Topology of tropical varieties

Abstract: It was recently shown that the top Betti number of tropical varieties can exceed the upper bounds of those of complex varieties of the same dimension and degree. This is because, unlike complex varieties, the upper bounds of the top Betti numbers for tropical varieties also depend on the codimension.

In this talk, we will recall the maximal constructions known so far and show that in the case of cubic tropical curves, this construction is maximally optimal.

This is a joint work with Benoit Bretrand and Erwan Brugallé.

algebraic geometrycombinatorics

Audience: researchers in the topic

(LAGARTOS) Latin American Real and Tropical Geometry Seminar

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