Colloquium abstracts

William A. Casselman
University of British Columbia, Canada
February 5, 2015

L functions and the future of the trace formula:  Around the year 2000 Langlands proposed a scheme he called "Beyond endoscopy" that he hoped would lead to new classes of functoriality and an understanding of associated L functions. One aspect of this involved applying the trace formula to certain functions that are not of compact support on local groups.  These functions are now much better understood than they were at that time, partly due to conjectures of Ngo that have recently been proved by him and Yiannis Sakellaridis.  This is already a huge topic, although very few are working on it. I'll try to give some idea of what's going on.