Iwasawa theory information

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...

conjecture of Iwasawa theory is a deep relationship between p-adic L-functions and ideal class groups of cyclotomic fields, proved by Kenkichi Iwasawa for primes...

Japanese mathematician who is known for his influence on algebraic number theory. Iwasawa was born in Shinshuku-mura, a town near Kiryū, in Gunma Prefecture...

Intersection theory — Invariant theory — Iwasawa theory — K-theory — KK-theory — Knot theory — L-theory — Lie theory — Littlewood–Paley theory — Matrix theory —...

Ideal theory Index theory Information theory Invariant theory Iwasawa theory K-theory Knot theory L-theory Lattice theory Lie theory M-theory Measure...

theorem Hasse norm theorem Artin reciprocity Local class field theory Iwasawa theory Herbrand–Ribet theorem Vandiver's conjecture Stickelberger's theorem...

curves and modular forms, starting with Barry Mazur’s generalizations of Iwasawa theory. In the early 1980s, Wiles moved to Princeton University from Cambridge...

An example of an active area of research in algebraic number theory is Iwasawa theory. The Langlands program, one of the main current large-scale research...

Commutative Iwasawa algebras were introduced by Iwasawa (1959) in his study of Zp extensions in Iwasawa theory, and non-commutative Iwasawa algebras of...

explicit class field theory is used in many subareas of algebraic number theory such as Iwasawa theory and Galois modules theory. Most main achievements...

mathematical finance. Iwasawa theory and the Main conjecture of Iwasawa theory Initially created by Kenkichi Iwasawa, Iwasawa theory was originally developed...

known for his work related to arithmetic number theory, in particular applications to Iwasawa Theory and p-adic measures. He has also published articles...

Ramdorai (born 1962) is an algebraic number theorist known for her work on Iwasawa theory. She is a professor of mathematics and Canada Research Chair at University...

Université Sorbonne Paris Nord working in number theory and automorphic forms, particularly Iwasawa theory. Tilouine received his PhD in mathematics from...

constructions of modern algebraic geometry, such as the category of schemes and Iwasawa theory, and other 20th-century techniques not available to Fermat. An important...

] {\displaystyle \mathbf {Z} _{p}[[t]]} (also called Iwasawa algebra) occurs in Iwasawa theory in the description of finitely generated modules over...

groups. This led to Karl Rubin's new proof of the main conjecture of Iwasawa theory, considered simpler than the original proof due to Barry Mazur and Andrew...

mathematics at Columbia University working in number theory and automorphic forms, particularly Iwasawa theory. Urban received his PhD in mathematics from Paris-Sud...

the application. In category theory, 1 is the terminal object of a category if there is a unique morphism. In number theory, 1 is the value of Legendre's...

Indian Institute of Science in 2019. Kakde proved the main conjecture of Iwasawa theory in the totally real μ = 0 case. Together with Samit Dasgupta and Kevin...

elements. Also in set theory, 0 is the lowest ordinal number, corresponding to the empty set viewed as a well-ordered set. In order theory (and especially its...