M_g

Joint with SÃ¸ren Galatius and Sam Payne. The cohomology ring H^*(M_g,Q)

of the moduli space of curves of genus g is not fully understood, even

for g small. For example, in the 1980s Harer-Zagier showed that the

Euler characteristic (up to sign) grows super-exponentially with g

---yet most of this cohomology is not explicitly known. I will explain

how we obtained new results on the rational cohomology of moduli

spaces of curves of genus g, via Kontsevich's graph complexes and the

moduli space of tropical curves.

Type of Event (for grouping events):