2025 Clay Research Conference and Workshops
The 2025 Clay Research Conference will held on Wednesday and Thursday, 1-2 October. Associated workshops will be held Monday, Tuesday, and Friday during the week of the conference.
The 2025 Clay Research Conference will held on Wednesday and Thursday, 1-2 October. Associated workshops will be held Monday, Tuesday, and Friday during the week of the conference.
CMI invites proposals under the Enhancement and Partnership Program for fiscal year 2026 (1 October 2025-30 September 2026) and later. The principal aim of the program is to enhance activities that are already planned and financially viable.
The 2025 CMI HIMR Summer School on Formalizing Class Field Theory will take place in Oxford 21-25 July 2025.
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.
ICMS Edinburgh
ICMS Edinburgh
Hungarian Academy of Sciences
Institut Henri Poincaré