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SUMMARY:Localized representation theory - Nelson\, P (EPFL - Ecole Polytec
 hnique Fdrale de Lausanne)
DTSTART:20140701T140000Z
DTEND:20140701T145000Z
UID:TALK53259@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:The talk will concern an aspect of the representation theory o
 f Lie groups motivated by applications to bounds for period integrals. \n\
 nI will introduce a notion of a vector in an irreducible unitary represent
 ation being "localized". I will then plead the case that this definition i
 s interesting. \n\nFor example\, recall that Schur's lemma says that the e
 quivariant operators on an irreducible unitary representation are constant
  multiples of the identity. I will describe an asymptotic classification o
 f "approximately equivariant" operators when restricted to localized vecto
 rs. \n\nI will indicate some applications of this simple-sounding result\,
  particularly to establishing the invariance of certain limiting measures 
 that arise in semiclassical analysis and number theory. \n\n
LOCATION:Seminar Room 1\, Newton Institute
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