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Bernstein Eigenvarieties
We construct parabolic analogues of (global) eigenvarieties, of patched eigenvarieties and of (local) trianguline varieties, that we call,...
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The p-adic Shintani modular symbol and evil Eisenstein series
We compute the p -adic L -functions of evil Eisenstein series using an explicit Eisenstein modular symbol constructed from Shintani cocycles.
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Big Image of Galois Representations Associated with Finite Slope p-adic Families of Modular Forms
We prove that the Lie algebra of the image of the Galois representation associated with a finite slope family of modular forms contains a congruence... -
First Order p-Adic Deformations of Weight One Newforms
This article studies the first-order p-adic deformations of classical weight one newforms, relating their fourier coefficients to the p-adic... -
On Slope Subspaces of Cohomology of p-adic Verma Modules
We determine bounds for the dimension of the slope subspaces of cohomology groups of arithmetic subgroups of semi simple algebraic groups... -
Companion points and locally analytic socle for GL2(L)
Let L be a finite extension of ℚ p . We prove under mild hypotheses Breuil’s locally analytic socle conjecture for GL 2 ( L ), showing the existence of all...
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Stark points and the Hida–Rankin p-adic L-function
This article is devoted to the elliptic Stark conjecture formulated by Darmon (Forum Math Pi 3:e8,
2015 ), which proposes a formula for the... -
Nearly Overconvergent Modular Forms
We introduce and study finite slope nearly overconvergent (elliptic) modular forms. We give an application of this notion to the construction of the... -
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Overconvergent modular sheaves and modular forms for GL 2/F
Given a totally real field F and a prime integer p which is unramified in F , we construct p -adic families of overconvergent Hilbert modular forms (of...
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Overconvergent Modular Symbols
In this paper, we give an introduction to the theory of overconvergent modular symbols and their connection to p-adic L-functions. Alongside the... -
A p-adic Labesse–Langlands transfer
We prove a p -adic Labesse–Langlands transfer from the group of units in a definite quaternion algebra to its subgroup of norm one elements. More...
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Elliptic curves of rank two and generalised Kato classes
Heegner points play an outstanding role in the study of the Birch and Swinnerton-Dyer conjecture, providing canonical Mordell–Weil generators whose...
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L-functions of symmetric powers of Kloosterman sums (unit root L-functions and p-adic estimates)
The L -function of symmetric powers of classical Kloosterman sums is a polynomial whose degree is now known, as well as the complex absolute values of...
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Computations with Modular Forms Proceedings of a Summer School and Conference, Heidelberg, August/September 2011
This volume contains original research articles, survey articles and lecture notes related to the Computations with Modular Forms 2011 Summer School...