BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Memento EPFL//
BEGIN:VEVENT
SUMMARY:Superintrinsic synthesis in fixed point properties
DTSTART:20160915T130000
DTEND:20160915T140000
DTSTAMP:20260413T205156Z
UID:b4b682bb0b680fafe80090fbee2a123df3606a2b19e65f293bd8235e
CATEGORIES:Conferences - Seminars
DESCRIPTION:Masato Mimuraa\nFor a class X of metric spaces\, we say a fini
 tely generated group G has the fixed point property (F_X)\, relative to X\
 , if all isometric G-actions on every member o X have global fixed points.
  Fix a class X of "non-positively curved spaces" (for instance\, in the se
 nse of Busemann) stable under certain operation. We obtain new criteria to
  "synthesize" the "partial" (F_X) (more precisely\, with respect to subgro
 ups) into the "whole" (F_X). A basic example of such X is the class of all
  Hilbert spaces\, and then (F_X) is equivalent to the celebrated property 
 (T) of Kazhdan.\n\n\nOur "synthesis" is intrinsic\, in the sense of that o
 ur criteria do not depend on the choices of X. The point here is that\, ne
 vertheless\, we exclude all of "Bounded Generation" axioms\, which were th
 e clue in previous works by Y. Shalom. As applications\, we present a simp
 ler proof of (T) for elementary groups over noncommutative rings (Ershov--
 Jaikin\, Invent. Math.\, 2010). Moreover\, our approach enables us to exte
 nd that to one in general L_p space settings for all finite p>1.\n
LOCATION:MA 12 http://plan.epfl.ch/?room=ma12
STATUS:CONFIRMED
END:VEVENT
END:VCALENDAR