Lagrangian Geometry of Matroids

Join Zoom Meeting
https://pitt.zoom.us/j/96734655135

Meeting ID: 967 3465 5135
Passcode: 937240
One tap mobile
+12678310333,,96734655135# US (Philadelphia)
8778535247,,96734655135# US Toll-free

Dial by your location
        +1 267 831 0333 US (Philadelphia)
        877 853 5247 US Toll-free
Meeting ID: 967 3465 5135
Find your local number: https://pitt.zoom.us/u/aM6ILDFrg

Friday, March 5, 2021 - 15:30

Zoom

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.