The theory of automorphic forms has its roots in the early nineteenth century in the works of Gauss, Jacobi, Eisenstein and others. The subject experienced a vast expansion and reformulation following the work of Selberg, Harish-Chandra, and Langlands, in the 1970's, and remains a major focal point of development in number theory and algebraic geometry, with applications in many diverse areas, including combinatorics and mathematical physics. In the last decade there have been a number of advances in the theory of automorphic forms that have resolved long outstanding problems, for example, Ngo Bao Chau's proof of the fundamental lemma, Arthur's work on endoscopy and the classification of automorphic representations for classical groups, and the work of Taylor, Harris, Clozel and others that has provided a proof of the Sato-Tate conjecture. At the same time these advances - through both the results obtained and the innovative methods introduced - have opened up very important new directions for research. It is the main goal of this program to survey work on some of these new directions, their crossroads and their possible applications to problems in number theory and geometry.
The programm contains two workshops, the first one from January 3 - 20 and the second one from February 13 - 24.