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

Original Announcement

This workshop 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

Material from the workshop

A list of participants.

The workshop schedule.

A report on the workshop activities.

Papers arising from the workshop:
Levels of distribution and the Affine Sieve
Applications of the Kuznetsov formula on GL(3)
On the GL(3) Kuznetsov formula with applications to symmetry types of families of L-functions
The subconvexity problem for $\GL_{2}$