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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: SLMath: Eisenbud Auditorium
Tags/Keywords

  • 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
Video

14645
Abstract

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

14645

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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