Split matroids in tropical geometry
Speaker: Benjamin Schröter
Date and time: June 17, 2022, 12:00-13:00
Abstract: Tropical geometry is a tool to study a mathematical object via polyhedral geometry. An important example in tropical geometry are tropical Grassmannians and Dressians, i.e., space of tropicalized linear spaces and the closely related space of valuated matroids. These two families of tropical moduli spaces are tightly bound to the combinatorics of matroids. In work with Joswig we introduced split matroids to study these moduli spaces.
In my talk I will introduce basics of tropical geometry by focusing on these moduli spaces. Further, I present and a polyhedral perspective on split matroids and their role in tropical geometry, including recent results.