Class Central is learner-supported. When you buy through links on our site, we may earn an affiliate commission.

YouTube

Cynthia Vinzant - Log Concave Polynomials and Matroids

Hausdorff Center for Mathematics via YouTube

Overview

Save Big on Coursera Plus. 7,000+ courses at $160 off. Limited Time Only!
Explore the fascinating world of log concave polynomials and matroids in this 58-minute lecture by Cynthia Vinzant at the Hausdorff Center for Mathematics. Delve into the functional properties of real multivariate polynomials and their applications in conic programming. Discover recent developments in matroid theory, including the strong log concavity of basis-generating polynomials and their implications for independence complex face numbers and random walk mixing times. Examine the connection between tropicalizations of these polynomials and M-concave functions. Learn about the combinatorial and geometric structures underlying this class of polynomials and their recent applications. The lecture covers topics such as multivariable calculus, logconcave coefficients, Markov chains, high-dimensional expanders, and polytope blind techniques, providing a comprehensive overview of this cutting-edge research area.

Syllabus

Introduction
Multivariable calculus
Logconcave coefficients
Proof of logconcave
Markov chains
Highdimensional expanders
Polytope blind
Summary

Taught by

Hausdorff Center for Mathematics

Reviews

Start your review of Cynthia Vinzant - Log Concave Polynomials and Matroids

Never Stop Learning.

Get personalized course recommendations, track subjects and courses with reminders, and more.

Someone learning on their laptop while sitting on the floor.