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UID:20250917T045820EDT-7955BdH8SU@132.216.98.100
DTSTAMP:20250917T085820Z
DESCRIPTION:Title: Garside shadows and biautomatic structures in Coxeter gr
 oups\n\nAbstract: In 2022\, Osajda and Przytycki showed that any Coxeter g
 roup $W$ is biautomatic. Key to their proof is the notion of voracious pro
 jection of an element $g \in W$\, which is used iteratively to construct a
  biautomatic structure for $W$: the voracious language. In this talk\, I w
 ill generalize these two notions by defining them for any Garside shadow $
 B$ in a Coxeter system $(W\,S)$. This leads to the result that any finite 
 Garside shadow in $(W\,S)$ can be used to construct a biautomatic structur
 e for $W$. In particular\, for the Garside shadow $L$ of low elements\, th
 e biautomatic structure obtained corresponds to the original voracious lan
 guage of Osajda and Przytycki. These results answer a question of Hohlweg 
 and Parkinson.\n\nWe will gather for teatime in the lounge at 4pm after th
 e talk.\n
DTSTART:20250917T190000Z
DTEND:20250917T200000Z
LOCATION:Room 1104\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue
  Sherbrooke Ouest
SUMMARY:Fabricio Dos Santos (ºÚÁϲ»´òìÈ University)
URL:/science/channels/event/fabricio-dos-santos-mcgill
 -university-367749
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