# 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 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.

CMI invites proposals under the Enhancement and Partnership Program for fiscal year 2025 (1 October 2024-30 September 2025) and later. The principal aim of the program is to enhance activities that are already planned and financially viable.

The Clay Mathematics Institute (CMI) calls for nominations for its competition for the 2025 Clay Research Fellowships.

The Clay Mathematics Institute is a global organisation dedicated to furthering the beauty, power and universality of mathematical thought.

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.

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.

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.

25 - 29 November 2024
### Arithmetic, Geometry, Space and Time: a Workshop on the Occasion of Minhyong Kim’s 61st Birthday

ICMS Edinburgh

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19 - 23 August 2024
### Topology of Moduli Spaces

University of Copenhagen

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2 - 6 September 2024
### New Methods in Finsler Geometry

University of Transilvania

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8 - 12 March 2025
### Arizona Winter School 2025

University of Arizona

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