Title: Topology of the tropical moduli spaces of curves
Speaker: Melody Chan
Speaker Info: Brown University
Brief Description:
Special Note:
Abstract:
The moduli space of $n$-marked, genus $g$ tropical curves is a cell complex that was identified in work of Abramovich-Caporaso-Payne with the boundary complex of the complex moduli space $M_{g,n}$. I will give results on the topology of tropical $M_{1,n}$, joint with Galatius and Payne, and on tropical $M_{2,n}$, obtaining as corollaries new calculations on the top-weight cohomology of the complex moduli spaces $M_{1,n}$ and $M_{2,n}$.Date: Thursday, March 31, 2016