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

Brown University, USA   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

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.

Joint work with Madeline Brandt (Brown University), Juliette Bruce (University of California, Berkeley), Margarida Melo (Università Roma Tre), Gwyneth Moreland (Harvard University) and Corey Wolfe (Tulane University).

View abstract PDF