Rigidity of p -adic cohomology classes of congruence subgroups of GL(n , ℤ)

DOI10.1112/plms/pdm048zbMath1206.11067arXivmath/0609065OpenAlexW2050568957MaRDI QIDQ5449968

Avner Ash, Glenn Stevens, David Pollack

Publication date: 19 March 2008

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0609065

zbMATH Keywords

cohomology of arithmetic groupssystems of Hecke eigenvalues\(p\)-adic deformations of arithmetic eigenpackets

Mathematics Subject Classification ID

(p)-adic theory, local fields (11F85) Hecke-Petersson operators, differential operators (several variables) (11F60) Cohomology of arithmetic groups (11F75)

Related Items (7)

Families of Bianchi modular symbols: critical base-change \(p\)-adic \(L\)-functions and \(p\)-adic Artin formalism ⋮ Unlikely intersections on the \(p\)-adic formal ball ⋮ Twisted eigenvarieties and self-dual representations ⋮ Eigenvarieties for reductive groups ⋮ On the \(\mathrm {GL}_n\)-eigenvariety and a conjecture of Venkatesh ⋮ A finiteness result for \(p\)-adic families of Bianchi modular forms ⋮ Overconvergent cohomology, \(p\)-adic \(L\)-functions and families for \(\mathrm{GL}(2)\) over CM fields

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