Advanced Course on Algebraic Cycles, Modular Forms, and Rational Points on Elliptic Curves

Month: December 2009

Date: December 9--12

Name: Advanced Course on Algebraic Cycles, Modular Forms, and Rational Points on Elliptic Curves

Location: Centre de Recerca Matemàtica (CRM), Bellaterra, Barcelona, Spain.

Description

The theme of this course is the construction of algebraic points on elliptic curves from special points and higher-dimensional cycles on Shimura varieties and closely related objects. The lecturers will provide background for, explain, and, time permitting, expand further on the results that are proven in the two works in progress: 1.- M. Bertolini, H. Darmon, and K. Prasanna, "Generalized Heegner cycles and p-adic Rankin L-series"; 2.- M. Bertolini, H. Darmon, and K. Prasanna, "Chow-Heegner points on CM elliptic curves and values of p-adic L-series".

Information

http://www.crm.cat/Activitats/Activitats/2009-2010/accycles/web-accycles/default.asp .