Calculus of Variations

The Calculus of Variations is at the same time a classical subject, with long-standing open questions which have generated exciting discoveries in recent decades, and a modern subject in which new types of questions arise, driven by mathematical developments and emergent applications. It is also a subject with a very wide scope, touching on interrelated areas that include geometric variational problems, optimal transportation, geometric inequalities and domain optimization problems, elliptic regularity, geometric measure theory, harmonic analysis, physics, free boundary problems, etc. The workshop will balance the traditional interests of past conferences with new emerging perspectives. The topics described in this proposal are linked to each other via the methods of Calculus of Variations that are employed, and it is our belief that a meeting with such a large group of experts will lead to substantial advances in these areas, as well as building bridges between them.