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VERSION:2.0
PRODID:-//Memento EPFL//
BEGIN:VEVENT
SUMMARY:On the type I conjecture for groups acting on trees
DTSTART:20161201T130000
DTEND:20161201T140000
DTSTAMP:20260411T015558Z
UID:64ab796f7919cfe5a882f597920d9fad00e731a7b333411dc57d5d9d
CATEGORIES:Conferences - Seminars
DESCRIPTION:Sven Raum\nA locally compact group is of type I -- roughly spe
 aking -- if all its unitary representations can be uniquely written as a d
 irect integral of irreducible representations. This property is of utter i
 mportance in the study of Lie groups and algebraic groups. The type I conj
 ecture predicts that every closed subgroup of the automorphism group of a 
 locally finite tree that acts transitively on the boundary of the tree is 
 of type I. A proof of this conjecture would give a new perspective on the 
 representation theory of rank one algebraic groups over non-Archimedean fi
 elds and prove a huge class of groups whose representation theory is well-
 behaved.\nI will describe my recent effort to attack the type I conjecture
  and understand the class of type I groups acting on trees by operator alg
 ebraic means.
LOCATION:MA 31
STATUS:CONFIRMED
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