discipline

MSC in Mathematics, Pure Mathematics, Elective Course

subject

Geometry of Numbers

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

Successive minima, Minkowski’s first and second theorem, Mahler’s selection theorem, Minkowski-Hlawka theorem. Extremal bodies, the Venkov-McMullen characterization of parallelohedra. Reduction theory (Hermite, Minkowski and Lovász reduced basis). Covering radius. Quadratic forms. Number of lattice points in lattice polytopes, Pick’s formula, Ehrhart’s formula.

literature

P.M. Gruber, C.G. Lekkerkerker: Geometry of numbers. North-Holland, 1987.

form of tuition

Two hours of lecture per week.

mode of assessment

oral exam