Laboratoire d'informatique de l'École polytechnique

Exposé par Cesar Ceballos: «Permutahedral matchings, zonotopal tilings, and d-partitions!»

Speaker: Cesar Ceballos
Location: Salle Philippe Flajolet, LIX
Date: Mer. 20 nov. 2019, 10h30-11h30

Ce mercredi à 10h30 nous aurons le plaisir d'écouter Cesar Ceballos (Université de Vienne) nous parler de «Permutahedral matchings, zonotopal tilings, and d-partitions!».

Le résumé est disponible ci-dessous.

Le programme du séminaire est disponible ici : https://galac.lri.fr/pages/combi-seminar.html

Résumé: In this talk I will present higher dimensional generalizations of the following three concepts:

  1. perfect matchings of a hexagonal tiling,
  2. rhombus tilings of a hexagon, and
  3. plane partitions.

I will show that these generalizations are equivalent under certain specific bijections. The generalizations of (b) and (c) have been already studied in the literature but, as far as I know, the generalization of (a) appears to be new. This is work in progress based on discussions with Tomack Gilmore and Vivien Ripoll.