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SUMMARY:Invariant Random Subgroups in groups acting on rooted trees
DTSTART:20190523T140000
DTEND:20190523T150000
DTSTAMP:20260407T194700Z
UID:afed740da8bd4ad7806db1fa975d4e60557c2838973ec5c06c495cdb
CATEGORIES:Conferences - Seminars
DESCRIPTION:László Márton Tóth (EPFL)\nAn invariant random subgroup (I
 RS) of a countable group is a conjugation invariant probability distributi
 on on the space of subgroups. There have been a number of recent papers st
 udying IRS’s in various types of groups: lattices in Lie groups\, the gr
 oup of finitary permutations of a countable set\, free groups\, lamplighte
 rs and more.\nIn this talk we will consider IRS’s in groups acting of ro
 oted trees\, in particular the group of finitary automorphisms of a d-ary 
 rooted tree. We exploit the action of these groups on the boundary of the 
 tree to understand fixed point sets of ergodic IRS’s. We show that in th
 e fixed point free case IRS’s behave like the ones in lattices in Lie gr
 oups\, but if there are fixed points they resemble the ones in the finitar
 y permutation group. Joint work with Ferenc Bencs.
LOCATION:MA A1 12 https://plan.epfl.ch/?room=MAA112
STATUS:CONFIRMED
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