|Rational points on elliptic curves and cycles on Shimura varieties|
Abstract: The theory of CM (Complex Multiplication) points on modular and Shimura curves provides one of the most fruitful approaches to the Birch and Swinnerton-Dyer conjecture, leading to the best known results for elliptic curves of analytic rank one. In this talk I will explore the possibility of more general constructions in which, loosely speaking, CM points on Shimura curves are replaced by higher dimensional (topological, or algebraic) cycles on Shimura varieties.
|Web page: Alexandru I. Suciu||Comments to: email@example.com|
|Posted: February 11, 2008||URL: http://www.math.neu.edu/bhmn/darmon 08.html|