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The Two Lives of the Grassmannian

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arxiv 2401.03684 v3 pith:KWWMKQPT submitted 2024-01-08 math.AG math.COmath.OC

Karel Devriendt , Hannah Friedman , Bernhard Reinke , Bernd Sturmfels This is my paper · ORCID
classification math.AGmath.COmath.OC
keywords grassmannianvarietyaffinealgebraapplicationscommutativeconnectcoordinates
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The real Grassmannian is both a projective variety (via Pl\"ucker coordinates) and an affine variety (via orthogonal projections). We connect these two representations, and we develop the commutative algebra of the latter variety. We introduce the squared Grassmannian, and we study applications to determinantal point processes in statistics.

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  1. Higher-Spin Correlators in dS

    hep-th 2026-08 accept novelty 8.0 of 10

    The five-point de Sitter higher-spin correlator is shown to be a spurious-singularity-free rational function organized by graph-theoretic orbits of the complete graph K5.

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