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 …

We present a comprehensive study of the geometry of Hilbert $ p $-adic eigenvarieties at
parallel weight one intersection points of their cuspidal and Eisenstein loci. The Galois …

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 $ p $ be an odd prime. We prove the cyclotomic Iwasawa Main Conjecture of K. Kato for
the motive attached to an eigencuspform $ f\in S_ {k}(\Gamma_ {0}(N)) $ with arbitrary …

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 …

We construct $ p $-adic $ L $-functions associated with $ p $-refined cohomological
cuspidal Hilbert modular forms over any totally real field under a mild hypothesis. Our …

Let F be a totally real field and let p be an odd prime which is totally split in F. We define and
study one-dimensional 'partial'eigenvarieties interpolating Hilbert modular forms over F with …

In earlier work, the first named author generalized the construction of Darmon-style-
invariants for representations of definite unitary groups of arbitrary rank. Finally, we study the …

Plectic points were introduced by Fornea and Gehrmann as certain tensor products of local
pointson elliptic curves over arbitrary number fields $ F $. In rank $ r\leq [F:\mathbb {Q}] …

Let $ f $ be a Bianchi modular form, that is, an automorphic form for $\mathrm {GL} _2 $ over
an imaginary quadratic field $ F $. In this paper, we prove an exceptional zero conjecture in …