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La lettre est adressée au "Ministère de l’intérieur, Bureau général de l'Etat civil, Commission de décision administrative pour les passeports".

Résumé : We compute the divisors of Borcherds products on integral models of orthogonal Shimura varieties. As an application, we obtain an integral version of a theorem of Borcherds on the modul...

Résumé : We prove two formulas  in the style of the Gross-Zagier theorem, relating derivatives of $L$-functions to arithmetic intersection pairings on a unitary Shimura variety.  We also prove a...

Résumé : We form generating series, valued in the Chow group and the arithmetic Chow group, of special divisors on the compactified integral model of a Shimura variety associated to a unitary gr...

Résumé : The three papers in this volume concern the modularity of generating series of divisors on integral models of orthogonal and unitary Shimura varieties.

Résumé : For every $C^2$ function $B$, we prove that the map $(x,y)\mapsto$\break $(x^2+a,0)+B(x,y,a)$ leaves invariant a physical, SRB probability measure, for a set of parameters $a$ of positi...