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PURE MATHEMATICS JOINT COLLOQUIUM ON FRIDAY THE 27 MAY 2005

Published on the 20 May 2005

Geometry, dynamics, and combinatorics of infinite-dimensional groups of transformations

  1. Speaker: Prof. Vladimir Pestov (University of Ottawa)
  2. Date: Friday, 27 May 2005
  3. Time: 2:00 pm
  4. Venue: RC-4082, The Red Centre, UNSW


We will give a survey of some recent developments linking the dynamical properties of "infinite-dimensional" groups of transformations of various structures (groups of operators, of homeomorphisms, of measure-preserving transformations, of isometries etc.) with geometry of high-dimensional structures(asymptotic geometric analysis) and combinatorics
(Ramsey-type theorems). This new theory has its origins in geomtric functional analysis (Dvoretzky theorem and its subsequent analysis by V. Milman and M. Gromov), but nowadays the examples are drawn from a number of different areas of mathematics, one of the most important being logic (Fraïssé theory). We will also survey open questions.