Speaker: Dustin Cartwright (Yale)

Title: Divisors on tropical varieties

Abstract: Tropical geometry is a collection of techniques for studying algebraic geometry via the combinatorial properties of their degenerations. I will begin by reviewing the case of tropical curves, i.e. graphs, and the definitions of divisor, rank, and linear equivalence on a graph. Then I will present some preliminary work on generalizations to divisors on simplicial complexes, which play the role of higher dimensional tropical varieties.