# Algebraic Geometry Seminar

#### Skeletons, Degenerations, and Gromov-Witten Theory

**Speaker:**
Dhruv Ranganathan, Yale University

**Location:**
Warren Weaver Hall 1314

**Date:**
Tuesday, September 22, 2015, 3:30 p.m.

**Synopsis:**

Non-archimedean analytic geometry provides a precise geometric connection between tropical enumerative geometry and logarithmic Gromov--Witten theory. This framework leads to a simple new description of the algebraic moduli space of rational curves in toric varieties with prescribed contact orders. Applications include a new proof of Nishinou and Siebert's classical/tropical correspondence theorem and a new result on the structure of the tropical rational double Hurwitz cycle. Time permitting, I will explain how these ideas lead to a new perspective on the realization problem for embedded tropical curves in higher genus.