Course teacher(s)
Samuel FIORINI (Coordinator)ECTS credits
5
Language(s) of instruction
english
Course content
Basics of polytopes (lattice of faces, facets, etc.). Properties of the graph of a polytope. Steinitz Theorem on three-dimensional polytopes. Hirsch Conjecture, counter-example of Santos. McMullen Upper Bound Theorem on the number of facets. Gale Transforms and polytopes with few vertices. 0/1 polytopes. Group of a polytope, regular polytopes.
Objectives (and/or specific learning outcomes)
After completing the teaching unit, the student will have a general knowledge of the theory of polytopes. Moreover, he will be able to solve problems on polytopes and to expose in a clear way his/her solutions.
Teaching methods and learning activities
Lectures, exercises and personal work.
References, bibliography, and recommended reading
B. Grünbaum, Convex Polytopes (2nd ed.), Springer-Verlag, 2003;
G.M. Ziegler, Lectures on Polytopes (6th print.), Springer-Verlag, 2006
Course notes
- Université virtuelle
Other information
Contacts
Samuel FIORINI : Samuel.Fiorini@ulb.be
Campus
Plaine
Evaluation
Method(s) of evaluation
- written examination
written examination
Written exam; oral exam if necessary.
Mark calculation method (including weighting of intermediary marks)
The mark of the written examen, except if the student decides to take the oral exam--in which case the oral exam counts for a third of the final mark.
Language(s) of evaluation
- french
- english