Wachspress Geometry

The workshop will take place on Tuesday and Wednesday, September 24 and 25, in SG 111 in the Seminargebäude of the University of Leipzig right next to the Mensa am Park and the math department in the Augusteum.

The workshop is supported by the DFG Priority Program SPP 2458 Combinatorial Synergies.


Wachspress Geometry is a young subject built on a circle of ideas that are currently emerging from Wachspress's work on generalized barycentric coordinates. At its core it is the study of Wachspress objects, a family of closely related mathematical objects defined on convex polytopes. A central object, the Wachspress coordinates, have their origin as generalized barycentric coordinates in geometric modelling. They have resurfaced in a surprising variety of contexts, including algebraic and convex geometry as well as polyhedral combinatorics and statistics. The adjoint polynomial associated to Wachspress coordinates is the main ingredient for the canonical form of a convex polytope. As such it establishes Wachspress Geometry as one of the best understood instances of Positive Geometry. Most recently, Wachspress coordinates were also found to derive from a polytope parameter of higher rank now known as the Izmestiev matrix, which in turn links the subject to rigidity theory and spectral graph theory.

The workshop has the following goals:
If you are interested in participating at the workshop, please send an email to Rainer Sinn at .

Organizers

Rainer Sinn
Martin Winter

Confirmed Speakers

Kathlén Kohn
Elia Mazzucchelli
Dmitrii Pavlov
Raman Sanyal
Bernd Schulze
Bernd Sturmfels
Louis Theran

Program

to be announced