L-packets (11w5100)

Arriving in Banff, Alberta Sunday, June 26 and departing Friday July 1, 2011


Clifton Cunningham (University of Calgary)

Colette Moeglin (Institut de Mathematiques de Jussieu)

Vinayak Vatsal (Mathematics Department, University of British Columbia)


The objectives of this workshop are: to review the current status of Arthur's conjectures as they pertain to the structure, stability and parametrization of L-packets both global and local, Archimedean and non-Archimedean; to carefully examine examples to gather evidence to support (or refute) the conjectures; to think about arithmetic implications; and to develop strategies that might lead to progress on the conjectures.

This workshop, which is timed to follow on the heels of the release of Jim Arthur's book on automorphic representations, will build on work facilitated by the 2008 BIRS workshops on the stable trace formula, automorphic forms, and Galois representations.

By gathering together the experts in this field (please refer to the list of participants who have confirmed their interest), the workshop will represent the state of the art of the subject, both from the representation theoretic and arithmetic perspectives. The workshop will also galvanize mathematicians in the proposed PIMS Collaborative Research Group on L-functions and Number Theory working in this field. Finally, the workshop will include a number of graduate students and new PhDs as an investment in our research capacity in this field.