# 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.

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.

This is the equation which governs the flow of fluids such as water and air. However, there is no proof for the most basic questions one can ask: do solutions exist, and are they unique? Why ask for a proof? Because a proof gives not only certitude, but also understanding.

22 - 26 July 2024
### AGGITaTE 2024

University of Essex

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30 September - 18 October 2024
### Random Tensors and Related Topics

Institut Henri Poincaré

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10 - 12 May 2024
### From Microlocal to Global Analysis @ MIT

Massachusetts Institute of Technology

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9 - 13 September 2024
### UK Workshop on Spectral Theory

ICMS Edinburgh

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