Potential level-lowering for GSp(4)

DOI10.1017/S147474800900005XzbMath1257.11044arXiv0804.0588MaRDI QIDQ5191327

Claus Mazanti Sorensen

Publication date: 29 July 2009

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0804.0588

zbMATH Keywords

trace formulaHilbert-Siegel modular formslevel-lowering congruences

Mathematics Subject Classification ID

Congruences for modular and (p)-adic modular forms (11F33) Galois representations (11F80) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Related Items (4)

A geometric Jacquet-Langlands correspondence for paramodular Siegel threefolds ⋮ Deformation Theory and Local-Global Compatibility of Langlands Correspondences ⋮ On the computation of algebraic modular forms on compact inner forms of 𝐆𝐒𝐩₄ ⋮ Ordinary representations of \(G(\mathbb{Q}_p)\) and fundamental algebraic representations

Cites Work

• Unnamed Item
• On local character relations
• On the Saito-Kurokawa lifting
• Stable trace formula: Elliptic singular terms
• On the decomposition of reducible principal series representations of p- adic Chevalley groups
• On the functional equations satisfied by Eisenstein series
• Hecke eigenvalues of Siegel modular forms (mod \(p\)) and of algebraic modular forms
• L-indistinguishability for real groups
• Base change and a problem of Serre
• Modular elliptic curves and Fermat's Last Theorem
• Algebraic modular forms
• The Selberg trace formula for groups of F-rank one
• The CAP representations of GSp (4,).
• Reducibility of Principal Series Representations of p-Adic Chevalley Groups
• The nonarchimedean theta correspondence for $\mathrm {GSp}(2)$ and $\mathrm {GO}(4)$
• The fundamental lemma for $Sp(4)$

This page was built for publication: Potential level-lowering for GSp(4)