Heights of CM points on orthogonal Shimura varieties

Mardi 16 février 2016 14:15-15:15 - Fabrizio Andreatta - Università Statale di Milano

Résumé : I will report on joint work with E. Goren, B. Howard and K. Madapusi Pera. We prove a conjecture of Bruinier-Kudla-Yang, relating the arithmetic intersection of special Heegner divisors and big CM points on Shimura varieties of orthogonal type to the central derivatives of certain L-functions. As an application of this result, we prove an averaged version of Colmez’s conjecture on the Faltings heights of CM abelian varieties.

Lieu : Bât. 425, salle 117-119

Heights of CM points on orthogonal Shimura varieties  Version PDF