Inhaltspezifische Aktionen

Introduction to approximate lattices

Tobias Hartnick


04.04.2019 von 10:00 bis 11:30 (Europe/Berlin / UTC200)


Hörsaal des Mathematischen Instituts, 1. OG, Raum 111

Termin zum Kalender hinzufügen



Uniform lattices in locally compact groups give rise to periodic tilings with compact tiles, and general lattices give rise to periodic tilings with (possibly non-compact) finite-volume tiles. Approximate lattices were introduced by Michael Björklund and myself to have a similar algebraic model for aperiodic tilings like the famous Penrose tiling and its hyperbolic analogs.


In this talk I will introduce approximate lattice and discuss their similarities with and differences from actual lattices. A particular focus will be on the hull dynamical systems of approximate lattices. No previous knowledge about approximate groups or aperiodic order will be assumed.