Tropical Enumerative Geometry

From CRCG-Wiki

The aim of enumerative geometry is to count curves in a given space that satisfy some prescribed conditions. In classical algebraic geometry, enumerative problems are usually translated into questions about intersection products on moduli spaces of curves. Recently, some progress has been made in constructing both intersection theory and moduli spaces of curves in the realm of tropical geometry. The goal of this talk is to give an overview of recent results in this area and to compare the classical with the tropical theory.