## View abstract

### Session S31 - Mathematical-Physical Aspects of Toric and Tropical Geometry

Monday, July 12, 12:15 ~ 13:15 UTC-3

## The rational cohomology of $\mathcal{A}_g$

### Melody Chan

I'll discuss recent work using tropical techniques to find new rational cohomology classes in moduli spaces $\mathcal{A}_g$ of abelian varieties, building on previous joint work with Soren Galatius and Sam Payne relating the cohomology of moduli spaces of curves $\mathcal{M}_g$ to homology in Kontsevich's graph complexes. I will try to present a broad view.