Shape Optimization, Isoperimetrics and Functional Inequalities

This workshop will bring together specialists working on topics involving geometric inequalities, isoperimetric and functional inequalities, partial differential equations on variable domains, with particular attention to the dependence of the solutions of the state equations (generally partial differential equations) on the geometry of their domain of definition and will include specialists on the following topics :

- shape optimization problems
- isoperimetric and functional inequalities
- free boundary problems ;
- spectral optimization problems ;
- convex geometric tools and geometric inequalities ; - free boundary regularity of optimal shapes
- numerical aspects of singular shapes ;
- geometric flows and PDE’s.