Derived Hecke algebra and automorphic ℒ-invariants

DOI10.1090/tran/7815zbMath1472.11141arXiv1805.00392OpenAlexW3122409610MaRDI QIDQ5243087

Lennart Gehrmann

Publication date: 14 November 2019

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.00392

zbMATH Keywords

Steinberg representationcohomological cuspidal automorphic representation

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) (p)-adic theory, local fields (11F85) 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

Big principal series, -adic families and -invariants, Parabolic eigenvarieties via overconvergent cohomology, Automorphic \(\mathcal{L} \)-invariants for reductive groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Eisenstein cohomology of arithmetic groups. The case \(GL_ 2\)
• On eigenspaces of the Hecke algebra with respect to a good maximal compact subgroup of a p-adic reductive group
• Modular representations of \(GL_ 2\) of a local field: The ordinary, unramified case
• On special zeros of \(p\)-adic \(L\)-functions of Hilbert modular forms
• [https://portal.mardi4nfdi.de/wiki/Publication:4676597 Invariant et s�rie sp�ciale -adique]
• An Elementary Proof of a Weak Exceptional Zero Conjecture
• Exceptional zeros and $\mathcal {L}$-invariants of Bianchi modular forms
• Integration on \({\mathcal H_p}\times\mathcal H\) and arithmetic applications.