19-25 June 2011
Bled, Slovenia
Europe/Ljubljana timezone
Permutation polytopes
Presented by Prof. Barbara baumeister BAUMEISTER
Type: Oral presentation
Track: Polytopes and Incidence Geometries
Content
I will report on joint work with C. Haase, B. Nill and A. Paffenholz.
The {\em Birkhoff Polytop}, also known as {\em assignement polytope}, is one of the most studied polytopes. It is the convex hull of all permutation matrices.
In the talk I will propose the systematic study of the
{\em Permutation polytopes}. They are the convex hull of a subgroup of the group of $n\times n$ permutation matrices.
We will see examples, discuss different notations of equivalence and present some structural results.
As an application we will classify the $\leq 4$-dimensional faces
of the permutation polytopes.
Place
Location: Bled, Slovenia
Address: Best Western Hotel Kompas Bled