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SUMMARY:Wild parameters and the Langlands correspondence for classical gro
 ups - Shaun Stevens (UEA)
DTSTART:20170314T143000Z
DTEND:20170314T153000Z
UID:TALK70251@talks.cam.ac.uk
CONTACT:G. Rosso
DESCRIPTION:The local Langlands correspondence for a classical group over 
 a nonarchimedean local field\, now a theorem of Arthur (and others) in cha
 racteristic zero\, predict a surjective map from irreducible (smooth compl
 ex) representations of the group to Langlands parameters\, with finite fib
 res. We consider the question of making this map explicit for symplectic g
 roups G: given a cuspidal irreducible representation\, we are able to desc
 ribe the corresponding Langlands parameter up to unramified characters in 
 general (and\, in certain cases\, completely). As a result\, we deduce an 
 explicit ``wild transfer'' map for endoscopic transfer to a general linear
  group or\, equivalently\, a map from ``endo-parameters for G'' to wild pa
 rameters (the restriction to wild inertia of Langlands parameters) which i
 s compatible with the Langlands correspondence. It seems likely that this 
 is part of a more general theory of ``endo-parameters''\, compatible with 
 endoscopy\, and that a refined version of these wild parameters will also 
 partially distinguish between elements in an L-packet. Joint work with Blo
 ndel\, Henniart\, Kurinczuk\, Skodlerack.
LOCATION:MR13
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