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SUMMARY:The Buzzard-Diamond-Jarvis conjecture for unitary groups - David
  Savitt (Arizona)
DTSTART:20120515T133000Z
DTEND:20120515T143000Z
UID:TALK35676@talks.cam.ac.uk
CONTACT:Tom Fisher
DESCRIPTION:We will discuss the proof of the weight part of Serre's\nco
 njecture for rank two unitary groups in the unramified case (that\nis\, 
 the Buzzard-Diamond-Jarvis conjecture for unitary groups).  This\nis jo
 int work with Toby Gee and Tong Liu.  More precisely\, we prove\nthat an
 y Serre weight which occurs is a predicted weight\; this\ncompletes th
 e analysis begun by Barnet-Lamb\, Gee\, and Geraghty\, who\nproved that al
 l predicted weights occur.  Our methods are purely\nlocal\, using Liu's
  theory of (phi\,G-hat) modules to determine the\npossible reductions mod 
 p of certain two-dimensional crystalline\nGalois representations.
LOCATION:MR13
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