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SUMMARY:On Metrics for Quandles and Schreier Graphs
DTSTART:20260911T091500Z
DTEND:20260911T101500Z
DTSTAMP:20260910T120400Z
UID:indico-event-17070@indico.math.cnrs.fr
DESCRIPTION:Speakers: Kohei IWAMOTO (Ritsumeikan University)\n\nA quandle 
 is an algebraic structure that generalizes the conjugation operation in gr
 oups and has been studied in connection with knot theory\, symmetric space
  theory\, and related areas. On the other hand\, in geometric group theory
 \, Cayley graphs and word metrics associated with finitely generated group
 s are fundamental tools for studying the large-scale geometry of groups.\n
  \nIn this talk\, with the aim of introducing ideas from geometric group 
 theory into quandle theory\, we construct Schreier graphs from natural gro
 up actions associated with quandles and introduce metrics on their connect
 ed components.\n \nIn the first part of the talk\, we recall the definiti
 on of a quandle and present several examples. We introduce Schreier graphs
 \, which generalize Cayley graphs\, and explain the metrics induced by the
 se graphs. We also introduce the notion of quasi-isometry and show that ea
 ch connected component of a quandle naturally determines a quasi-isometry 
 class. \n \nThis talk is based on joint work with Ryoya Kai (Nara Univer
 sity of Education) and Yuya Kodama (Kagoshima University).\n\nhttps://indi
 co.math.cnrs.fr/event/17070/
LOCATION:112 (ICJ)
URL:https://indico.math.cnrs.fr/event/17070/
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