We associate infinitesimal characters to (twisted) families of $ L $-parameters and $ C $-
parameters of $ p $-adic reductive groups. We use the construction to study the action of the …

We formulate a local analogue of the ghost conjecture of Bergdall and Pollack, which
essentially relies purely on the representation theory of GL 2 (Q p). We further study the …

Let F be a totally real number field, B a quaternion algebra of center F such that there exists
only one real place of F where B is split. One can associate to B a system of quaternion …

We prove some qualitative results about the p-adic Jacquet–Langlands correspondence
defined by Scholze, in the residually reducible case, using a vanishing theorem proved by …

The goal of this paper is to study the $ p $-adic variation of Heegner points and generalized
Heegner classes for ordinary families of quaternionic modular forms. We compare classical …

We investigate local-global compatibility for cuspidal automorphic representations π for GL2
over CM fields that are regular algebraic of weight 0. We prove that for a Dirichlet density …

Let F be a totally real number field,℘ a place of F above p. Let ρ be a 2-dimensional p-adic
representation of Gal (F/F) which appears in the étale cohomology of quaternion Shimura …

We prove ap-adic Labesse–Langlands transfer from the group of units in a definite
quaternion algebra to its subgroup of norm one elements. More precisely, given an …

p-adic Families of Cohomological Modular Forms for Indefinite Quaternion Algebras and the
Jacquet–Langlands Correspondence Page 1 Canad. J. Math. Vol. (), pp. – http://dx.doi.org/. /CJM …

We use results by Chenevier to interpolate the classical Jacquet–Langlands
correspondence for Hilbert modular forms, which gives us an extension of Chenevier's …