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 …

Let $ A $ be a modular abelian surface over $ Q $ which either has trivial geometric
endomorphism ring, or arises as the restriction of scalars of an elliptic curve over an …

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 …

Let $\Pi $ be a regular algebraic cuspidal automorphic representation of $\mathrm {GL} _3
(\mathbb {A} _ {\mathbb {Q}}) $. When $\Pi $ is $ p $-ordinary for the maximal standard …

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 …

We generalise Pollack's construction of plus/minus L-functions to certain cuspidal
automorphic representations of GL 2 n using the p-adic L-functions constructed in work of …

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 Π be a cuspidal automorphic representation of GL 2 n (AQ), and let p be an odd prime at
which Π is unramified. In a recent work, Barrera, Dimitrov and Williams constructed possibly …

The study of overconvergent cohomology, initiated by Pollack and Stevens in the setting of
classical modular forms, has now been used to construct p-adic L-functions in a number of …

We prove the Bloch--Kato conjecture for certain critical values of degree 8$ L $-functions
associated to cusp forms on $\mathrm {GSp} _4\times\mathrm {GL} _2 $. We also construct a …