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UID:20221126T190345EST-8942rXoo9f@132.216.177.160
DTSTAMP:20221127T000345Z
DESCRIPTION:Title: The structure of hyperfinite subequivalence relations of
treed equivalence relations.\n\nAbstract: A large part of measured group
theory studies structural properties of countable groups that hold 'on ave
rage'. This is made precise by studying the orbit equivalence relations in
duced by free measurable actions of these groups on a standard probability
space. In this vein\, the amenable groups correspond to hyperfinite equiv
alence relations\, and the free groups to the treeable ones. In joint work
with R. Tucker-Drob\, we give a detailed analysis of the structure of hyp
erfinite subequivalence relations of a treed equivalence relation on a sta
ndard probability space\, deriving the analogues of structural properties
of amenable subgroups (copies of Z) of a free group. Most importantly\, ju
st like every such subgroup is contained in a unique maximal one\, we show
that even in the non-measure-preserving setting\, every hyperfinite subeq
uivalence relation is contained in a unique maximal one.\n\n \n\nThis info
rmation can also be found on the seminar website. We hope to see you all t
here.\n\nLink: https://mcgill.zoom.us/j/98910726246?pwd=VHlzTzdTZGtqcHVuWG
NKdys4d0FzQT09\n\nZoom ID: 989 1072 6246\n Password: delta\n
DTSTART:20210120T200000Z
DTEND:20210120T210000Z
SUMMARY:Anush Tserunyan (McGill University)
URL:https://www.mcgill.ca/mathstat/channels/event/anush-tserunyan-mcgill-un
iversity-327769
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