Tropical convex hulls of polyhedral sets

Student Algebraic Geometry Seminar
Friday, September 18, 2020 - 9:00am for 1 hour (actually 50 minutes)
Microsoft Teams Meeting
Cvetelina Hill – Georgia Tech –
Cvetelina Hill

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Abstract: In this talk we introduce basic definitions in tropical convexity, and give an overview of some of the main results. The focus will then shift to joint work with Faye Pasley Simon and Sara Lamboglia on the interaction between tropical and ordinary convex hull. We will introduce results including the characterization of tropically convex polyhedra and give a lower bound on the degree of a fan tropical curve using only tropical techniques. The talk will conclude with some more recent results and several open questions.