SPEAKER: Andrew MacPherson (Tokyo)

TITLE: Tropical polynomials and real-valued functions

ABSTRACT: Elements of the tropical polynomial semiring - the free semiring on the max-plus semifield - can be represented as convex, piecewise-affine functions on Euclidean space with integer slopes. A well-known counterintuitive feature of this semiring is that this realisation is not faithful: many tropical polynomials represent the same function.