Proof of the main conjecture of noncommutative Iwasawa theory for totally real number fields in certain cases

DOI10.1090/S1056-3911-2011-00539-0zbMath1242.11084arXiv0802.2272WikidataQ122893546 ScholiaQ122893546MaRDI QIDQ3173520

Mahesh Kakde

Publication date: 10 October 2011

Published in: Journal of Algebraic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0802.2272

zbMATH Keywords

Iwasawa theoryzeta-functionsintegral group logarithmWhitehead-group

Mathematics Subject Classification ID

Zeta functions and (L)-functions of number fields (11R42) Iwasawa theory (11R23) (K_1) of group rings and orders (19B28) Totally real fields (11R80)

Related Items (14)

On the “main conjecture” of equivariant Iwasawa theory ⋮ A LOCALISABLE CLASS OF PRIMITIVE IDEALS OF UNIFORM NILPOTENT IWASAWA ALGEBRAS ⋮ On the cohomology of Kobayashi’s plus/minus norm groups and applications ⋮ The main conjecture of Iwasawa theory for totally real fields ⋮ On a noncommutative Iwasawa main conjecture for varieties over finite fields ⋮ Non-abelian \(p\)-adic \(L\)-functions and Eisenstein series of unitary groups -- the CM method ⋮ The Möbius–Wall congruences forp-adicL-functions of CM elliptic curves ⋮ Reductions of the Main Conjecture ⋮ K 1 of Certain Iwasawa Algebras, After Kakde ⋮ On the Work of Ritter and Weiss in Comparison with Kakde’s Approach ⋮ Iwasawa theory of totally real fields for certain non-commutative \(p\)-extensions ⋮ Faithfulness of generalised Verma modules for Iwasawa algebras ⋮ Kato's local epsilon conjecture:l≠pcase ⋮ Some Congruences for Non-CM Elliptic Curves

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