Discrete CATS Seminar

Date: 
02/25/2019 - 2:00pm
Location: 
745 Patterson Office Tower
Speaker(s) / Presenter(s): 
McCabe Olsen, Ohio State

Speaker:  McCabe Olsen, Ohio State University

Title:  Signed Birkhoff polytopes and the orthant-lattice preservation property

Abstract:

Given a d-dimensional lattice polytope P, we say that P has the orthant-lattice preservation property (OLP) if the subpolytope obtained by restriction to any orthant is a lattice polytope. While this property feels somewhat contrived, it can actually be quite useful in verification of discrete geometric properties of P. In this talk, we will discuss a number of results for the existence of triangulation and the integer decomposition property for reflexive OLP polytopes. One such polytope which fits into the program is a type-B analogue of the Birkhoff polytope and its dual polytope, the investigation of which led to interest in this property. This is based on joint work with Florian Kohl (Aalto University).

Type of Event (for grouping events):
X
Enter your linkblue username.
Enter your linkblue password.
Secure Login

This login is SSL protected

Loading