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Embedding Nilpotent Groups into Banach Spaces

Presenter
October 20, 2011
SLMath
Keywords:
  • embedding theorems
  • Lie groups
  • geometric group theory
  • Banach space
  • functional analysis
  • Heisenberg group
MSC:
  • 58C20
  • 46-xx
  • 46Bxx
  • 46B20
  • 22E25
  • 22E27
  • 28C10
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Abstract
We use representation theory to provide sharp quantitative obstructions on the existence of a bi-lipschitz embedding of Heisenberg's group into uniformly convex Banach spaces (joint work with Tim Austin and Assaf Naor).
Abstract