Tropical convex hulls of polyhedral sets
In this talk I will present some recent results on the interplay between tropical and classical convexity. In particular, I will focus on the tropical convex hull of convex sets and fans and their explicit computation. This will lead to a lower bound on the degree of tropical fan curves and to a description of tropically convex cones. This is joint ongoing work with Cvetelina Hill and Faye Pasley Simon.