scientific article

Publication date: 26 October 2009

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

equivariant Tamagawa number conjecture Iwasawa main conjecture construction of (conjectural) $p$-adic zeta functions localized $K_ 1$-groups

Mathematics Subject Classification ID

Integral representations (11S23) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Iwasawa theory (11R23) Zeta functions and (L)-functions (11S40)

Related Items (74)

Exterior powers in Iwasawa theory ⋮ Notes on the module of Euler systems for $p$-adic representations ⋮ Unit $L$-functions for étale sheaves of modules over noncommutative rings ⋮ Kato's local $\varepsilon$-conjecture in dimension 2 ⋮ Stark systems and equivariant main conjectures ⋮ On the “main conjecture” of equivariant Iwasawa theory ⋮ Proof of the main conjecture of noncommutative Iwasawa theory for totally real number fields in certain cases ⋮ Equivariant epsilon conjecture for 1-dimensional Lubin-Tate groups ⋮ On non-abelian higher special elements of $p$-adic representations ⋮ $\mathfrak{M}_H(G)$-property and congruence of Galois representations ⋮ Modular symbols and the integrality of zeta elements ⋮ The $\text{GL}_2$ main conjecture for elliptic curves without complex multiplication ⋮ On order of vanishing of characteristic elements ⋮ On the growth of even $K$-groups of rings of integers in $p$-adic Lie extensions ⋮ Fitting ideals in two-variable equivariant Iwasawa theory and an application to CM elliptic curves ⋮ On the structure of the module of Euler systems for a $p$-adic representation ⋮ The main conjecture of Iwasawa theory for totally real fields ⋮ Finite submodules of Iwasawa modules for multi-variable extensions ⋮ The integral logarithm in Iwasawa theory: an exercise ⋮ On the non commutative Iwasawa main conjecture for abelian varieties over function fields ⋮ On generalised Kummer congruences and higher rank Iwasawa theory at arbitrary weights ⋮ Reciprocity maps with restricted ramification ⋮ On free resolutions of Iwasawa modules ⋮ Herr‐complexes in the Lubin–Tate setting ⋮ Annihilation of Selmer groups for monomial CM-extensions ⋮ Zeta morphisms for rank two universal deformations ⋮ Level compatibility in Sharifi’s conjecture ⋮ Elementary module associated to Selmer group of Artin representation ⋮ The Eisenstein ideal for weight $k$ and a Bloch-Kato conjecture for tame families ⋮ Ordinary pseudorepresentations and modular forms ⋮ $K_{1}$ of a $p$-adic group ring. I. The determinantal image ⋮ Arithmetic Chern–Simons Theory II ⋮ P-adic L-functions in universal deformation families ⋮ On a noncommutative Iwasawa main conjecture for varieties over finite fields ⋮ Poitou-Tate duality over extensions of global fields ⋮ Control theorem and functional equation of Selmer groups over $p$-adic Lie extensions ⋮ On Geometric Iwasawa Theory and Special Values of Zeta Functions ⋮ Non-abelian $p$-adic $L$-functions and Eisenstein series of unitary groups -- the CM method ⋮ On the p‐adic Stark conjecture at s=1 and applications ⋮ 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 ⋮ Towards a conjecture of Sharifi ⋮ Iwasawa theory of totally real fields for certain non-commutative $p$-extensions ⋮ Iwasawa theory for the symmetric square of a modular form ⋮ Congruences between derivatives of geometric $L$-functions. With an appendix by David Burns, King Fai Lai and Ki-Seng Tan ⋮ $\mathrm{K}_1$ of a $p$-adic group ring. II: The determinantal kernel $\mathrm{SK}_1$ ⋮ $p$-adic properties of motivic fundamental lines ⋮ Arithmetic gauge theory: A brief introduction ⋮ $p^r$-Selmer companion modular forms ⋮ On the Galois structure of arithmetic cohomology. III: Selmer groups of critical motives ⋮ Euler systems with local conditions ⋮ On Stark elements of arbitrary weight and their $p$-adic families ⋮ A representative of RΓ(N,T) for higher dimensional twists of ℤpr(1) ⋮ Non-communtative Iwasawa main conjecture ⋮ Algebraic $p$-adic $L$-functions in non-commutative Iwasawa theory ⋮ On the $p$-adic Beilinson conjecture and the equivariant Tamagawa number conjecture ⋮ On the non-abelian Brumer-Stark conjecture and the equivariant Iwasawa main conjecture ⋮ Non-commutative $L$-functions for $p$-adic representations over totally real fields ⋮ Equivariant Tamagawa number conjecture for Abelian varieties over global fields of positive characteristic ⋮ Wach Modules, Regulator Maps, and $\varepsilon$-Isomorphisms in Families ⋮ $K_1$ of some non-commutative completed group rings ⋮ Local epsilon isomorphisms ⋮ Fine Selmer Groups and Isogeny Invariance ⋮ Modular Symbols in Iwasawa Theory ⋮ On Equivariant Characteristic Ideals of Real Classes ⋮ Noncommutative L-Functions for Varieties over Finite Fields ⋮ On completely faithful Selmer groups of elliptic curves and Hida deformations ⋮ Generalized Bockstein maps and Massey products ⋮ Kato's local epsilon conjecture:l≠pcase ⋮ Higher adeles and non-abelian Riemann-Roch ⋮ Some Congruences for Non-CM Elliptic Curves ⋮ Coates–Wiles Homomorphisms and Iwasawa Cohomology for Lubin–Tate Extensions ⋮ On universal norms for $p$-adic representations in higher-rank Iwasawa theory

This page was built for publication: