Automorphic forms and harmonic analysis on covering groups

June 10 to June 14, 2013

at the

American Institute of Mathematics, Palo Alto, California

organized by

Jeffrey Adams, Wee Teck Gan, and Gordan Savin

This workshop, sponsored by AIM and the NSF, will be devoted to discussing extensions of the the Langlands program to nonlinear groups in some generality. An important example of such group is the metaplectic group: the two-fold cover the symplectic group over a local field.

The focus of the workshop will be on foundational questions in the harmonic analysis and the theory of automorphic forms on such groups.

The main topics for the workshop are:

basic results in harmonic analysis and a theory of endoscopy for nonlinear groups;
formulation of a local Langlands correspondence for nonlinear groups;
a theory of types for nonlinear groups;
the trace formula and the structure of automorphic discrete spectrum.

While there have been many attempts to extend the Langlands philosophy to covering groups in the past, these were largely confined to specific families of examples.

In the past year, there have been a number of encouraging developments regarding a general treatment. These developments strongly suggest that a workshop devoted to the above foundational issues will be especially timely. This workshop will gather the experts working on different aspects of the problem, in order to take stock of and consolidate these early progresses and to formulate the key questions to be addressed in the immediate future.

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.

For more information email workshops@aimath.org

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