Algebraic Geometry Seminar - Graham Denham

January 15, 2019
Tuesday, January 22, 2019 - 3:00pm to 4:00pm
Math Tower 154
Graham Denham

Title: Arrangements, matroids, and CSM classes

SpeakerGraham Denham (Western University)

Abstract: The maximal likelihood variety of a complex hyperplane arrangement describes the set of critical points of all rational functions with poles and zeros on the arrangement. This variety's bidegree encodes the h-vector of the underlying matroid's broken circuit complex. I will describe work-in-progress with Federico Ardila and June Huh that constructs a tropical version of the maximal likelihood variety. This sheds some new light on the tropical characteristic classes of López de Medrano, Rincón, and Shaw, as well as on the h-vector of the broken circuit complex of an arbitrary matroid.

Seminar URLhttps://research.math.osu.edu/agseminar/

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