## Department Colloquium

### Friday, October 4th, 2019

**Time:** 2:30 p.m. **Place:** Jeffery Hall 234

**Speaker:** Diane Maclagan (Warwick)

**Title:** Geometry of the moduli space of genus zero curves.

**Abstract: ** The moduli space $\overline{M}_{0,n}$ of stable genus zero curves with $n$ marked points is a beautiful space that has been intensively studied by algebraic geometers and topologists for over half a century. It arises from a simple geometric question ("How can we arrange $n$ points on a sphere?"), but is the first nontrivial case of several interesting families of varieties (higher genus curves, stable maps, ...) and phenomena. Despite the long history there are still many mysteries about this variety. I will introduce this moduli space, and discuss some combinatorial approaches to understanding it.

**Diane Maclagan (Warwick)** is a Professor of Mathematics at the University of Warwick. She received her PhD from UC Berkeley, and moved to Warwick from Rutgers, following postdocs at IAS and Stanford. Her research is in Combinatorial Algebraic Geometry, with a particular focus on Tropical Geometry.