Number Theory Seminar

Anticyclotomic Iwasawa theory for elliptic curves at Eisenstein case was first studied in the recent work of Castella--Grossi--Lee--Skinner. We will talk about generalizations of their results to newforms of arbitrary weights, meanwhile removing their techinical assumptions. Using Hida arguments, one could also deduce weight 2 results for multiplicative reduction. The applications include new cases of p-part BSD formula, p-converse theorems and improvements in arithmetic statistics. This is joint work with Timo Keller.