Newton-Okounkov bodies and Plucker coordinates

  • Charles Wang (Harvard University)
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.

Mirke Olschewski

MPI for Mathematics in the Sciences Contact via Mail

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