Basic points in moduli spaces of PEL-type

(Un exposé de Chia-Fu Yu au séminaire de théorie des nombres de Chevaleret le 28 mars 2005)

Résumé :

  In this talk we will introduce the moduli spaces of PEL-type and the notion of basic points in the moduli spaces modulo a prime p according to Kottwitz. Then we sketch a proof of the existence of basic points and describe a connection with Hecke orbit problems.