(0.0) Big Galois representations In this work we study cohomological invariants of “big
Galois representations” ρ: G−→ AutR (T), where (i) G is a suitable Galois group.(ii) R is a …

Let E/Q be a modular elliptic curve of conductor N, and let p be a prime number. In [MTT],
Mazur, Tate and Teitelbaum formulate a p-adic analogue of the conjecture of Birch and …

Iwasawa's Main Conjecture for Elliptic Curves over Anticyclotomic Z_p-Extensions
Page 1 Annals of Mathematics, 162 (2005), 1-64 Iwasawa's Main Conjecture for elliptic …

Let E/Q be a modular elliptic curve, and let p be a prime of good ordinary reduction for E.
Write K 00 for the anticyclotomic Zp-extension of an imaginary quadratic field K which …

On the anticyclotomic Iwasawa main conjecture for modular forms Page 1 On the
anticyclotomic Iwasawa main conjecture for modular forms Masataka Chida and Ming-Lun …

Let K/k be a finite abelian extension of global fields. We prove that a natural equivariant
leading term conjecture implies a family of explicit congruence relations between the values …

The goal of this article is to obtain a proof of the Main conjectures of Iwasawa theory for
rational elliptic curves over anticyclotomic extensions of imaginary quadratic fields, under …

Let be an elliptic curve and be a good ordinary prime for E and assume that with root
number (so). A construction of Darmon–Rotger attaches to E and an auxiliary weight 1 …

Families of automorphic forms on definite quaternion algebras and Teitelbaum's conjecture
Page 1 Astérisque 331, 2010, p. 29–64 FAMILIES OF AUTOMORPHIC FORMS ON DEFINITE …

We establish the freeness of certain anticyclotomic Selmer groups of modular forms. The
freeness of these Selmer groups plays a key role in the Euler system arguments introduced …