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SUMMARY:"Techniques and concepts of amenability of discrete groups"
DTSTART:20150324T111500
DTEND:20150324T121500
DTSTAMP:20260427T225326Z
UID:67cf7e2d37b92d32de90870839e717fa4a335d00b13b15f2f4eb8dde
CATEGORIES:Conferences - Seminars
DESCRIPTION:Prof. Kate JUSCHENKO (Texas A&M University)\nThe subject of am
 enability essentially begins in 1900's with Lebesgue. He asked whether the
  properties of his integral are really fundamental and follow from more fa
 miliar integral axioms.  This led to the study of positive\, finitely add
 itive and translation invariant measure on reals as well as on other space
 s. In particular the study of isometry-invariant measure led to the Banach
 -Tarski decomposition theorem in 1924. The class of amenable groups was in
 troduced by  von Neumann in 1929\, who explained why the paradox appeared
  only in dimensions greater or equal to three\, and does not happen when w
 e would like to decompose the two-dimensional ball. In 1940's\, M. Day def
 ined a class of elementary amenable groups as the largest class of groups 
 amenability of which was known to von Naumann. He asked whether there are 
 other groups then that. We will give an introductory to amenability talk\,
  and explain more recent developments in this field. In particular\, I wil
 l explain how to obtain all known non-elementary amenable groups using onl
 y one approach.
LOCATION:BI A0 448 (CIB) http://plan.epfl.ch/?lang=fr&room=BI+A0+448
STATUS:CONFIRMED
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