| Résume | This is a joint work withMing-Lun Hsieh. In the fundamental work of Bertolini-Darmon onanticyclotomic Iwasawa theory for elliptic curves, they proved onesidedivisiblity of anticyclotomic Iwasawa main conjecture for ellipticcurves over Q using an Euler system obtained by CM points on Shimuracurves and the level raising of modular forms. In this talk, we willgeneralize their work to higher weight modular forms using an explicitconstruction of congruence among modular forms of different weights.Also we will discuss on some applications of our result. |
