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Finite embeddability of groups and its applications to geometry and topology

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

December 07, 2016 (03:30 PM PST - 04:30 PM PST)
Speaker(s): Guoliang YU (Texas A & M University)
Location: MSRI: Simons Auditorium
  • coarse embedding

  • finite embeddability

  • K theory

  • C* algebras

  • Amenability

  • a-T-menability

  • fixed point properties

  • hyperbolic groups and generalizations

  • Banach space

  • group cohomology

  • expander graph

  • index theory

  • non-commutative geometry

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



We will introduce the concept of finite embeddability of groups and discuss its applications to non-rigidity of topological manifolds and the moduli space of positive scalar curvature metrics. A certain secondary invariant of elliptic operators plays a crucial role in these applications. This is joint work with Shmuel Weinberger and Zhizhang Xie

27473?type=thumb Yu Notes 1.07 MB application/pdf Download
Video/Audio Files


H.264 Video 14645.mp4 312 MB video/mp4 rtsp://videos.msri.org/data/000/027/238/original/14645.mp4 Download
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