Families of Automorphic Forms and the Trace Formula
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Beschreibung
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.
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.
Develops analytic, p-adic and geometric perspectives on families of automorphic forms in relation to the trace formula Focuses on recent developments and conjectures at the frontier of current knowledge based on in-depth exchanges between symposium participants Provides researchers in the field and aspiring students with an appraisal of the feasibility of a range of approaches to open problems, as well as the subject's key difficulties Includes supplementary material: sn.pub/extras
Autor*in
Werner Müller
Themen in »Families of Automorphic Forms and the Trace Formula«
L-functions and symmetry automorphic forms trace formula families of automorphic representations of higher rank groups spectra of locally symmetric spaces p-adic families harmonic analysis and representation theory counting cohomological forms p-adic trace formulas Hecke fields slopes of modular forms orbital integrals