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Superintrinsic synthesis in fixed point properties

Amenability, coarse embeddability and fixed point properties December 06, 2016 - December 09, 2016

December 08, 2016 (02:00 PM PST - 03:00 PM PST)
Speaker(s): Masato Mimura (Tohoku University)
Location: MSRI: Simons Auditorium
  • fixed point properties

  • property (T)

  • property t

  • expander graph

  • bounded generation

  • hyperbolic groups and generalizations

  • Banach space

  • group cohomology

  • index theory

  • non-commutative geometry

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC



The following natural question arises from Shalom's innovational work (1999, Publ.IHES) on Kazhdan's property (T). ``Can we establish an `intrinsic' criterion to synthesize relative fixed point properties into the whole fixed point property without assuming `Bounded Generation'?'' This talk is aimed to present a resolution to this question in the affirmative. Our criterion works for ones with respect to certain classes of Busemann Non-Positively Curved spaces. It, moreover, suggests a further step toward constructing super-expanders from finite simple groups of Lie type.


27476?type=thumb Mimura Notes 1.09 MB application/pdf Download
Video/Audio Files


H.264 Video 14648.mp4 339 MB video/mp4 rtsp://videos.msri.org/data/000/027/246/original/14648.mp4 Download
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