Special points in Shimura varieties, an introduction

Abstract

In the Workshop the central theme is a conjecture, see (4.2). On this conjecture work has been done from various directions: mixed characteristic, G-functions, equidistribution, Galoisorbits. Special cases have been proved (Andr´e, Moonen, Edixhoven, Clozel, Ullmo, Zhang, Yafaev, and several others); the general case seems to be open.