at the

Chern Institute of Mathematics,

Nankai University, Tianjin China

organized by

Victor Bangert and Yiming Long

This joint workshop of the American Institute of Mathematics (AIM) and the Chern Institute of Mathematics (CIM), sponsored by AIM, CIM , and the NSF, will be devoted to the study of the behavior of geodesics in the large. Although this is an old subject, with important contributions first made by J. Hadamard and H. Poincare, many of the fundamental problems are still open.

The study of geodesics is a central part of Riemannian geometry, of the calculus of variations and of Hamiltonian dynamics. Beyond that it is related to a remarkably large number of mathematical and non-mathematical fields ranging from the study of PDEs to number theory and from transport problems to general relativity. So it is no surprise that often progress in geodesic problems is achieved by combining ideas and methods from different areas.

The workshop will stimulate exchange and cooperation between researchers from diverse mathematical fields with interest in geodesics.

Here is a non-exhaustive list of topics to be discussed in the workshop.

- Closed geodesics and geodesic networks.
- Morse theory on loop spaces.
- Statistical properties of geodesic flows, dynamical zeta-function.
- Rigidity and geodesics.
- Symplectic geometry and J-holomorphic curves applied to geodesics.

The workshop will differ from typical conferences in some regards. 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 funding to participate in this workshop has passed.

For more information email *workshops@aimath.org*

Go to the
American Institute of Mathematics.

Go to the Chern Institute of Mathematics.