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SUMMARY:Rob Kurinczuk (Imperial College London)
DTSTART:20201028T160000Z
DTEND:20201028T170000Z
DTSTAMP:20260418T065701Z
UID:LNTS/15
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LNTS/15/">Mo
 duli of Langlands parameters and LLIF</a>\nby Rob Kurinczuk (Imperial Coll
 ege London) as part of London number theory seminar\n\n\nAbstract\nThe con
 jectural local Langlands correspondence connects representations of p-adic
  groups to certain representations of Galois groups of local fields called
  Langlands parameters.  In recent joint work with Dat\, Helm\, and Moss\, 
 we have constructed moduli spaces of Langlands parameters over Z[1/p] and 
 studied their geometry.  We expect this geometry is reflected in the repre
 sentation theory of the p-adic group.  In particular\, our main conjecture
  "local Langlands in families" describes the GIT quotient of the moduli sp
 ace of Langlands parameters in terms of the centre of the category of repr
 esentations of the p-adic group generalising a theorem of Helm-Moss for GL
 (n).\n
LOCATION:https://researchseminars.org/talk/LNTS/15/
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