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TZID:Europe/Paris
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BEGIN:VEVENT
UID:5077@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20240312T140000
DTEND;TZID=Europe/Paris:20240312T150000
DTSTAMP:20240524T072506Z
URL:https://www.i2m.univ-amu.fr/evenements/tba-98/
SUMMARY: (...): Unipotent representations and mixed Hodge modules
DESCRIPTION:: \n\n\n\n\n\n\n\nLet Pi(G) denote the set of irreducible unita
 ry representations of a semisimple Lie group G. A fundamental problem in r
 epresentation theory is to describe the structure of this set. In previous
  joint work with Losev and Matvieievskyi\, we have defined a class of repr
 esentations called rigid unipotent representations\, which are conjectur
 ed to form the building blocks of Pi(G). Unfortunately\, it is not at all 
 clear from their construction that these representations are unitary. In 2
 011\, Schmid and Vilonen proposed a geometric framework for studying unita
 ry representations using Saito’s theory of mixed Hodge modules. In this 
 talk\, I will explain how this framework can be applied to prove the unita
 rity of all rigid unipotent representations. This is based on joint work i
 n progress with Dougal Davis.\n\n\n\n\n\n\n\n
CATEGORIES:Séminaire,Représentations des Groupes Réductifs
LOCATION:I2M Luminy - TPR2\, Salle de Séminaire 304-306 (3ème étage)\, 1
 63 Avenue de Luminy\, Marseille\, 13009\, France
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=163 Avenue de Luminy\, Mars
 eille\, 13009\, France;X-APPLE-RADIUS=100;X-TITLE=I2M Luminy - TPR2\, Sall
 e de Séminaire 304-306 (3ème étage):geo:0,0
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DTSTART:20231029T020000
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