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UID:6532@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20210218T160000
DTEND;TZID=Europe/Paris:20210218T170000
DTSTAMP:20241120T201732Z
URL:https://www.i2m.univ-amu.fr/evenements/moduli-of-langlands-parameters-
 and-llif-robert-kurinczuk/
SUMMARY:Robert Kurinczuk (Imperial College London): Moduli of Langlands par
 ameters and LLIF - Robert Kurinczuk
DESCRIPTION:Robert Kurinczuk: \n\n\n\n\n\n\nThe conjectural local Langlands
  correspondence connects representations of p-adic groups to certain repre
 sentations of Galois groups of local fields called Langlands parameters. 
  In recent joint work with Dat\, Helm\, and Moss\, we have constructed mod
 uli spaces of Langlands parameters over Z[1/p] and studied their geometry.
   We expect this geometry is reflected in the representation theory of th
 e p-adic group.  In particular\, our main conjecture "local Langlands in 
 families" describes the GIT quotient of the moduli space of Langlands para
 meters in terms of the centre of the category of representations of the p-
 adic group generalising a theorem of Helm-Moss for GL(n).  I will give an
  overview of this picture\, finishing with current work in progress towar
 ds this conjecture.\n\n\n\n\n\n\n[su_spacer]\n\nhttps://arxiv.org/abs/2009
 .06708\n[su_spacer]
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 020/01/Robert_Kurinczuk.jpg
CATEGORIES:Séminaire,Représentations des Groupes Réductifs,Virtual
 event
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