We construct a Euler system in the cohomology of the tensor product of the Galois
representations attached to two modular forms, using elements in the higher Chow groups of …

​ This book discusses the p-adic modular forms, the eigencurve that parameterize them,
and the p-adic L-functions one can associate to them. These theories and their …

R.–Cet article est une exploration constructive des rapports entre les symboles
modulaires classiques et les symboles modulaires p-adiques surconvergents. Plus …

Si M est un motif défini sur un corps de nombres, on sait lui associer (au moins
conjecturalement) une fonction analytique complexe L (M, s) définie par un produit eulérien …

We define a family of Coleman maps for positive crystalline p-adic representations of the
absolute Galois group of Qp using the theory of Wach modules. Let f=∑ anqn be a …

Heegner points and Beilinson–Kato elements: A conjecture of Perrin-Riou - ScienceDirect
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Using the theory of $(\phi,\Gamma) $-modules we generalize Greenberg's construction of
the $\cal {L} $-invariant to $ p $-adic representations which are semistable at $ p $.\This …

We generalise works of Kobayashi to give a formulation of the Iwasawa main conjecture for
modular forms at supersingular primes. In particular, we give analogous definitions of the …

Let GG be a connected reductive group over QQ such that G= G/Q _p G= G/Q p is quasi-split,
and let Q ⊂ GQ⊂ G be a parabolic subgroup. We introduce parahoric overconvergent …

The theory of overconvergent modular symbols, developed by Rob Pollack and Glenn
Stevens, gives a beautiful and effective construction of the p‐adic L‐function of a modular …