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
    ORCID

  • Lukas Kühne

    Universität Bielefeld, Germany
    ORCID

  • Leonid Monin

    EPFL, Lausanne, Switzerland
    ORCID

  • Josephine Yu

    Georgia Institute of Technology, Atlanta, USA
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Abstract

An alcoved polytope is a polytope whose facet normal are all in direction of type 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