The University of Michigan Combinatorics Seminar
Aiming at the main results of my paper "First steps in tropical intersection theory" (joint with Lars Allermann, arXiv), we will make a small journey through tropical geometry. On our way, we will meet polyhedral fans and piecewise linear functions on them. To the latter we will assign a subfan of codimension of which one can think as the weighted set of tropical zeros and poles. This is the basic ingredient for our intersection theory. We will try to motivate some of our definitions and statements by explaining the connections to classical algebraic geometry. As we will focus on giving ideas rather than all technical details, the talk hopefully requires no previous knowledge of tropical or algebraic geometry.