Seminars & Colloquia Calendar
Langlands functoriality, the converse theorem, and the integral representations of L-functions
Solomon Friedberg (Boston College)
Location: Zoom Link: https://rutgers.zoom.us/j/95245984714?pwd=cXJXTldjUGpxdUk5WW9GMVhaREZ6UT09
Date & time: Tuesday, 17 November 2020 at 2:00PM - 3:00PM
Abstract: Langlands functoriality predicts maps between automorphic representations on different groups, dictated by a map of L-groups. One important class of such maps are endoscopic liftings, established by Arthur using the trace formula. In this talk I describe an approach to endoscopic lifting that does not use the trace formula. Instead it follows the approach of Cogdell, Kim, Piatetski-Shapiro and Shahidi, who handled (before Arthur) the case of endoscopic liftings of generic automorphic representations by studying L-functions and using the converse theorem. Using new integral representations of L-functions of Cai, Friedberg, Ginzburg and Kaplan, I and my collaborators are able to handle all cuspidal automorphic representations, and even to give some liftings outside the work of Arthur.