Bounds for the multiplicities of cohomological automorphic forms on \(\mathrm{GL}_2\)

DOI10.4007/annals.2012.175.3.13zbMath1319.11026arXiv1103.2472OpenAlexW2110148061MaRDI QIDQ431650

Simon Marshall

Publication date: 29 June 2012

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.2472

zbMATH Keywords

arithmetic groupscohomological automorphic formscompleted cohomology

Mathematics Subject Classification ID

Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41) Cohomology of arithmetic groups (11F75)

Related Items

Multiplicities of cohomological automorphic forms on \(\mathrm{GL}_2\) and \(\mod p\) representations of \(\mathrm{GL}_2(\mathbb{Q}_p)\) ⋮ Lower bounds on the dimension of the cohomology of Bianchi groups via Sczech cocyles ⋮ Families of L-Functions and Their Symmetry ⋮ Congruences between modular forms ⋮ Torsion homology growth and cycle complexity of arithmetic manifolds ⋮ On the growth of cuspidal cohomology of \(\operatorname{GL}_4\) ⋮ Arithmetic Aspects of Bianchi Groups

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• On the interpolation of systems of eigenvalues attached to automorphic Hecke eigenforms
• On discontinuous groups operating on the product of the upper half planes
• The Cohomology of Lattices in SL(2, ℂ)
• Stable real cohomology of arithmetic groups

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