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SUMMARY:A generalisation of Heegner Points? - Christophe Cornut (Jussieu)
DTSTART:20081028T143000Z
DTEND:20081028T153000Z
UID:TALK13971@talks.cam.ac.uk
CONTACT:Tom Fisher
DESCRIPTION:Let _K_ be a CM field with totally real subfield _F_. Let _M_ 
 be a motive over _F_ with coefficients in a number field _C_. Suppose that
  _M_ is symplectic and pure of weight -1.\n\nIn some cases\, the Bloch-Kat
 o conjectures and global sign considerations suggest that there should exi
 st an Euler System for _M_ over _K_. Under some further assumptions (autom
 orphicity and behavior of _M_ at the archimedean places)\, conjectures of 
 Langlands\, Vogan\, Arthur and local sign considerations suggest the const
 ruction of (a candidate for) such an Euler system. For _M_ = _h_^1(_E_)(1)
  with _E_ an elliptic curve over _F_ = *Q*\, the whole process yields just
  the classical Euler system of Heegner points.\n
LOCATION:MR13
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