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

MPI for Mathematics in the Sciences Contact via Mail

Upcoming Events of this Seminar