Code: BMETE94MM02 (3/1/0/V/5);
Semester: 2025/26/1;
Language: English;
Instructor: Dr. Péter Vrana (E0 course)
Attendance requirements
For the signature, students are required to attend at least 70% of the lectures.
Grading
The grade is determined based on an oral exam. Please note that a signature is required in order to be eligible for taking an exam.
Schedule
Wednesdays 12:15–13:45 and 14:00–15:30
Planned topics: (to be updated as the semester progresses)
- September 10, Affine subspaces and convex sets
- September 17, Polytopes and polyhedral sets
- September 24, Algebra of convex sets, valuations, Euler characteristic
- October 1, Face structure
- October 8, Graphs of polytopes
- October 15, Incidence problems
- October 22, Arrangements
- October 29
- November 5
- November 12
- November 19, no class, Students' Scientific Association Conference (TDK)
- November 26
- December 3
- December 10
Lectures
The latest version of the lecture notes may be found here. (Updated: October 6)
Consultation
By appointment.
Recommended literature
- The lecture notes for the convex geometry course contain additional details on some of the topics (including many proofs omitted in this course).
- Alexander Barvinok: A Course in Convexity, Graduate Studies in Mathematics 54, AMS, Providence RI, USA, 2002.
- Jiří Matoušek: Lectures on Discrete Geometry, Graduate Texts in Mathematics 212, Springer-Verlag, New York NY, USA, 2002.
- Günter M. Ziegler: Lectures on Polytopes, Graduate Texts in Mathematics 152, Springer-Verlag, New York NY, USA, 1998.
- Jiří Matoušek: Using the Borsuk-Ulam Theorem, Lectures on Topological Methods in Combinatorics and Geometry, Springer-Verlag, New York NY, USA, 2003.
- Szabó László: Konvex geometria. egyetemi jegyzet. ELTE TTK, Budapest, 1996. (in Hungarian)
- G. Horváth Ákos, Lángi Zsolt: Kombinatorikus geometria, egyetemi jegyzet, Polygon, Szeged, 2012. (in Hungarian)