Brandeis-Harvard-MIT-Northeastern

JOINT MATHEMATICS COLLOQUIUM


 
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.


 

Home Web page:  Alexandru I. Suciu   Comments to:  alexsuciu@neu.edu  
Posted: February 11, 2008    URL: http://www.math.neu.edu/bhmn/darmon 08.html