Vertices of balls: orders, codes, and tropical geometry

Mima Stanojkovski
Università degli Studi di Trento

Date(s) : 26/01/2023   iCal
12 h 00 min - 13 h 00 min

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 a 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.
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Rendez-vous à côté de la machine à café au rez-de-chaussée de l’ancienne BU.

Campus de Luminy, Marseille


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