Mumford conjecture

Mumford conjecture

There are several conjectures in mathematics by David Mumford.

  • Mumford's conjecture about reductive groups, now called Haboush's theorem.
  • The Mumford conjecture on the cohomology of the stable mapping class group, proved by Ib Madsen and Michael Weiss.
  • The Manin-Mumford conjecture about Jacobians of curves, proved by Michel Raynaud.

Wikimedia Foundation. 2010.

Игры ⚽ Нужна курсовая?

Look at other dictionaries:

  • Mumford–Tate group — In algebraic geometry, the Mumford–Tate group MT(F) constructed from a Hodge structure F is a certain algebraic group G, named for David Mumford and John Tate. When F is given by a rational representation of an algebraic torus, the definition of… …   Wikipedia

  • David Mumford — in 1975 Born 11 June 1937 (1937 06 11) (age 74) …   Wikipedia

  • David Mumford — David Bryant Mumford (né le 11 juin 1937) est un mathématicien américain connu pour son travail en géométrie algébrique puis pour sa recherche en théorie de la vision. Il est actuellement professeur dans la division de mathématiques… …   Wikipédia en Français

  • Bogomolov conjecture — In mathematics, the Bogomolov conjecture generalises the Manin Mumford conjecture. It says that given a curve C of genus geq 2 over a number field K together with an embedding into its Jacobian J, the number of overline{K} rational points in C… …   Wikipedia

  • Hodge conjecture — The Hodge conjecture is a major unsolved problem in algebraic geometry which relates the algebraic topology of a non singular complex algebraic variety and the subvarieties of that variety. More specifically, the conjecture says that certain de… …   Wikipedia

  • David Bryant Mumford — David Mumford David Bryant Mumford (né le 11 juin 1937) est un mathématicien américain connu pour son travail en géométrie algébrique puis pour sa recherche en théorie de la vision. Il est actuellement professeur dans la division de… …   Wikipédia en Français

  • Arithmetic of abelian varieties — In mathematics, the arithmetic of abelian varieties is the study of the number theory of an abelian variety, or family of those. It goes back to the studies of Fermat on what are now recognised as elliptic curves; and has become a very… …   Wikipedia

  • List of conjectures — This is an incomplete list of mathematical conjectures. They are divided into four sections, according to their status in 2007. See also: * Erdős conjecture, which lists conjectures of Paul Erdős and his collaborators * Unsolved problems in… …   Wikipedia

  • Haboush's theorem — In mathematics Haboush s theorem, often still referred to as the Mumford conjecture, states that for any semisimple algebraic group G over a field K , and for any linear representation ρ of G on a K vector space V , given v ne;0 in V that is… …   Wikipedia

  • List of mathematics articles (M) — NOTOC M M estimator M group M matrix M separation M set M. C. Escher s legacy M. Riesz extension theorem M/M/1 model Maass wave form Mac Lane s planarity criterion Macaulay brackets Macbeath surface MacCormack method Macdonald polynomial Machin… …   Wikipedia

Share the article and excerpts

Direct link
… Do a right-click on the link above
and select “Copy Link”