January 22, 2019
3:00PM - 4:00PM
Math Tower 154
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2019-01-22 16:00:00
2019-01-22 17:00:00
Algebraic Geometry Seminar - Graham Denham
Title: Arrangements, matroids, and CSM classes
Speaker: Graham 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 URL: https://research.math.osu.edu/agseminar/
Math Tower 154
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America/New_York
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Add to Calendar
2019-01-22 15:00:00
2019-01-22 16:00:00
Algebraic Geometry Seminar - Graham Denham
Title: Arrangements, matroids, and CSM classes
Speaker: Graham 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 URL: https://research.math.osu.edu/agseminar/
Math Tower 154
Department of Mathematics
math@osu.edu
America/New_York
public
Title: Arrangements, matroids, and CSM classes
Speaker: Graham 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 URL: https://research.math.osu.edu/agseminar/