Borcherds products and automorphic Green's functions

(Un exposé de Jan Bruinier au séminaire de théorie des nombres de Chevaleret le 4 novembre 2002)

Résumé :

We recall some results due to Borcherds on automorphic products and
explain their relation to automorphic Green's functions accociated
with modular divisors.
We indicate how they can be used in the computation of arithmetic
intersection numbers on certain Shimura varieties.