Conformal symplectic structures, contact topology, and foliations

Conformal symplectic structures, contact topology, and foliations

This workshop, sponsored by AIM and the NSF, will be devoted to exploration of the recently discovered connections between conformal symplectic structures, contact topology and the theory of codimension one foliations. The workshop will review the recent progress related to the topic and stimulate further research on the various new questions by bringing together experts in foliation theory, contact and symplectic topology. The recent existence results for conformal structures and exact leafwise conformal symplectic structures, as well as on deformation of leafwise conformal foliations into contact structures raise many interesting questions.

Here are sample topics which will be discussed:

• What is the correct notion of overtwistedness for conformal symplectic structures, and is there a full parametric h-principle for these structures?
• Making the first steps of the theory of tight conformal symplectic structures
• Explore rigidity phenomena in conformal symplectic topology
• Explore dynamics of Liouville vector fields, both in symplectic and conformal symplectic settings

This event will be run as an AIM-style workshop. Participants will be invited to suggest open problems and questions before the workshop begins, and these will be posted on the workshop website. These include specific problems on which there is hope of making some progress during the workshop, as well as more ambitious problems which may influence the future activity of the field. Lectures at the workshop will be focused on familiarizing the participants with the background material leading up to specific problems, and the schedule will include discussion and parallel working sessions.

The deadline to apply for support to participate in this workshop has passed.

For more information email workshops@aimath.org

Plain text announcement or brief announcement.