Links between cyclotomic and Iwasawa theory.
The work of Gross and Zagier on Heegner points and the derivatives of -series
The work of Mazur and Wiles on cyclotomic fields
On -adic -functions
Iwasawa algebras and arithmetic
Fonctions zêta partielles d'un corps de nombres totalement réel
Diophantine Approximation on Abelian Varieties with Complex Mulitplication.
The GL2 main conjecture for elliptic curves without complex multiplication
Let G be a compact -adic Lie group, with no element of order , and having a closed normal subgroup H such that G/H is isomorphic to . We prove the existence of a canonical Ore set S of non-zero divisors in the Iwasawa algebra Λ(G) of G, which seems to be particularly relevant for arithmetic applications. Using localization with respect to S, we are able to define a characteristic element for every finitely generated Λ(G)-module M which has the property that the quotient of M by its...
On the Euler-Poincaré characteristics of finite dimensional -adic Galois representations
Page 1