Geometry vs. Topology: On 4-Polytopes and 3-Spheres

Datum

25.01.2017

Zeit

17:00 - 18:00

Sprecher

Prof. Günter M. Ziegler

Zugehörigkeit

Dresdner Mathematisches Seminar Prof. Günter M. Ziegler Freie Universität Berlin, FB Mathematik und Informatik, Arbeitsgruppe Diskrete Geometrie

Serie

TUD Dresdner Mathematisches Seminar

Sprache

en

Hauptthema

Mathematik

Andere Themen

Mathematik

Host

Prof. Dr. A. Thom

Beschreibung

There has been massive efforts to understand the parameter spaces of convex polytopes -- and great results such as the “g-Theorem” were achieved on the way. On the other hand, key questions are still open, already and in particular for the case of 4-dimensional polytopes/3-dimensional spheres. One crucial question is “fatness problem” for 4-dimensional polytopes, which is a key to the question whether we should expect the same answers for convex polytopes (which are discrete-geometric objects) and for cellular spheres (a topological model), at least asymptotically. I will argue that we should not, and present first results in this direction: The sets of f-vectors of 3-spheres and of 4-polytopes do not coincide. (Joint work with Philip Brinkmann)

Letztmalig verändert: 19.01.2017, 11:28:33