Class field theory | Cyclotomic fields | Field (mathematics)

Iwasawa theory

In number theory, Iwasawa theory is the study of objects of arithmetic interest over infinite towers of number fields. It began as a Galois module theory of ideal class groups, initiated by Kenkichi Iwasawa (岩澤 健吉), as part of the theory of cyclotomic fields. In the early 1970s, Barry Mazur considered generalizations of Iwasawa theory to abelian varieties. More recently (early 1990s), Ralph Greenberg has proposed an Iwasawa theory for motives. (Wikipedia).

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Root numbers and parity of local Iwasawa invariants by Suman Ahmed

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Iwasawa Main Conjecture for Universal Families by Xin Wan

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A twisting result in non-commutative Iwasawa theory by Somnath Jha

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An ergodic approach towards an equidistribution result of Ferrero–Washington by Bharathwaj Palvannan

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Related pages

Abelian variety | Totally real number field | Tower of fields | Inverse limit | Ferrero–Washington theorem | Krull dimension | Regular local ring | Interpolation | Fermat's Last Theorem | Bernoulli number | General linear group | Cyclotomic field | Main conjecture of Iwasawa theory | P-adic L-function | Herbrand–Ribet theorem | Regular prime | Euler system | Motive (algebraic geometry) | Galois module | Number theory | Galois group | Dirichlet L-function | Ernst Kummer | Field norm | Iwasawa algebra | Module (mathematics) | Ideal class group