Tropical convex hulls of infinite sets

Algebra Seminar
Monday, April 13, 2020 - 3:00pm for 1 hour (actually 50 minutes)
Skiles 005
Cvetelina Hill – Georgia Tech –
Yoav Len

In this talk we will explore the interplay between tropical convexity and its classical counterpart. In particular, we will focus on the tropical convex hull of convex sets and polyhedral complexes. We give a vertex description of the tropical convex hull of a line segment and of a ray in Rn/R1 and show that tropical convex hull and classical convex hull commute in R3/R1. Finally, we prove results on the dimension of tropical convex fans and give an upper bound on the dimension of the tropical convex hull of tropical curves under certain hypothesis. 

The talk will be held online via Bluejeans, use the following link to join the meeting.