Lagrangian Geometry of Matroids

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Friday, March 5, 2021 - 15:30


Speaker Information
Graham Denham
University of Western Ontario

Abstract or Additional Information

Matroid theory is an abstraction of linear independence that has connections to various aspects of combinatorics, algebra, and geometry. I will outline a recent approach to the study of matroids that brings some tools from complex algebraic geometry into play, using ideas from tropical geometry. In particular, positivity properties of a Lagrangian model for a matroid can be used to settle two 1980's conjectures of Brylawski and Dawson on inequalities satisfied by certain sequences of integers associated with a matroid.

This is joint work with Federico Ardila and June Huh.