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SUMMARY:Classification of von Neumann algebras
DTSTART:20180411T171500
DTEND:20180411T183000
DTSTAMP:20260930T202145Z
UID:93f5372126ca7ca0dde36d31ae82c84a8d3beacb71c5370aad8dea0c
CATEGORIES:Conferences - Seminars
DESCRIPTION:Prof. Stefaan Vaes KU Leuven\nThe theme of this talk is the di
 chotomy between amenability and non-amenability. Because the group of moti
 ons of the three-dimensional Euclidean space is non-amenable (as a group w
 ith the discrete topology)\, we have the Banach-Tarski paradox. In dimensi
 on two\, the group of motions is amenable and there is therefore no parado
 xical decomposition of the disk. This dichotomy is most apparent in the th
 eory of von Neumann algebras: the amenable ones are completely classified 
 by the work of Connes and Haagerup\, while the non-amenable ones give rise
  to amazing rigidity theorems\, especially within Sorin Popa's deformation
 /rigidity theory. I will illustrate the gap between amenability and non-am
 enability for von Neumann algebras associated with countable groups\, with
  locally compact groups\, and with group actions on probability spaces.
LOCATION:BI A0 448 https://plan.epfl.ch/?room==BI%20A0%20448
STATUS:CONFIRMED
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