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  • The Millennium Prize Problems - Clay Mathematics Institute
    In order to celebrate mathematics in the new millennium, The Clay Mathematics Institute of Cambridge, Massachusetts (CMI) established seven Prize Problems The Prizes were conceived to record some of the most difficult problems with which mathematicians were grappling at the turn of the second millennium; to elevate in the consciousness of the
  • The Millennium Prize Problems - Clay Mathematics Institute
    about the Millennium Prize Problems: Tate on the Riemann Hypothesis, the Birch and Swinnerton-Dyer Problem, and the P vs NP problem; Atiyah on the Existence and Uniqueness Problem for the Navier–Stokes Equations, the Poincar´e Conjecture, and the Mass Gap problem for Quantum Yang– Mills Theory
  • The Millennium Prize Problems - Clay Mathematics Institute
    The Millennium Prize Problems gives the official description of each of the seven problems and the rules governing the prizes It also contains an essay by Jeremy Gray on the history of prize problems in mathematics
  • Poincaré Conjecture - Clay Mathematics Institute
    Official Problem Description by John Milnor Recent progress on the Poincaré conjecture and the classification of 3-manifolds, by John Morgan Notes on Perelman's papers, by Bruce Kleiner Hamilton-Perelman's proof of the Poincaré Conjecture and the Geometrization Conjecture, by Huai-Dong Cao and Xi-Ping Zhu
  • Navier-Stokes Equation - Clay Mathematics Institute
    The millennium prize problems II 24 May 2000 Read more Timothy Gowers (Cambridge) The importance of mathematics 25 May 2000 Read more Watch more Clay Lectures Further resources Waves follow our boat as we meander across the lake, and turbulent air currents follow our flight in a modern jet Mathematicians and physicists believe that an
  • Hodge Conjecture - Clay Mathematics Institute
    Home — Millennium Problems — Hodge Conjecture Unsolved Hodge Conjecture The answer to this conjecture determines how much of the topology of the solution set of a system of algebraic equations can be defined in terms of further algebraic equations The Hodge conjecture is known in certain special cases, e g , when the solution set has
  • P vs NP - Clay Mathematics Institute
    If it is easy to check that a solution to a problem is correct, is it also easy to solve the problem? This is the essence of the P vs NP question Typical of the NP problems is that of the Hamiltonian Path Problem: given N cities to visit, how can one do this without visiting a city twice?
  • Clay Maths Institute - Clay Mathematics Institute
    Millennium Prize Problems Lecture Series Harvard Science Center, Harvard University
  • Rules for the Millennium Prize Problems - Clay Mathematics Institute
    The revised rules for the Millennium Prize Problems were adopted by the Board of Directors of the Clay Mathematics Institute on 26 September, 2018 Please read this document carefully before contacting CMI about a proposed solution
  • Birch and Swinnerton-Dyer Conjecture - Clay Mathematics Institute
    Mathematicians have always been fascinated by the problem of describing all solutions in whole numbers x,y,z to algebraic equations like x 2 + y 2 = z 2 Euclid gave the complete solution for that equation, but for more complicated equations this becomes extremely difficult





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