Technische Universitaet Kaiserslautern

Title: Counting rational curves in P^2 using tropical geometry

Abstract: Tropical geometry is a rapidly developing field of algebraic geometry with important applications in quite distinct areas of pure and applied mathematics. In this talk, we give a short introduction to the theory of tropical curves and discuss its applications to the enumerative geometry of plane curves, with a focus on computing the Kontsevich number N_d of rational plane curves of fixed degree d interpolating an appropriate number of given points in general position.

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