Séminaires : Séminaire Théorie des Nombres

Equipe(s) : tn,
Responsables :Ziyang Gao, Marc Hindry, Bruno Kahn, João Pedro P. dos Santos
Email des responsables : ziyang.gao@imj-prg.fr
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Orateur(s) Jan Bruinier - ,
Titre Faltings heights of CM cycles and derivatives of L-functions
Date09/03/2009
Horaire14:00 à 16:00
RésumeWe report on joint work with T. Yang. Westudy the Faltings height pairing of arithmetic Heegner divisors and CM cycles on Shimura varieties associated to orthogonal groups. We compute the archimedean contributionto the height pairing and derive a conjecture relating the total pairingto the central derivative of a Rankin $L$-function. We briefly discusshow the conjecture can be proved in certain low dimensional cases.In particular, it can be used to give a new proof of the Gross-Zagierformula.
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