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The two lives of the Grassmannian

Bernd Sturmfels, MPI Leipzig
Friday, June 7, 2024 - 10:00am to 11:00am
Gates 271
Bernd Sturmfels
Bernd Sturmfels

The Grassmannian parametrizes linear subspaces of a real vector space. It is both a projective variety (via Plücker coordinates) and an affine variety (via orthogonal projections). We examine these two representations through the lenses of linear algebra, commutative algebra, and statistics.

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