Yang-Mills and the Mass Gap
Nobel laureate Martin Hairer discusses the mathematical challenges surrounding the Yang-Mills existence and mass gap problem, a central topic in theoretical physics and mathematics.
Research conferences, summer schools, and Millennium Prize lectures advancing pure mathematics and theoretical geometry.
Self-contained research seminars, public lectures, and invited colloquia.
Nobel laureate Martin Hairer discusses the mathematical challenges surrounding the Yang-Mills existence and mass gap problem, a central topic in theoretical physics and mathematics.
An advanced exposition on orthogonal projections, focusing on results and open problems concerning restricted families of directions within geometric measure theory and harmonic analysis.
A comprehensive overview of recent advancements in the study of zeta and L-functions, directly motivated by the enduring challenge of the Riemann Hypothesis.
An anniversary reflection on the Birch-Swinnerton-Dyer Conjecture, a profound problem in number theory concerning elliptic curves and L-functions, presented by a leading expert.
An advanced lecture on the Ricci flow, exploring its profound implications and developments in geometric analysis following Perelman's groundbreaking work on the Poincaré Conjecture.
A detailed investigation into the stable homotopy groups of spheres, exploring fundamental structures and recent advancements in this core area of algebraic topology.
Professors, researchers, and invited lecturers recorded at Clay Mathematics Institute.
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