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SUMMARY:Ignacio Vergara (University of Santiago de Chile)
DTSTART:20250325T140000Z
DTEND:20250325T160000Z
DTSTAMP:20260423T023016Z
UID:WienGAGT/43
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/WienGAGT/43/
 ">Property (T) and actions on the real line</a>\nby Ignacio Vergara (Unive
 rsity of Santiago de Chile) as part of Vienna Geometry and Analysis on Gro
 ups Seminar\n\n\nAbstract\nThis talk will focus on the class of countable 
 groups admitting a faithful action on \\(\\mathbb{R}\\) by orientation-pre
 serving homeomorphisms. Equivalently\, these are the groups that admit a l
 eft-invariant order. The main question that we will address is how Propert
 y (T) -an analytic property defined in terms of unitary representations- i
 mposes restrictions on the kinds of action that a group can have on \\(\\m
 athbb{R}\\).\n\nThe first part of the talk will be devoted to basic defini
 tions and examples. In the second part\, I will present a result that link
 s the Lipschitz and Kazhdan constants associated to finite generating subs
 ets.\n
LOCATION:https://researchseminars.org/talk/WienGAGT/43/
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