American Institute of Mathematics, Palo Alto, California
Andew Booker, Sally Koutsoliotas, Stefan Lemurell, and Andreas Strombergsson
Recently, three new methods for studying eigenvalues of the Laplacian for Hecke congruence groups have been introduced. These methods involve the trace formula, the L-function associated to a Maass form, and creative use of the Hecke operators. All three methods are specific to Hecke congruence groups, and one goal of the workshop is to explore whether there is some underlying similarity to the methods, or whether a hybrid approach can be developed that combines features of the existing methods.
In addition, the workshop will explore possible improvements to the existing methods through a detailed examination of their strengths and limitations. Finally, alternate approaches to computing Maass forms and generalizations to GL(3) and other higher-rank groups will be explored.
The workshop schedule.
A report on the workshop activities.