Featuring the work of twenty-three internationally-recognized experts this volume explores the
trace formula spectra of locally symmetric spaces p-adic families and other recent
techniques from harmonic analysis and representation theory. Each peer-reviewed submission in
this volume based on the Simons Foundation symposium on families of automorphic forms and the
trace formula held in Puerto Rico in January-February 2014 is the product of intensive
research collaboration by the participants over the course of the seven-day workshop. The goal
of each session in the symposium was to bring together researchers with diverse specialties in
order to identify key difficulties as well as fruitful approaches being explored in the field.
The respective themes were counting cohomological forms p-adic trace formulas Hecke fields
slopes of modular forms and orbital integrals.
