Analytic theory of GL(3) automorphic forms and applications

November 17 to November 21, 2008

at the

American Institute of Mathematics, Palo Alto, California

organized by

Henryk Iwaniec, Philippe Michel, and K. Soundararajan

This workshop, sponsored by AIM and the NSF, has the goal of providing a description of GL3 automorphic forms and their L-functions amenable to analytic number theorists and to explain the various approaches available to perform harmonic analysis on these spaces. A second objective will be to discuss the extension of some of the important tools existing in the GL2 theory to the GL3 context: a typical example is Kuznetzov's formula. A third objective will be to list some important problems known for GL2 and to identify the main obstructions to the extension of these to GL3: typical problems are non-vanishing problems for central values of L-functions and subconvexity problem. To achieve these goals we plan to bring together analytic number theorists and specialists from the theory of automorphic forms and related fields who are interested in analytic questions.

In addition to introductory lectures, the workshop will be centered around various "practical activities" conducted by different, possibly non-disjoint teams of people: the goal will be to study some specific problem of interest, possibly including

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 support to participate in this workshop has passed.

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