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TZID:Europe/Paris
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BEGIN:VEVENT
UID:5096@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20240326T140000
DTEND;TZID=Europe/Paris:20240326T150000
DTSTAMP:20240524T072506Z
URL:https://www.i2m.univ-amu.fr/evenements/tba-93/
SUMMARY: (...): On a geometric parametrization of smooth irreducible p-adic
  representations
DESCRIPTION::  Let Irr(G) denote the set of smooth irreducible complex rep
 resentations of a reductive p-adic group G. The Bernstein decomposition th
 eorem provides us with a natural partition of Pi(G) into Bernstein compone
 nts\, and the irreducible representations on each component are in bijecti
 on with those of a Hecke algebra.\n\nIn this talk\, I will explain how to 
 construct the Lafforgue variety Laf(G)\, an infinite disjoint union of aff
 ine schemes equipped with an open dense subscheme whose geometric points p
 arametrize Pi(G). I will also show it comes equipped with a finite morphis
 m to the Bernstein variety.\n\nTime allowing\, I will also report on relat
 ed work in progress studying how the Lafforgue variety deforms when changi
 ng the parameter of an affine Hecke algebra. This is related to a conjectu
 re by Aubert\, Baum and Plymen.
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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TZID:Europe/Paris
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DTSTART:20231029T020000
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