Workshop on Algebraic, Geometric and Probabilistic Aspects of Amenability
June 18 - July 13, 2007

Schedule of lectures for Week 2 (June 25 - June 29)

• Monday, June 25, 2007
  15:00 - 15:50: Wolfgang Woess (TU Graz): Horocyclic products of trees and of hyperbolic spaces
• Tuesday, June 26, 2007
  11:00 - 11:50: Nicolas Monod (Geneva): Some topics on amenable actions, I
  Abstract: In this series of lectures, we shall study some aspects of the classical question of the existence of invariant means on a set under a group action. We shall restrict ourselves to the "naked" setting where no topology or measure-theory is involved. We shall on the one hand address classical results, giving for instance a short proof of Tarski's theorem on paradoxical decompositions. On the other hand, we present a few new aspects that have been historically overlooked, regarding e.g. amenable actions of non-amenable groups. We will also present a few problems that are simple to formulate but appear to be unsolved.
  15:00 - 15:50: Rostislav Grigorchuk (Texas A&M): On non-elementary amenability and nonamenability, II
• Wednesday, June 27, 2007
  11:00 - 11:50: Nicolas Monod, II
• Thursday, June 28, 2007
  11:00 - 11:50: Nicolas Monod, III
  15:00 - 15:50: George Willis (Newcastle, Australia): Totally disconnected groups and their automorphisms
  16:10 - 17:00: Nicolas Monod, IV
• Friday, June 29, 2007
  11:00 - 11:50: Nicolas Monod, V
  15.00 - 15.50: Gerhard Racher (Salzburg): On the flatness of full group C*-algebras
  Abstract: Considering the full group C*-algebra, C*(G), of a locally compact group G as a module over the Banach algebra L¹(G), we show that C*(G) is flat if and only if G is amenable. As opposed to C*-exactness, flatness here means exactness with respect to the projective tensor product of Banach modules. In the same vein, we have: C*(G) is projective if and only if G is compact.
  16:10 - 17:00: Benjamin Weiss (Jerusalem): On rigidity and mixing for actions of amenable groups

All lectures take place in the ESI Boltzmann Lecture Hall

Anna Erschler, Vadim Kaimanovich, Klaus Schmidt

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