2024 Clay Research Conference and Workshops
The 2024 Clay Research Conference was held on Wednesday, 2 October. Videos of the plenary talks can be viewed in our Video Library.
The Clay Mathematics Institute is a global organisation dedicated to furthering the beauty, power and universality of mathematical thought.
Yang-Mills & The Mass Gap
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.
Poincaré Conjecture
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.
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.
RGAS Summer School on Perfectoid Techniques
La Cristalera, UAM
Read more
A CMI event
Formalizing Class Field Theory
Mathematical Institute, University of Oxford
Read more
Geometric Problems in Linear and Nonlinear PDEs
Sabhal Mor Ostaig, the Isle of Skye
Read more
Representation Theory and Noncommutative Geometry
CIRM and IHP
Read more
