The purpose of the summer school is to provide training on some topics that are having great impact on current research in automorphic forms, allowing participants to make new connections with areas related to their current research programs and with other researchers. The summer school consists of three 2-day mini-courses, taught by teams of internationally renowned researchers, who are known to be excellent teachers; see the schedule and the topics below. We expect 40-55 students. Each day begins with 3 hours of lecture; in the afternoons the students work through exercises. All school participants are encouraged to stay and speak in the workshop that follows; all workshop participants who want to speak are scheduled to do so.

Courses:

• Analytic aspects of automorphic forms - Paul Garrett (University of Minnesota, USA), Kim Klinger-Logan (Kansas State University, USA)

• Theta lifts and arithmetic aspects of automorphic forms - Jan Bruinier (Technical University of Darmstadt, Germany), Claudia Alfes (Bielefeld University, Germany)

• Hypergeometric functions and their arithmetic avatars - Ling Long (Louisiana State University, USA), Wadim Zudilin (Radboud University, Netherlands)