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SUMMARY:Companion points and locally analytic socle for GL(2) - Yiwen Ding
  (Imperial College London)
DTSTART:20161025T133000Z
DTEND:20161025T143000Z
UID:TALK67453@talks.cam.ac.uk
CONTACT:Jack Thorne
DESCRIPTION:Let L be a finite extension of Q_p. Under mild technical hypot
 hesis\, we prove Breuil's locally analytic socle conjecture for GL_2(L)\, 
 showing the existence of all the companion points on the definite (patched
 ) eigenvariety. This work relies on infinitesimal "R=T" results for the pa
 tched eigenvariety and the comparison of partially de Rham families and pa
 rtially Hodge-Tate families.
LOCATION:MR13
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