Anders Nedergaard Jensen
University of Aarhus, Denmark

Title: Tropical varieties
Abstract:
In tropical mathematics we consider the max-plus algebra (R,max,+) where polynomial functions become piecewise linear. In this talk we will recall the definition of the Groebner fan of a polynomial ideal and see why it makes sense to define the tropical variety of an ideal as a certain subfan of the Groebner fan. While other equivalent definitions exist, this one immediately gives one (slow) algorithm for computing the tropical variety through the use of "Groebner walk" techniques.
The talk will be a follow-up to Hannah Markwig's talk last week and will prepare the audience for my presentation in the upcoming workshop on software for algebraic geometry where I will present algorithms and the software Gfan for computing tropical varieties.

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