Category

Millennium Prize Problems

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Riemann hypothesis

conjecture in mathematics linked to the repartition of prime numbers

Poincaré conjecture

theorem in geometric topology that every simply connected, closed 3-manifold is homeomorphic to the 3-sphere

P versus NP problem

unsolved problem in computer science about time complexity

Millennium Problems

seven mathematical problems whose solution is awarded with a US$1 million prize each

Hodge conjecture

conjecture in algebraic geometry that every Hodge class on a nonsingular complex projective manifold is a linear combination with rational coefficients of the cohomology classes of complex subvarieties

Birch and Swinnerton-Dyer conjecture

Navier–Stokes existence and smoothness

Millennium Prize Problem

Yang–Mills existence and mass gap

Millennium Prize Problem