Emerging applications of measure rigidity

June 13 to June 18, 2004

at the

American Institute of Mathematics, Palo Alto, California

organized by

Anatole Katok, Elon Lindenstrauss, and Ralf Spatzier

This workshop, sponsored by AIM and the NSF, will be devoted to exploring the interplay between flows on locally homogeneous spaces and a wide range of problems in number theory, theoretical physics, and representation theory. Specific topics include: classification of measures invariant under natural flows on locally homogeneous spaces, particularly Cartan-type actions, unipotent flows, and their applications to Diophantine approximations, L-functions, Heegner points, Quantum Chaos, and many other major areas of vigorous mathematical research.

This workshop will bring together researchers in dynamical systems, number theory and other disciplines. We especially hope to stimulate the discovery of new connections between these already richly connected subjects.

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 there will be ample time between talks for discussions and for work to be done.

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

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