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UID:20250704T182711EDT-9675BA5CiD@132.216.98.100
DTSTAMP:20250704T222711Z
DESCRIPTION:Title: Measure equivalence rigidity of 2-dimensional Artin grou
 ps of hyperbolic type.\n\nAbstract: The notion of measure equivalence betw
 een countable groups was introduced by Gromov as a measure-theoretic analo
 gue of quasi-isometry. We study the class of 2-dimensional Artin groups of
  hyperbolic type from the viewpoint of measure equivalence\, and show that
  if two groups from this class are measure equivalent\, then their 'curve 
 graphs' are isomorphic. This reduces the question of measure equivalence o
 f these groups to a combinatorial rigidity question concerning their curve
  graphs\; in particular\, we deduce measure equivalence superrigidity resu
 lts for a class of Artin groups whose curve graphs are known to be rigid f
 rom a previous work of Crisp. There are two main ingredients in the proof 
 of independent interest. The first is a more general result concerning bou
 ndary amenability of groups acting on certain CAT(-1) spaces. The second i
 s a structural similarity between these Artin groups and mapping class gro
 ups from the viewpoint of measure equivalence. This is joint work with Cam
 ille Horbez.\n\nLink: https://mcgill.zoom.us/j/98910726246?pwd=VHlzTzdTZGt
 qcHVuWGNKdys4d0FzQT09\n\nZoom ID: 989 1072 6246\n	Password: delta\n
DTSTART:20210210T200000Z
DTEND:20210210T210000Z
SUMMARY:Jingyin Huang (Ohio State University)
URL:/mathstat/channels/event/jingyin-huang-ohio-state-
 university-328333
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