Section: Partnerships and Cooperations

European Initiatives

Collaborations in European Programs

• Program: ERC Starting Grant

• Project acronym: GeCoMethods

• Project title: Geometric Control Methods for the Heat and Schroedinger Equations

• Duration: 1/5/2010 - 1/5/2015

• Coordinator: Ugo Boscain

• Abstract: The aim of this project is to study certain PDEs for which geometric control techniques open new horizons. More precisely we plan to exploit the relation between the sub-Riemannian distance and the properties of the kernel of the corresponding hypoelliptic heat equation and to study controllability properties of the Schroedinger equation.

  All subjects studied in this project are applications-driven: the problem of controllability of the Schroedinger equation has direct applications in Laser spectroscopy and in Nuclear Magnetic Resonance; the problem of nonisotropic diffusion has applications in cognitive neuroscience (in particular for models of human vision).

  Participants. Main collaborator: Mario Sigalotti. Other members of the team: Andrei Agrachev, Riccardo Adami, Thomas Chambrion, Grégoire Charlot, Yacine Chitour, Jean-Paul Gauthier, Frédéric Jean.

Major European Organizations with which you have followed Collaborations

• SISSA (Scuola Internazionale Superiore di Studi Avanzati), Trieste, Italy.

• Sector of Functional Analysis and Applications, Geometric Control group. Coordinator: Andrei A. Agrachev.

• We collaborate with the Geometric Control group at SISSA mainly on subjects related with sub-Riemannian geometry. Thanks partly to our collaboration, SISSA has established an official research partnership with École Polytechnique.