Published on *Max Planck Institute for Mathematics* (http://www.mpim-bonn.mpg.de)

Posted in

- Seminar [1]

Organiser(s):

Gaetan Borot, Alessandro Giacchetto
Date:

Tue, 2019-10-08 (All day) - Wed, 2019-11-13 (All day) Website: https://sites.google.com/view/integerpointsonpolyhedra/home

We will introduce the algebra of (indicator functions) of polyhedra and study its properties. Linear forms on this algebra produce functions on the set of polytopes (*i.e.* bounded polyhedra), that are compatible with set-theoretic decompositions of polyhedra. For polytopes, the lattice point count or the volume are examples of such linear forms.

**Links:**

[1] http://www.mpim-bonn.mpg.de/taxonomy/term/41

[2] http://www.mpim-bonn.mpg.de/node/4234

[3] http://www.mpim-bonn.mpg.de/node/9800/program?page=last

[4] http://www.mpim-bonn.mpg.de/node/9800/abstracts