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UID:8839@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20250925T140000
DTEND;TZID=Europe/Paris:20250925T150000
DTSTAMP:20250922T172218Z
URL:https://www.i2m.univ-amu.fr/evenements/on-chow-groups-of-deligne-luszt
 ig-varieties/
SUMMARY:Erik Johannes Barinaga (Bergische Universität Wuppertal): On Chow 
 groups of Deligne--Lusztig varieties
DESCRIPTION:Erik Johannes Barinaga: Deligne--Lusztig varieties play a very 
 important role in the representation theory of finite groups of Lie type\,
  as covered in the landmark 1976 paper by Deligne and Lusztig. Nevertheles
 s\, these schemes remain mysterious in general. For instance\, as of yet w
 e have no real strategy to determine their \\ell-adic cohomology groups in
  a coherent way\, especially outside of the general linear case\, or small
  rank examples. Likewise\, not much is known about their Picard groups or 
 more general (higher) Chow groups. In this talk\, we will present some res
 ults on (rational\, higher) Chow groups of Deligne--Lusztig varieties. We 
 discuss a recursive formula describing the rational Picard group of a Deli
 gne--Lusztig variety in terms of a smaller variety in the case of G=Gl_n. 
 This is work in progress\, and part of my PhD thesis.
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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