Gustavo Jasso: Triangulations of even-dimensional cyclic apeirotopes and representations of partially ordered sets


Abstract

Steffen Oppermann and Hugh Thomas discovered a beautiful connection between triangulations of even-dimensional cyclic polytopes and representations of certain partially ordered sets (satisfying some additional relations). In this talk I will review part of their work and then present an extension of their results to triangulations of even-dimensional cyclic apeirotopes. This is a report on joint work in progress with Julian Külshammer (Stuttgart).