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University of Cambridge > Talks.cam > Number Theory Seminar > The mod p local Langlands correspondence and supersingular representations of GL_2(F)

## The mod p local Langlands correspondence and supersingular representations of GL_2(F)Add to your list(s) Download to your calendar using vCal - Michael Schein (Bar-Ilan)
- Monday 31 May 2010, 14:30-15:30
- MR12.
If you have a question about this talk, please contact Tom Fisher. 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 absolute 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 representations of GL_n(F), which are the basic building blocks of the mod p representation theory of this group, are very poorly understood. In particular, irreducible supersingular representations of GL_2(F) have previously been constructed explicitly only when F/Q_p is unramified. We will discuss some aspects of the mod p local Langlands correspondence and the construction (in progress) of a family of irreducible supersingular representations of GL_2(F) for totally ramified F/Q_p of that form that is expected to appear in the image of the correspondence. This talk is part of the Number Theory Seminar series. ## This talk is included in these lists:- All CMS events
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