Vertices of balls: orders, codes, and tropical geometry

  • Mima Stanojkovski (University of Aachen + MPI MiS, Leipzig)
E1 05 (Leibniz-Saal)


Balls in the tropical metric are a particular example of polytropes, namely tropical polytopes that are at the same time convex in the usual sense. Moreover, tropical balls can also be seen as one-apartment slices of balls in Bruhat-Tits buildings. So balls in this context have vertices and we will see how these vertices play an important role in applications to representation theory and algebraic coding theory. I will be reporting on joint work with Yassine El Maazouz, Marvin Hahn, Gabriele Nebe, and Bernd Sturmfels.

Mirke Olschewski

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