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DTSTART:20250309T070000
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UID:69f8c5a5a3c55
DTSTART;TZID=America/Toronto:20251127T160000
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URL:https://uwaterloo.ca/pure-mathematics/events/analysis-seminar-210
SUMMARY:Analysis Seminar
CLASS:PUBLIC
DESCRIPTION:GUILLAUME DUMAS\, UNIVERSITY OF MARYLAND\n\n_Boundedness of wea
 k quasi-cocycles for higher rank simple groups_\n\nIf G is a second counta
 ble locally compact group\, the\nDelorme-Guichardet theorem states that Ka
 zhdan property (T) is\nequivalent to the fixed-point property for continuo
 us affine isometric\nactions on Hilbert spaces—that is\, every 1-cocycle
  with values in a\nHilbert space is bounded. Many rigidity statements rely
  on property\n(T): for example\, morphisms of G into R are trivial. Howeve
 r\, it does\nnot provide tools for studying quasi-homomorphisms\, since th
 ese maps\ndo not respect the group structure. In order to study this class
  of\nmaps\, Ozawa introduced wq-cocycles\, which respect a cocycle identit
 y\nup to a bounded error. A group is said to have property (TTT) if all\nw
 q-cocycles are bounded. In this talk\, I will discuss the relationship\nbe
 tween this property and other more analytical forms of “almost”\nprope
 rty (T). I will also explain how to prove that a group possesses\nthis pro
 perty\, with a focus on simple groups and their lattices.\n\nQNC 1507 or J
 oin on Zoom\n[https://uwaterloo.zoom.us/j/94186354814?pwd=NGpLM3B4eWNZckd1
 aTROcmRreW96QT09]
DTSTAMP:20260504T161325Z
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