Spherical varieties and norm relations in Iwasawa theory
D Loeffler - Journal de théorie des nombres de Bordeaux, 2021 - numdam.org
Norm-compatible families of cohomology classes for Shimura varieties, and other arithmetic
symmetric spaces, play an important role in Iwasawa theory of automorphic forms. The aim …
symmetric spaces, play an important role in Iwasawa theory of automorphic forms. The aim …
Spherical varieties and p-adic families of cohomology classes
We prove a" twist-compatibility" result for p-adic families of cohomology classes associated
to symmetric spaces. This shows that a single family of classes (lying in a finitely-generated …
to symmetric spaces. This shows that a single family of classes (lying in a finitely-generated …
P-adic L-functions for GL (3)
D Loeffler, C Williams - arXiv preprint arXiv:2111.04535, 2021 - arxiv.org
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 …
(\mathbb {A} _ {\mathbb {Q}}) $. When $\Pi $ is $ p $-ordinary for the maximal standard …
Motivic action for Siegel modular forms
A Horawa, K Prasanna - arXiv preprint arXiv:2307.04115, 2023 - arxiv.org
We study the coherent cohomology of automorphic sheaves corresponding to Siegel
modular forms $ f $ of low weight on ${\rm GSp}(4) $ Shimura varieties. Inspired by the work …
modular forms $ f $ of low weight on ${\rm GSp}(4) $ Shimura varieties. Inspired by the work …
Non-reductive special cycles and Twisted Arithmetic Fundamental Lemma
Z Zhang - arXiv preprint arXiv:2406.00986, 2024 - arxiv.org
We consider arithmetic analogs of the relative Langlands program and applications of new
non-reductive geometry. Firstly, we introduce mirabolic special cycles, which produce …
non-reductive geometry. Firstly, we introduce mirabolic special cycles, which produce …
p-adic Asai L-functions Attached to Bianchi Cusp Forms
B Balasubramanyam, E Ghate, R Vangala - Modular Forms and Related …, 2020 - Springer
We establish a rationality result for the twisted Asai L-values attached to a Bianchi cusp form
and construct distributions interpolating these L-values. Using the method of abstract …
and construct distributions interpolating these L-values. Using the method of abstract …
Spherical varieties and p-adic families of cohomology classes
R Rockwood, D Loeffler, S Zerbes - Elliptic curves and modular …, 2024 - kclpure.kcl.ac.uk
We prove a “twist-compatibility” result for p-adic families of cohomology classes associated
to symmetric spaces. This shows that a single family of classes (lying in a finitely-generated …
to symmetric spaces. This shows that a single family of classes (lying in a finitely-generated …
A construction of p-adic Asai L-functions for over CM fields
K Namikawa - manuscripta mathematica, 2022 - Springer
We give a construction of p-adic Asai L-functions for cohomological cuspidal automorphic
representations of GL _2 GL 2 over CM fields. If the base field is imaginary quadratic …
representations of GL _2 GL 2 over CM fields. If the base field is imaginary quadratic …
A CONSTRUCTION OF -ADIC ASAI -FUNCTIONS OVER CM FIELDS (Analytic, geometric and -adic aspects of automorphic forms and -functions)
K NAMIKAWA - 数理解析研究所講究録, 2021 - repository.kulib.kyoto-u.ac.jp
A CONSTRUCTION OF p-ADIC ASAI £-FUNCTIONS OVER CM FIELDS This article is a
report of the author's talk at the conference " Page 1 110 A CONSTRUCTION OF p-ADIC …
report of the author's talk at the conference " Page 1 110 A CONSTRUCTION OF p-ADIC …