arXiv:2210.01404v2 [math.NT] 1 Feb 2023 Page 1 An introduction to the categorical p-adic
Langlands program Matthew Emerton, Toby Gee, and Eugen Hellmann Abstract. We give an …

​ This book discusses the p-adic modular forms, the eigencurve that parameterize them,
and the p-adic L-functions one can associate to them. These theories and their …

En utilisant le système de Taylor–Wiles–Kisin construit dans un travail récent de Caraiani,
Emerton, Gee, Geraghty, Paškūnas et Shin, nous construisons un analogue de la variété de …

arXiv:2002.06845v2 [math.NT] 11 Sep 2022 Page 1 Épijournal de Géométrie Algébrique
epiga.episciences.org Volume 6 (2022), Article Nr. 16 Higher Hida and Coleman theories on the …

Abstract Recently, Andreatta, Iovita and Pilloni constructed spaces of overconvergent
modular forms in characteristic p, together with a natural extension of the Coleman–Mazur …

We give a new construction of overconvergent modular forms of arbitrary weights, defining
them in terms of functions on certain affinoid subsets of Scholze's infinite-level modular …

We show that the compactly supported cohomology of certain. More precisely, we use the
vanishing result for Shimura varieties to eliminate the nilpotent ideal in the construction of …

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 study the cohomology of families of-modules with coefficients in pseudoaffinoid
algebras. We prove that they have finite cohomology, and we deduce an Euler characteristic …

We prove a strong form of the trivial zero conjecture at the central point for the p-adic L-
function of a non-critically refined self-dual cohomological cuspidal automorphic …