Volumes of Lattice Path Matroids

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.