Oberwolfach Reports

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Volume 14, Issue 4, 2017, pp. 2781–2845
DOI: 10.4171/OWR/2017/46

Published online: 2018-12-18

Spectral Structures and Topological Methods in Mathematical Quasicrystals

Michael Baake[1], David Damanik[2], Johannes Kellendonk[3] and Daniel Lenz[4]

(1) Universität Bielefeld, Germany
(2) Rice University, Houston, USA
(3) Université Lyon 1, Villeurbanne, France
(4) Friedrich-Schiller-Universität Jena, Germany

The mathematical theory of aperiodic order grew out of various predecessors in discrete geometry, harmonic analysis and mathematical physics, and developed rapidly after the discovery of real world quasicrystals in 1982 by Shechtman. Many mathematical disciplines have contributed to the development of this field. In this meeting, the goal was to bring leading researchers from several of them together to exchange the state of affairs, with special focus on spectral aspects, dynamics and topology.

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Baake Michael, Damanik David, Kellendonk Johannes, Lenz Daniel: Spectral Structures and Topological Methods in Mathematical Quasicrystals. Oberwolfach Rep. 14 (2017), 2781-2845. doi: 10.4171/OWR/2017/46