83 citations
- École Normale Supérieure - PSLFR33 papers
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5 papers · 1 filter
Existence et equidistribution des matrices de denominateur n dans les groupes unitaires et orthogonaux
Antonin Guilloux
We study some subsets of rational points in an algebraic groups defined by open conditions on their projection in the finite adeles points. Using adelic mixing we are able to prove…
Fonctions constructibles exponentielles, transformation de Fourier motivique et principe de transfert
R. Cluckers, F. Loeser
We introduce spaces of exponential constructible functions in the motivic setting for which we construct direct image functors in the absolute and relative cases. This allows us to…
Lissite de la courbe de Hecke de GL(2) aux points Eisenstein critiques
Joel Bellaiche, Gaetan Chenevier
Let p be a prime number and C be the p-adic tame level 1 eigencurve introduced by Coleman-Mazur. We prove that C is smooth at the evil Eisenstein points and we give necessary and s…
Converging sequences of p-adic Galois representations and density theorems
Joel Bellaiche, Gaetan Chenevier, Chandrashekhar Khare +1
We consider limits of p-adic Galois representations, study different notions of convergence for such representations, and prove Cebotarev-type density theorems for them.
Analytic p-adic Cell Decomposition and Integrals
Raf Cluckers
We prove a conjecture of Denef on parameterized -adic analytic integrals using an analytic cell decomposition theorem, which we also prove in this paper. This cell decomposition…