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SUMMARY:Yair Glasner: "Boomerang subgroups and the Nevo-Stuck-Zimmer theor
em"
DTSTART;VALUE=DATE-TIME:20220928T120000Z
DTEND;VALUE=DATE-TIME:20220928T130000Z
DTSTAMP;VALUE=DATE-TIME:20221130T135600Z
UID:indico-event-7763@indico.math.cnrs.fr
DESCRIPTION:Let be a countable group and its Chabauty space\, namely the
compact -space of all subgroups of . We call a subgroup a boomerang subg
roup if for every \, for some subsequence . Poincar\\'{e} recurrence impl
ies that -almost every subgroup of is a boomerang\, with respect to every
invariant random subgroup . I will discuss boomerang subgroups and in par
ticular\, I will prove that every boomerang subgroup in is either finite
and central or of finite index. This gives a simple new proof for the Nevo
-Stuck-Zimmer theorem in this case. More generally this method applies for
lattices of the form where is a Chevaley group over . This is a join
t work with Waltraud Lederle.\n\nhttps://indico.math.cnrs.fr/event/7763/
LOCATION:435 (UMPA)
URL:https://indico.math.cnrs.fr/event/7763/
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