Algebraic Geometry Seminar

Topology of moduli spaces of tropical curves

Speaker: Sam Payne, Yale University

Location: Warren Weaver Hall 317

Date: Tuesday, November 28, 2017, 3:30 p.m.

Synopsis:

The top weight cohomology of the moduli space of algebraic curves is naturally identified (with a degree shift) with the reduced rational homology of a moduli space of stable tropical curves.  I will discuss the structure of this tropical moduli space and applications to computing new cohomology classes on M_g, based on recent joint work with M. Chan and S. Galatius.