Rational points on elliptic curves and cycles on Shimura varieties


Henri Darmon

McGill University

Harvard University

Thursday, February 28, 2008


Talk at 4:30 p.m. in Science Center D

Tea at 4:00 p.m. in the Math Lounge


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.


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Posted: February 11, 2008    URL: 08.html