discipline

MSC in Mathematics, Pure Mathematics, Elective Course

subject

Mathematical Programming and Convex Geometry

lecturers

Dr. Károly Bezdek (professor),

Dr. Károly Böröczky (professor),

Dr. Károly Böröczki Jr. (associate professor),

Dr. Gábor Kertész (assistant professor).

credits

2

period

3rd semester

curriculum

Moment theorem in the Euclidean plane and on the sphere, isoperimetric inequality for three-polytopes of given number of faces, Versions of the moment theorem in information theory, approximating of smooth convex bodies by polytopes of given number of vertices or facets, Random polytopes in convex bodies, impossibility of good approximation by polynomial number of vertices, the Kannan-Lovász randomised volume approximation

literature

J. Matousek: Lectures on discrete geometry, Springer-Verlag, 2002.

P.M. Gruber: Convex and Discrete Geometry. Springer-verlag, 2006.

form of tuition

Two hours of lecture per week.

mode of assessment

oral exam