WorkshopsAnticyclotomic Iwasawa main conjecture for modular forms
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This is a joint work with Ming-Lun Hsieh. In the fundamental work of Bertolini-Darmon on anticyclotomic Iwasawa theory for elliptic curves, they proved oneside divisiblity of anticyclotomic Iwasawa main conjecture for elliptic curves over Q using an Euler system obtained by CM points on Shimura curves and the level raising of modular forms. In this talk, we will generalize their result to higher weight modular forms using congruence of modular forms. Also we will discuss on some applications.
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Masataka Chida
2012-12-17
13:30:00 - 15:00:00
308 , Mathematics Research Center Building (ori. New Math. Bldg.)
This is a joint work with Ming-Lun Hsieh. In the fundamental work of Bertolini-Darmon on anticyclotomic Iwasawa theory for elliptic curves, they proved oneside divisiblity of anticyclotomic Iwasawa main conjecture for elliptic curves over Q using an Euler system obtained by CM points on Shimura curves and the level raising of modular forms. In this talk, we will generalize their result to higher weight modular forms using congruence of modular forms. Also we will discuss on some applications.