# 2023 Clay Research Conference and Workshops

The 2023 Clay Research Conference was held on Wednesday, 27 September. Videos of the plenary talks will be available online in the coming weeks.

The 2023 Clay Research Conference was held on Wednesday, 27 September. Videos of the plenary talks will be available online in the coming weeks.

CMI invites proposals under the Enhancement and Partnership Program for fiscal year 2024 (1 October 2023-September 2024) 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 2024 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.

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.

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.

8 - 12 April 2024
### Aggregation-Diffusion Equations and Collective Behavior: Analysis, Numerics and Applications

CIRM, Luminy

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4 - 8 December 2023
### Renormalization and Visualisation in Geometry, Dynamics and Number Theory

CIRM, Luminy

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22 July - 23 August 2024
### Toric Topology, Geometry and Polyhedral Products

Fields Institute

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17 - 20 June 2024
### British Mathematical Colloquium

University of Manchester

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