|
pfeifer

9. John von Neumann Lecture: Günter M. Ziegler (FU Berlin): Geometry vs. Topology: On 4-Polytopes and 3-Spheres

Donnerstag, 16.06.2016 16:30 im Raum M5
Mathematik und Informatik

There have 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 cases of 4-dimensional polytopes and 3-dimensional spheres. One crucial question is the “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)

John von Neumann image copyright: This image is a work of a United States Department of Energy (or predecessor organization) employee, taken or made as part of that person's official duties. As a work of the U.S. federal government, the image is in the public domain. Note: Unless otherwise indicated, this information has been authored by an employee or employees of the University of California, operator of the Los Alamos National Laboratory under Contract No. W-7405-ENG-36 with the U.S. Department of Energy. The U.S. Government has rights to use, reproduce, and distribute this information. The public may copy and use this information without charge, provided that this Notice and any statement of authorship are reproduced on all copies. Neither the Government nor the University makes any warranty, express or implied, or assumes any liability or responsibility for the use of this information.



Angelegt am Montag, 30.05.2016 14:07 von pfeifer
Geändert am Montag, 26.02.2018 17:03 von wuebbel
[Edit | Vorlage]

John von Neumann-Lecture
Highlights des FB10
Sonstige Vorträge
Kolloquium FB10 und Sondervorträge
Oberseminare und sonstige Vorträge
Konferenzen+Kolloquien