Lecturer: Dr. Johannes Schmitt
Time and Place: Friday, 10:15 - 12:00, Room Y27H25
Further information can be found in the UZH Course Catalogue.
A polytope is the convex hull of finitely many points in real d- dimensional space. Examples include triangles in the plane, the five platonic solids in three-dimensional space or the so-called permutohedron in d dimensions. Polytopes and other convex objects like cones and polyhedra appear in many areas of mathematics. And even though their definition is simple, it is possible to ask many interesting questions about them, such as:
Here you find a preliminary list of topics for the talks.
Here is the preliminary assignment of topics and dates:
Topic | Date | Student |
---|---|---|
Basic definitions | 23.09 | Fadil Osmani |
Further examples and main theorems | 30.09 | Argetim Beluli |
Proofs of main theorems | 07.10 | Cagri Camoglu |
Farkas lemmas and further basic results | 14.10 | Yonatan Christoph |
Faces of polytopes | 21.10 | Jenny Pletscher |
Polarity and the representation theorem for polytopes | 28.10 | Blerim Alimehaj |
Platonic solids | 04.11 | Anna Glapka |
Linear programming and related concepts | 11.11 | Weronika Wawrzyniak |
More on graphs and polytopes | 18.11 | Philine Schönenberger |
Polyhedral complexes and Schlegel diagrams | 25.11 | Chiara Romano |
Review and exercise session | 02.12 | Chen Ping |
The simplex algorithm | 09.12 | Özgür Özsu |
Further algorithms and practical implementations | 16.12 | Delia Schüpbach |
Ehrhart theory | 23.12 | Mattia Bottoni |
In order to pass the seminar and get credit points, you have to: