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Tate duality information


In mathematics, Tate duality or Poitou–Tate duality is a duality theorem for Galois cohomology groups of modules over the Galois group of an algebraic number field or local field, introduced by John Tate (1962) and Georges Poitou (1967).

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Tate duality

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In mathematics, Tate duality or Poitou–Tate duality is a duality theorem for Galois cohomology groups of modules over the Galois group of an algebraic...

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Local Tate duality

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In Galois cohomology, local Tate duality (or simply local duality) is a duality for Galois modules for the absolute Galois group of a non-archimedean...

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Tate pairing

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based on the Tate duality pairings introduced by Tate (1958, 1963) and extended by Lichtenbaum (1969). Rück & Frey (1994) applied the Tate pairing over...

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List of dualities

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Lagrange duality Langlands dual Lefschetz duality Local Tate duality Opposite category Poincaré duality Twisted Poincaré duality Poitou–Tate duality Pontryagin...

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Arithmetic topology

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3-Manifolds and Number Rings, arXiv:0904.3399, Bibcode:2009arXiv0904.3399M J. Tate, Duality theorems in Galois cohomology over number fields, (Proc. Intern. Cong...

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Local duality

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mathematics, local duality may refer to: Local Tate duality of modules over a Galois group of a local field Grothendieck local duality of modules over local...

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Tate

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Tate is an institution that houses, in a network of four art galleries, the United Kingdom's national collection of British art, and international modern...

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Catherine Tate

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Catherine Tate (born Catherine Jane Ford, 5 December 1969) is an English actress, comedian and writer. She has won numerous awards for her work on the...

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Serre duality

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In algebraic geometry, a branch of mathematics, Serre duality is a duality for the coherent sheaf cohomology of algebraic varieties, proved by Jean-Pierre...

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Local Euler characteristic formula

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of K over Qp. The Euler characteristic can be rewritten, using local Tate duality, as χ ( G K , M ) = # H 0 ( K , M ) ⋅ # H 0 ( K , M ′ ) # H 1 ( K , M...

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Algebraic number field

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Galois module plays a significant role in many arithmetic dualities, such as Poitou-Tate duality. The Brauer group of K {\displaystyle K} , originally conceived...

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Tate Martell

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Tathan "Tate" Martell (born January 26, 1998) is a former American football player. He played mainly as a quarterback for the UNLV Rebels and Ohio State...

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Khalil Tate

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for 43 touchdowns. Tate was a consensus 4-star recruit and named a top-ten dual threat quarterback by ESPN. On March 16, 2015, Tate committed to play college...

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Tannakian formalism

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partial Tannaka duality results in the situation where the category is R-linear, where R is no longer a field (as in classical Tannakian duality), but certain...

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Thomas Geisser

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S2CID 59500496. Geisser, Thomas H.; Schmidt, Alexander (23 August 2018). "Poitou–Tate duality for arithmetic schemes". Compositio Mathematica. 154 (9): 2020–2044....

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Will Tate

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loan and dual registration from Hull KR at the Rochdale Hornets in League 1, and at the Dewsbury Rams and Workington Town in the Championship. Tate was born...

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Michael Artin

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mother's father was Jewish. His elder sister is Karin Tate, who was married to mathematician John Tate until the late 1980s. Artin did his undergraduate studies...

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Once Upon a Time in Hollywood

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navigate the rapidly changing film industry, with the looming threat of the Tate murders hanging overhead. Announced in July 2017, it is the first Tarantino...

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Tate twist

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In number theory and algebraic geometry, the Tate twist, named after John Tate, is an operation on Galois modules. For example, if K is a field, GK is...

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Tate module

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In mathematics, a Tate module of an abelian group, named for John Tate, is a module constructed from an abelian group A. Often, this construction is made...

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Grace Van Dien

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Campbell in NBC drama series The Village (2019). She also portrayed Sharon Tate in the Mary Harron-directed film Charlie Says (2018) and Chrissy Cunningham...

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Donavan Tate

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Donavan Reed Tate (born September 27, 1990) is an American former college football quarterback for the University of Arizona Wildcats. Previously, he was...

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