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Subdivisions, valuations, and the rank function

Mia Smith
Monday, February 3, 2025
4:00-5:00 PM
3866 East Hall Map
Valuations are a classical tool in convex geometry; examples include the Euler characteristic, Lebesgue measure, and mixed volume. However, in the past two decades, valuations have also gained prominence in the theory of matroids. As every matroid gives rise to a matroid polytope, one can develop a theory of subdivisions and valuations for matroids. In this talk, we'll look at a family of valuations which serve as building blocks for many others, and with this family, we'll prove that the rank of the subsets of a matroid is a valuation.
Building: East Hall
Event Type: Workshop / Seminar
Tags: Mathematics
Source: Happening @ Michigan from Student Combinatorics Seminar - Department of Mathematics, Department of Mathematics