discipline

MSC in Mathematics, Pure Mathematics, Elective Course

subject

Discrete Geometry 2

lecturers

Dr. Károly Bezdek (professor),

Dr. Károly Böröczky (professor),

Dr. Károly Böröczki Jr. (associate professor),

Dr. Gábor Kertész (assistant professor).

credits

2

period

4th semester

curriculum

 Economic packings and coverings by translates of a given convex  body in Euclidean spaces (Minkowski and Rogers bound). Packing sof equal balls on spaces of constant curvature (the Rogers and the Coxeter-Böröczky simplex bounds). Covering Euclidean spaces by equal balls (the Coxeter-Few-Rogers bound), Delsarte method for packings of equal balls on spherical spaces.  Kabatjanskii-Levenstein bound for packing equal balls on spaces of constant curvature.

literature

C.A. Rogers: Packing and covering, Cambridge Univ. Press, 1964.

J.H. Conway,  N.J.A. Sloane: Sphere packings,  Lattices and Groups, Springer-Verlag, 1999.

form of tuition

Two hours of lecture per week.

mode of assessment

oral exam