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L_p-compression of wreath products and some related groups

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

December 09, 2016 (11:00 AM PST - 12:00 PM PST)
Speaker(s): Tianyi Zheng (University of California, San Diego)
Location: MSRI: Simons Auditorium
Tags/Keywords
  • wreath product

  • Lp-compression

  • amenable groups

  • 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

14651

Abstract

We show a formula relating the L_p-compression exponent of a group and its wreath product with a cyclic group for p in [1, 2]. The argument extends the Markov type method introduced by Naor and Peres. Using wreath product as ingredients, we construct finitely generated amenable groups with arbitrary prescribed L_p compression exponent in the interval [0,1]. This can be viewed as an elementary amenable analogue of a result of Arzhantseva, Drutu and Sapir. Joint with Jeremie Brieussel

Supplements
27480?type=thumb Zheng Notes 625 KB application/pdf Download
Video/Audio Files

14651

H.264 Video 14651.mp4 324 MB video/mp4 rtsp://videos.msri.org/data/000/027/258/original/14651.mp4 Download
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