Abstract:
There is a general framework to extract an affine variety from a subbundle of a trivial bundle on a projective variety. Many nice properties of the affine variety are tied to nice properties of the subbundle. This is the so-called "geometric method", employed by Kempf, Lascoux, Weyman and others to study determinantal and Schubert varieties. In this talk I'll present a down-to-earth example of this method, that will recover results on Ardila and Boocher on the "Schubert variety" of a linear subspace. I'll show how the geometric method and a recent construction of Eur, Huh and Larson gives rise to a new, shellable, simplicial complex derived from a matroid whose h-vector is the f-vector of the matroid. This latter result is joint with Dania Morales.
Note: This talk begins with a pre-seminar (aimed at graduate students) at 4:00–4:30. The main talk starts at 4:40.
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Meeting ID: 915 4733 5974