We construct three-variable $ p $-adic families of Galois cohomology classes attached to
Rankin convolutions of modular forms, and prove an explicit reciprocity law relating these …

In this paper, we prove the “local ε-isomorphism” conjecture of Fukaya and Kato for a
particular class of Galois modules, obtained by interpolating the twists of a fixed crystalline …

We construct an Euler system of $ p $-adic zeta elements over the eigencurve which
interpolates Kato's zeta elements over all classical points. Applying a big regulator map …

Selmer complexes and the p-adic hodge theory Page 71 3 Selmer complexes and p -adic
Hodge theory Denis Benois Institut de Mathématiques, Université de Bordeaux, 351, cours de …

Our goal in this article is to prove a form of $ p $-adic Birch and Swinnerton-Dyer formula for
the second derivative of the $ p $-adic $ L $-function associated to a newform $ f $ which is …

The dual exponential map 3 Perrin-Riou's big logarithm Iwasawa cohomology The Perrin-
Riou big logarithm (or regulator) map Explicit formulae for the regulator 4 A fundamental …

In the first part, we introduce theory of p-adic analysis for one variable p-adic functions and
then use them to construct Kubota-Leopoldt p-adic L-functions. In the second part, we give a …