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SUMMARY:Simple cuspidals and the local Langlands correspondence for GL(n) 
 - Henniart\, G (Paris-Sud 11 )
DTSTART:20091214T100000Z
DTEND:20091214T110000Z
UID:TALK21945@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Class field theory is the case n=1 of the Langlands correspond
 ence. The case of general n may be considered as a kind of non-abelian cla
 ss field theory. However the Langlands correspondence relates two equally 
 mysterious sides. On the example of simple cuspidal representations for GL
 (n) over a non-Archimedean local field (pointed out by Gross and Reeder)\,
  we shall see that it is not so easy\, but still possible\, to determine t
 he corresponding Galois representations (joint work in progress with Bushn
 ell).
LOCATION:Seminar Room 1\, Newton Institute
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