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SUMMARY:Recent results on the arithmetic of Darmon points on abelian varie
 ties - Stefano Vigni (Kings College London)
DTSTART:20111115T143000Z
DTEND:20111115T153000Z
UID:TALK33372@talks.cam.ac.uk
CONTACT:Tom Fisher
DESCRIPTION:I will explain how\, building on general results on p-adic uni
 formizations\nof Jacobians of Shimura curves\, one can define Darmon point
 s on Shimura curves and\nmodular abelian varieties and formulate precise c
 onjectures on their rationality.\nThese points are vast generalizations of
  Darmon's Stark-Heegner points on elliptic\ncurves. Finally\, I will descr
 ibe recent results on the arithmetic of Darmon points\non abelian varietie
 s\, with special attention to the case of elliptic curves. This\ntalk is b
 ased on joint work with Matteo Longo (Università di Padova) and Victor\nR
 otger (Universitat Politècnica de Catalunya).
LOCATION:MR13
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