Statut | Confirmé |
Série | PT-IHES |
Domaines | hep-th |
Date | Jeudi 1 Juin 2023 |
Heure | 14:00 |
Institut | IHES |
Salle | Amphithéâtre Léon Motchane |
Nom de l'orateur | Kulp |
Prenom de l'orateur | Justin |
Addresse email de l'orateur | |
Institution de l'orateur | Perimeter Institute, Waterloo et IHES |
Titre | Self-Similar Quasicrystals and Hyperbolic Honeycombs |
Résumé | Most people are familiar with periodic tessellations and lattices; from the patio floor at the reception building to their favourite spin systems. In this talk, I will discuss two less familiar families of tessellations and their possible connections to high energy physics, condensed matter physics, and mathematics: hyperbolic tessellations and quasicrystals. After introducing the basics of regular hyperbolic lattices, I will survey constructions and surprising properties of quasicrystals (like the Penrose tiling), including their classically forbidden symmetries, long-range order, and self-similar structure. Inspired by the AdS/CFT correspondence, I will describe a mathematical relationship between hyperbolic lattices in (D+1)-dimensions and quasicrystals in D-dimensions, as well as the resolution of a conjecture by Bill Thurston. Based on work to appear with Latham Boyle. |
Numéro de preprint arXiv | |
Commentaires | |
Fichiers attachés |
Pour obtenir l' affiche de ce séminaire : [ Postscript | PDF ]
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[ English version ] |