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: alexsuciu@neu.edu | |
Posted: February 11, 2008 | URL: http://www.math.neu.edu/bhmn/darmon 08.html |