p-adic cycle
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Vanishing cycle — In mathematics, vanishing cycles are studied in singularity theory and other part of algebraic geometry. They are those homology cycles of a smooth fiber in a family which vanish in the singular fiber.A classical result is the Picard Lefschetz… … Wikipedia
Collatz conjecture — Directed graph showing the orbits of small numbers under the Collatz map. The Collatz conjecture is equivalent to the statement that all paths eventually lead to 1 … Wikipedia
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Tate conjecture — In mathematics, the Tate conjecture is a 1963 conjecture of John Tate linking algebraic geometry, and more specifically the identification of algebraic cycles, with Galois modules coming from étale cohomology. It is unsolved in the general case,… … Wikipedia
Weil cohomology theory — In algebraic geometry, a subfield of mathematics, a Weil cohomology or Weil cohomology theory is a cohomology satisfying certain axioms concerning the interplay of algebraic cycles and cohomology groups. The name is in honour of André Weil. Weil… … Wikipedia
Cyclic group — Group theory Group theory … Wikipedia
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Hodge structure — In mathematics, a Hodge structure, named after W. V. D. Hodge, is an algebraic structure at the level of linear algebra, similar to the one that Hodge theory gives to the cohomology groups of a smooth and compact Kähler manifold. A mixed Hodge… … Wikipedia
People associated with the University of Manchester — Many famous people have worked or studied at the Victoria University of Manchester and the University of Manchester Institute of Science and Technology institutions which merged in 2004 to form the University of Manchester. The names of the 23… … Wikipedia
John Tate — John Torrence Tate Jr., born March 13, 1925 in Minneapolis, Minnesota, is an American mathematician, distinguished for many fundamental contributions in algebraic number theory and related areas in algebraic geometry. He wrote a Ph.D. at… … Wikipedia