Convex integration is a mathematical theory developed by Mikhaïl Gromov in order to solve partial differential equations. This theory shows that a certain principle, named homotopic principle or h-principle, is satisfied by many equations.
The Hévéa Project aims at showing that Convex integration provides an effective tool to build explicit solutions of fundamental geometric equations. Based on this effective tool, the Hévéa team has achieved in 2012 the first visualization of an isometric embedding of a flat torus.
Partial view of an isometric embedding of the flat torus
Emanuel Candès receives the Jean Kuntzmann Price in 2014