In this paper, we prove new results on the geometry of the cuspidal eigenvariety for
$\mathrm {GL} _ {2n} $ over a totally real number field $ F $ at classical points admitting …

Let K be an imaginary quadratic field. In this article, we study the eigenvariety for GL 2/K,
proving an étaleness result for the weight map at non-critical classical points and a …

In this paper, we prove that a GL (2n)-eigenvariety is etale over the (pure) weight space at
non-critical Shalika points, and construct multi-variabled $ p $-adic $ L $-functions varying …

We construct parabolic analogues of (global) eigenvarieties, of patched eigenvarieties and
of (local) trianguline varieties, that we call, respectively, Bernstein eigenvarieties, patched …

We study the $ S $-arithmetic (co) homology of reductive groups over number fields with
coefficients in (duals of) certain locally algebraic and locally analytic representations for …

Let $ F $ be a number field, and $\pi $ a regular algebraic cuspidal automorphic
representation of $\mathrm {GL} _N (\mathbb {A} _F) $ of symplectic type. When $\pi $ is …

Let fnew be a classical newform of weight≥ 2 and prime to p level. We study the arithmetic
of fnew and its unique p‐stabilisation f when fnew is p‐irregular, that is, when its Hecke …

Friedberg--Jacquet proved that if $\pi $ is a cuspidal automorphic representation of
$\mathrm {GL} _ {2n}(\mathbb {A}) $, $\pi $ is a functorial transfer from $\mathrm {GSpin} …

Let $ F $ be a totally real field and $ p $ a rational prime unramified in $ F $. For each subset
$ P $ of primes of $ F $ above $ p $, there is the notion of partially classical Hilbert modular …

Let F be a totally real field and pa rational prime unramified in F. We prove a partial
classicality theorem for overconvergent Hilbert modular forms: when the slope is small …