Level compatibility in Sharifi’s conjecture

DOI10.4153/s0008439523000267arXiv2208.06921OpenAlexW4364382123WikidataQ122860736 ScholiaQ122860736MaRDI QIDQ6082438

Emmanuel Lecouturier, Jun Wang

Publication date: 6 November 2023

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.06921

zbMATH Keywords

modular symbolsEisenstein idealEisenstein cocycleSharifi's conjectureK-theory of cyclotomic fields

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Modular and Shimura varieties (14G35) (K)-theory of global fields (11R70) Galois cohomology (11R34)

Cites Work

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• A reciprocity map and the two-variable \(p\)-adic \(L\)-function
• Relations between \(K_2\) and Galois cohomology
• Hasse invariant and group cohomology
• Level compatibility in the passage from modular symbols to cup products
• On a Conjecture of Sharifi and Mazur’s Eisenstein Ideal
• Modular Symbols in Iwasawa Theory

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