Mini-Workshop: Alcoved Polytopes in Physics and Optimization

Nicholas Early; Lukas Kühne; Leonid Monin; Josephine Yu

doi:10.4171/owr/2025/12

JournalsowrVol. 22, No. 1pp. 531–558

Mini-Workshop: Alcoved Polytopes in Physics and Optimization

Nicholas Early
Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig, Germany
- MathSciNet
- ORCID
Lukas Kühne
Universität Bielefeld, Germany
- MathSciNet
- ORCID
Leonid Monin
EPFL, Lausanne, Switzerland
Josephine Yu
Georgia Institute of Technology, Atlanta, USA
- MathSciNet

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Abstract

An alcoved polytope is a polytope whose facet normal are all in direction of type $A$ roots. This fundamental class of polytopes has ample applications in for instance tropical geometry, statistics and algebra. The mini-workshop showcased various recent developments related to alcoved polytopes and their generalizations with a particular focus on their connections to physics and optimization.

Cite this article

Nicholas Early, Lukas Kühne, Leonid Monin, Josephine Yu, Mini-Workshop: Alcoved Polytopes in Physics and Optimization. Oberwolfach Rep. 22 (2025), no. 1, pp. 531–558

DOI 10.4171/OWR/2025/12