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UID:6731@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20200609T110000
DTEND;TZID=Europe/Paris:20200609T120000
DTSTAMP:20241120T201950Z
URL:https://www.i2m.univ-amu.fr/evenements/periodicity-of-tilings-of-baums
 lag-solitar-groups/
SUMMARY:Etienne Moutot (LIP\, ENS de Lyon): Periodicity of tilings of Baums
 lag-Solitar groups (webinaire)
DESCRIPTION:Etienne Moutot: WEBINAIRE\n\nÉtienne Moutot (ENS Lyon)\nPeriod
 icity is a key property of tilings\, and express the fact that a tiling ma
 y repeat itself.\nWhen tiling a surface that is more complicated than a li
 ne (ℤ)\, there are different definitions of periodicity that are not equ
 ivalent. We will be interested in what is called weak and strong periodici
 ty and aperiodicity.\nIn this presentation\, we look at tilings of Baumsla
 g-Solitar groups BS(m\,n)\, and we show that for BS(1\,n) and BS(n\,n) (th
 e residually finite case)\, there exists both weakly and strongly aperiodi
 c tilesets.\nAubrun and Kari presented a weakly aperiodic tileset for BS(m
 \,n) groups\, and the starting point of our work was to remark that their 
 tileset is in fact strongly aperiodic for BS(1\,n). Then we were able to b
 uild a weakly aperiodic tileset for BS(1\,n) based on substitutions on wor
 ds\, and a strongly aperiodic one for BS(n\,n).\nAll of this is a joint wo
 rk with Julien Esnay.
CATEGORIES:Séminaire,Ernest
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