School Seminars and Colloquia

Combinatorial problems of (quasi-)crystallography

by M Baake

Institution: Mathematics, Uni. Bielefeld
Date: Thu 24th February 2005
Time: 3:15 PM
Location: Room 213, Richard Berry Building, The University of Melbourne

Abstract: Lattices are very well studied, and offer a number of
combinatorial problems
concerning their own structure that can be solved exactly in terms of
suitable generating
functions. In particular, in dimensions 2 and 4, the connection to
algebraic number theory
provides a powerful tool that leads to Dirichlet series and Dedekind
zeta functions.

In this talk, we shall review some examples, with special emphasis on
how to generalize and
solve them also for non-periodic patterns such as those used in the
description of perfect