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SUMMARY:A geometric approach to some similarity problems 
DTSTART:20150319T130000
DTEND:20150319T140000
DTSTAMP:20260510T063109Z
UID:f814e49a21c5ffb7696a77e806e7b6b945e73edd90802d41ac29897b
CATEGORIES:Conferences - Seminars
DESCRIPTION:Martin Miglioli (Universidad de Buenos Aires)\nErgodic and Geo
 metric Group Theory Seminar\nIn this talk we present a geometric approach 
 to two similarity problems. Minimality properties of projections to closed
  convex sets in the non-positively curved cone of positive invertible oper
 ators are used to study minimality properties of canonical orthogonalizers
  of some unital algebra homomorphisms. We also address the question of exi
 stence of unitarizers of groups of invertible operators when these groups 
 act on manifolds of positive invertible operators endowed with a metric de
 rived from a trace. Here the Bruhat–Tits fixed point theorem is used to 
 show that the square root of the circumcenter of orbits are unitarizers of
  the groups.
LOCATION:MA 30 http://plan.epfl.ch/?room=MA%20A3%2030
STATUS:CONFIRMED
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