ERC Starting Grant · 2022
Fourier Interpolation and Extremal Problems
In 2006 Cohn and Kumar have conjectured that the A2 lattice is universally optimal, meaning that it has the lowest potential energy among all configurations of the same density for all completely monotone potentials. This conjecture has several very important corollaries. Among other consequences, it is known that it implies a positive solution to the 2D crystallization problem, a major unsolved problem coming from materials science, and it also implies a conjecture on the emergence of the triangular lattice of Abrikosov vortices in the Landau-Ginzburg theory of superconductivity. Recently, the 8 and 24-dimensional cases of the Cohn-Kumar conjecture have been positively resolved using novel…
From the public funding record at EU CORDIS. Describes the funded project, not the reviews below.
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