21 Übersetzungen
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Anwendungsbeispiele Englisch
weitere Beispiele ...
- Class field theory is used to prove Artin-Verdier duality. Very explicit class field theory is used in many subareas of algebraic number theory such as Iwasawa theory and Galois modules theory.
- Together they worked on the arithmetic of elliptic curves with complex multiplication by the methods of Iwasawa theory.
- Howson received her PhD in mathematics from the University of Cambridge in 1998 with thesis title "Iwasawa Theory of Elliptic Curves for ρ-Adic Lie Extensions" under the supervision of John H.
- He contributed to various other areas such as "p"-adic Hodge theory, logarithmic geometry (he was one of its creators together with Jean-Marc Fontaine and Luc Illusie), comparison conjectures, special values of zeta functions including applications to the Birch-Swinnerton-Dyer conjecture, the Bloch-Kato conjecture on Tamagawa numbers, and Iwasawa theory.
- Iwasawa is known for introducing what is now called Iwasawa theory, which developed from researches on cyclotomic fields from the later 1950s.
- 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 Wiles.
- This idea is much used in Iwasawa theory.
- Algebraic "K"-groups are used in conjectures on special values of L-functions and the formulation of a non-commutative main conjecture of Iwasawa theory and in construction of higher regulators.
- (also called Iwasawa algebra) occurs in Iwasawa theory in the description of finitely generated modules over this ring.
- His work on p-adic L-functions, later recognised as an aspect of Iwasawa theory, was done jointly with Leopoldt.
- The Stickelberger relation also yields information about the structure of the class group of a cyclotomic field as a module over its abelian Galois group (cf Iwasawa theory).
- Among these are the Brumer–Stark conjecture, the Coates-Sinnott conjecture, and a recently developed equivariant version of the main conjecture in Iwasawa theory.
© dict.cc English-German dictionary 2024
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