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SUMMARY:What is a mod l Langlands correspondence for GL_n(Q_p) ? - Jean-Fr
 ancois Dat (Jussieu)
DTSTART:20121120T143000Z
DTEND:20121120T153000Z
UID:TALK40269@talks.cam.ac.uk
CONTACT:Teruyoshi Yoshida
DESCRIPTION:In 2001\, Vigneras constructed a bijection between irreducible
  mod l\nrepresentations of a p-adic GL(n) and Weil-Deligne representations
  mod l. More recently\, Emerton and Helm introduced a very different type 
 of\ncorrespondence that maps any Galois mod l representation to a possibly
  non-irreducible representation of GL(n). While the latter construction ha
 s a clear number-theoretic and global motivation\, the former one appears 
 as a mere representation-theoretic and local result. We will however expla
 in a geometric interpretation of the former one\, and speculate on a possi
 ble common refinement of both correspondences.
LOCATION:MR13
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