Moduli spaces in tropical geometry

Thursday, March 9, 2023 - 11:00am for 1 hour (actually 50 minutes)
Skiles 006
Melody Chan – Brown University – melody_chan@brown.edu
Gong Chen, Benjamin Jaye, Tom Kelly

I will give a hopefully accessible introduction to some work on
tropical moduli spaces of curves and abelian varieties. I will report
on joint work with Madeline Brandt, Juliette Bruce, Margarida Melo,
Gwyneth Moreland, and Corey Wolfe, in which we find new rational
cohomology classes in the moduli space A_g of abelian varieties using
tropical techniques. And I will try to touch on a new point of view on
this topic, namely that of differential forms on tropical moduli
spaces, following the work of Francis Brown.