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SUMMARY:The mod p local Langlands correspondence and supersingular represe
 ntations of GL_2(F) - Michael Schein (Bar-Ilan)
DTSTART:20100531T133000Z
DTEND:20100531T143000Z
UID:TALK22445@talks.cam.ac.uk
CONTACT:Tom Fisher
DESCRIPTION:Let F be a finite extension of Q_p.  A mod p local Langlands 
 correspondence is believed to exist between mod p representations of the a
 bsolute Galois group of F and certain mod p representations of GL_n(F).  
 A major obstacle to its study is that the supersingular mod p representati
 ons of GL_n(F)\, which are the basic building blocks of the mod p represen
 tation theory of this group\, are very poorly understood.  In particular\
 , irreducible supersingular representations of GL_2(F) have previously bee
 n constructed explicitly only when F/Q_p is unramified. We will discuss s
 ome aspects of the mod p local Langlands correspondence and the construct
 ion (in progress) of a family of irreducible supersingular representation
 s of GL_2(F) for totally ramified F/Q_p of that form that is expected to a
 ppear in the image of the correspondence.\n
LOCATION:MR12
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