WHEN: 12.02.15 at 14:15
WHERE: Seminar Room, Arnimallee 2, FU Berlin

Speaker: Philip Brinkmann (FU Berlin)

Flag Vector Spaces of Polytopes, Spheres and Eulerian Lattices

This talk deals with open questions concerning the flag vector spaces of
polytopes, strongly regular spheres and Eulerian lattices. The latter two
are natural generalizations of polytopes, since polytope boundaries are
strongly regular spheres, and the combinatorial structure behind forms
Eulerian lattices. The open questions discussed concern characteristics
and description of the sets of flag-vectors that belong to these objects.
Emphasis lies here on the distinguishing of the sets of flag-vectors of
the three classes of objects. For dimension $d=4$ this relates to the
parameters fatness and complexity, which are introduced and studied.