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Charles Wang (Harvard University): Newton-Okounkov bodies and Plucker coordinates

Ort: MPI für Mathematik in den Naturwissenschaften Leipzig, Inselstr. 22, E1 05 (Leibniz-Saal)

Plucker coordinates provide a concrete and useful way to understand the Grassmannians $Gr(k,n)$ parametrizing k-dimensional subspaces of an n-dimensional vector space. In this talk, we will explore Plucker coordinates for more general homogeneous spaces, and for certain homogeneous spaces, give a representation-theoretic computation to find a family of valuations for which the Plucker coordinates form a Khovanskii basis, and hence correspond to lattice points of a Newton-Okounkov body. (This is joint work in progress with Peter Spacek.)

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Beginn: 10. August 2022 14:00

Ende: 10. August 2022 15:00