Kato's local epsilon conjecture:l≠pcase

DOI10.1112/jlms/jdu022zbMath1356.11079arXiv1301.2333OpenAlexW2593212334WikidataQ123260670 ScholiaQ123260670MaRDI QIDQ2874660

Mahesh Kakde

Publication date: 8 August 2014

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

Full work available at URL: https://arxiv.org/abs/1301.2333

zbMATH Keywords

\(L\)-functions\(p\)-adic Lie groupsIwasawa algebrasKato's local \(\varepsilon\)-conjecture

Mathematics Subject Classification ID

Galois representations (11F80) Iwasawa theory (11R23) Zeta functions and (L)-functions (11S40)

Cites Work

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• The main conjecture of Iwasawa theory for totally real fields
• Sur la variation, par torsion, des constantes locales d'équations fonctionnelles de fonctions L
• On the Whitehead determinant for semi-local rings
• The \(\text{GL}_2\) main conjecture for elliptic curves without complex multiplication
• On Kato's local \(\varepsilon\)-isomorphism conjecture for rank-one Iwasawa modules
• \(K_1\) of some non-commutative completed group rings
• Galois invariants of 𝐾₁-groups of Iwasawa algebras.
• Fröhlich's and Chinburg's conjectures in the factorisability defect class group.
• Proof of the main conjecture of noncommutative Iwasawa theory for totally real number fields in certain cases
• Norms of Units in Group Rings
• ON THE STABILIZATION OF THE GENERAL LINEAR GROUP OVER A RING
• Tamagawa numbers for motives with (non-commutative) coefficients

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