Special cycles on Shimura varieties
by
Joachim Schwermer
University of Vienna

The main focus of this talk will be on the study of algebraic cycles on Shimura varieties, particularly those "special cycles" which arise as sub-Shimura varieties. We consider the classes of such cycles in the cohomology of the Shimura variety and study their intersections and related intersection numbers. The use of non-abelian Galois cohomology serves as a suitable framework to analyze the role these special cycles play.

Date received: March 31, 2005