We will first introduce Shimura varieties of orthogonal type, their Heegner divisors and some special points, called CM (Complex Multiplication) points. Secondly we will review conjectures of Bruinier-Yang and Buinier-Kudla-Yang which provide explicit formulas for the arithmetic intersection of such divisors and the CM points. We will show that they imply an averaged version of a conjecture of Colmez. Finally we will present the main ingredients in the proof of the conjectures. The lectures are base on joint works with E. Goren, B. Howard and K. Madapusi Pera.
De Jean-Benoît Bost
De Jean-Benoît Bost
De Per Salberger
De Per Salberger
De Per Salberger
De Per Salberger
De Antoine Chambert-Loir
De Antoine Chambert-Loir
De Antoine Chambert-Loir
De Antoine Chambert-Loir
De Romain Dujardin
De Romain Dujardin
De Romain Dujardin
De Zhizhong Huang
De Fabrizio Andreatta
De Fabrizio Andreatta
De Fabrizio Andreatta
De Fabrizio Andreatta
De Fabrizio Andreatta
De Yunqing Tang
De Gerard Freixas I Montplet
De Gerard Freixas I Montplet
De Ana-Maria Castravet
De Ana-Maria Castravet
De Ana-Maria Castravet
