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Realization spaces of polytopes and oriented matroids

By Arnau Padrol

Appears in collection : Current trends in representation theory, cluster algebras and geometry / Théorie des représentations, algèbres amassées et géométrie

This is the second lecture on a mini-course on polytopal realizations of combinatorial structures. We discuss realization spaces of polytopes and oriented matroids and Mnëv's universality theorem, showing that it is hard to decide if a given poset is the face lattice of a convex polytope.

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  • DOI 10.24350/CIRM.V.20115603
  • Cite this video Padrol, Arnau (27/11/2023). Realization spaces of polytopes and oriented matroids. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20115603
  • URL https://dx.doi.org/10.24350/CIRM.V.20115603

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