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.
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 dimension less than four. But in dimension four it is unknown.
Riemann Hypothesis
The prime number theorem determines the average distribution of the primes. The Riemann hypothesis tells us about the deviation from the average. Formulated in Riemann’s 1859 paper, it asserts that all the ‘non-obvious’ zeros of the zeta function are complex numbers with real part 1/2.
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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