Đề tài " Subvarieties of Shimura varieties "

Introduction 2. The strategy 3. Some preliminaries 3.1. Mumford-Tate groups 3.2. Variations of Z-Hodge structure on Shimura varieties 3.3. Representations of tori 4. Lower bounds for Galois orbits 4.2. Galois orbits and Mumford-Tate groups 4.3. Getting rid of G 4.4. Proof of Proposition 4.3.9 5. Images under Hecke correspondences 6. Density of Hecke orbits 7. Proof of the main result 7.3. The case where i is bounded 7.4. The case where i is not bounded 1. Introduction The aim of this article is to prove a special case of the following conjecture of Andr´ and Oort on subvarieties...