Convex Polytopes, SF2724,

Welcome to the master course on convex polytopes given VT2022. A convex polytope is the convex hull of finitely many points in a Euclidean space of finite dimension. They are important objects in combinatorics, algebra and optimisation. The course will mainly study polytopes from a combinatorial perspective.
It will be possible for PhD students to extend the course into a PhD course FSF3705.

Teachers:
Svante Linusson, linusson@kth.se
Alexander Lazar, alelaz@kth.se
Lorenzo Venturello, lven@kth.se
Benjamin Schröter, schrot@kth.se

Course literature will be chapters from the following three books that should all be available online to KTH and SU students via the library.

Lectures on Polytopes, Günter Ziegler, Springer Verlag. GTM (2012)
Computing the continuous discretly, Matthias Beck and Sinai Robins, Springer UTM, (2015)
Triangulations, Jesús A. De Loera, Jörg Rambau and Francisco Santos, Springer AACIM, Volume 25 (2010)

The lectures will be on Tuesday mornings 8.15-10.00, starting January 18. The examination will be three sets of homework to hand in and a written examination on June 7, 8.00-13.00. There will be non-mandatory labs. They will be designed to increase the students understanding of the topics covered and help with the homework. We will also suggest a list of additional exercises that we think will be good for the students to try to solve to learn the material.

Are you new at master level? We have prepared a short text on how to write a mathematical proof. It uses examples from discrete mathematics and gives a few important elements that are needed for a proper mathematical proof.

More detailed information about the course can be found by going to the appropriate module in the left margin.