Matroid toric varieties in the Grassmannian - Alex Fink


by weebirationalist

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Date: Friday 4th October 2013
Speaker: Alex Fink
Title: Matroid toric varieties in the Grassmannian

Abstract: Matroids are a gadget which capture the combinatorics of linear dependence. A realization of a matroid is a vector conguration, which can be seen as a point of a Grassmannian. The protagonist of this talk will be the subvariety which is the closure of the orbit of this point under the torus action that scales the vectors. We will explain how a sizable number of matroid functions of algebraic and combinatorial interest are encoded in this subvariety, including the Tutte polynomial and some representation-theoretic and tropical-geometric data.


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