This book is the first of two volumes, which represent leading themes of current research in automorphic forms and representation theory of reductive groups over local fields. Articles in this volume mainly represent global aspects of automorphic forms. Among the topics are the trace formula; functoriality; representations of reductive groups over local fields; the relative trace formula and periods of automorphic forms; Rankin-Selberg convolutions and \(L\)-functions; and \(p\)-adic \(L\)-functions. The articles are written by leading researchers in the field, and bring the reader, advanced graduate students and researchers alike, to the frontline of the vigorous research in these deep, vital topics. The companion volume (Contemporary Mathematics, Volume 489) is devoted to local aspects of automorphic forms.

The volume is based on talks presented at a Workshop in Honor of Steve Gelbart on the Occasion of his Sixtieth Birthday, held May 15-19, 2006, in Rehovot and Tel Aviv, Israel.

This book is co-published with Bar-Ilan University (Ramat-Gan, Israel).

Readership

Graduate students and research mathematicians interested in representation theory and automorphic forms.