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SUMMARY:Geometric approach to the local Jacquet-Langlands correspondence -
  Yoichi Mieda (Kyoto)
DTSTART:20120522T151500Z
DTEND:20120522T161500Z
UID:TALK37672@talks.cam.ac.uk
CONTACT:Tom Fisher
DESCRIPTION:Let _F_ be a _p_-adic field. The local Jacquet-Langlands corre
 spondence is a\nnatural bijection between irreducible discrete series repr
 esentations of\nGL<sub>_n_</sub>(_F_)\nand irreducible smooth representati
 ons of _D_^x^ where _D_ is a central\ndivision\nalgebra over _F_. In this 
 talk\, under the assumption "inv _D_ = 1/_n_"\, I will\nexplain\na geometr
 ic approach to construct the bijection. If moreover _n_ is prime\,\nmy met
 hod provides a purely local proof of the local Jacquet-Langlands\ncorrespo
 ndence.\n
LOCATION:MR4
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