Volumes of Lattice Path Matroids

Offered By: IMSA via YouTube

Course Description

Overview

Save Big on Coursera Plus. 7,000+ courses at $160 off. Limited Time Only!

Explore the fascinating world of lattice path matroids (LPMs) and their associated polytopes in this engaging lecture. Delve into the intricate relationship between LPM polytopes and order polytopes, and discover how this connection can be leveraged to develop a novel subdivision technique. Learn how to compute the refined volume of LPM polytopes using the h^*-vector, a powerful tool in combinatorial geometry. Gain insights from the collaborative research conducted by Carolina Benedetti, J. Valencia, and K. Knauer, bridging concepts from the University of Los Andes, University of Waterloo, and University of Barcelona.

Syllabus

Carolina Benedetti, University of Los Andes: Volumes of lattice path matroids

Taught by

IMSA

Related Courses

Theory Seminar - Face Numbers, Isabella Novik
Paul G. Allen School via YouTube Category Weight Estimates of Minimal Triangulations
Applied Algebraic Topology Network via YouTube Isabella Novik - Face Numbers - The Upper Bound Side of the Story
International Mathematical Union via YouTube The Geometry of Geometries - Matroid Theory, Old and New
International Mathematical Union via YouTube Stanford Lecture - Don Knuth - "A Conjecture That Had To Be True"
Stanford University via YouTube