Noah Giansiracusa : A simplicial approach to effective divisors in $\bar{M}_{0,n}$

Posted by Kevin Tucker , part of the Algebraic Geometry Seminar.

At

April 23, 2014, 4 p.m.

In

SEO 427

Abstract

The moduli space $\bar{M}_{0,n}$, a compactification of the space of n distinct points on the Riemann sphere, has served as a fertile testing ground to explore many phenomena of moduli spaces in algebraic geometry. One tantalizing question is to describe the convex cone of effective divisor classes and Cox ring of these spaces. I'll discuss joint work with B. Doran and D. Jensen in which we provide a new perspective on this question in terms of simplicial complexes and show how this relates to recent exciting work of Castravet, Tevelev, and Opie.