2024 Clay Research Conference and Workshops
The 2024 Clay Research Conference will be held on Wednesday, 2 October. Associated workshops will be held during the week of the conference, 30 September-4 October.
The Clay Mathematics Institute is a global organisation dedicated to furthering the beauty, power and universality of mathematical thought.
Yang-Mills & The Mass Gap
Experiment and computer simulations suggest the existence of a “mass gap” in the solution to the quantum versions of the Yang-Mills equations. But no proof of this property is known.
Poincaré Conjecture
In 1904 the French mathematician Henri Poincaré asked if the three dimensional sphere is characterized as the unique simply connected three manifold. This question, the Poincaré conjecture, was a special case of Thurston’s geometrization conjecture. Perelman’s proof tells us that every three manifold is built from a set of standard pieces, each with one of eight well-understood geometries.
P vs NP
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? If you give me a solution, I can easily check that it is correct. But I cannot so easily find a solution.
Arithmetic, Geometry, Space and Time: a Workshop on the Occasion of Minhyong Kim’s 61st Birthday
ICMS Edinburgh
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Arizona Winter School 2025
University of Arizona
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Rocky Mountain Mathematics Consortium Summer School
University of Wyoming
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The William Rowan Hamilton Geometry and Topology Workshop: Celebrating Martin Bridson’s 60th Birthday
Trinity College Dublin
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