Michael Joswig: Matroids from hypersimplex splits

Abstract

A class of matroids is introduced which is very large as it strictly contains
all paving matroids as special cases. As their key feature these split matroids
can be studied via techniques from polyhedral geometry. It turns out that the
structural properties of the split matroids can be exploited to obtain new
results in tropical geometry, especially on the rays of the tropical Grassmannians.
This is joint work with Benjamin Schröter.