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 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.
Navier-Stokes Equation
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.
Aggregation-Diffusion Equations and Collective Behavior: Analysis, Numerics and Applications
CIRM, Luminy
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Renormalization and Visualisation in Geometry, Dynamics and Number Theory
CIRM, Luminy
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Toric Topology, Geometry and Polyhedral Products
Fields Institute
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British Mathematical Colloquium
University of Manchester
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