Harmonic Analysis, the Trace Formula, and Shimura Varieties - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Harmonic Analysis, the Trace Formula, and Shimura Varieties write by Clay Mathematics Institute. Summer School. This book was released on 2005. Harmonic Analysis, the Trace Formula, and Shimura Varieties available in PDF, EPUB and Kindle. Langlands program proposes fundamental relations that tie arithmetic information from number theory and algebraic geometry with analytic information from harmonic analysis and group representations. This title intends to provide an entry point into this exciting and challenging field.
Geometric Aspects of the Trace Formula
Geometric Aspects of the Trace Formula - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Geometric Aspects of the Trace Formula write by Werner Müller. This book was released on 2018-10-11. Geometric Aspects of the Trace Formula available in PDF, EPUB and Kindle. The second of three volumes devoted to the study of the trace formula, these proceedings focus on automorphic representations of higher rank groups. Based on research presented at the 2016 Simons Symposium on Geometric Aspects of the Trace Formula that took place in Schloss Elmau, Germany, the volume contains both original research articles and articles that synthesize current knowledge and future directions in the field. The articles discuss topics such as the classification problem of representations of reductive groups, the structure of Langlands and Arthur packets, interactions with geometric representation theory, and conjectures on the global automorphic spectrum. Suitable for both graduate students and researchers, this volume presents the latest research in the field. Readers of the first volume Families of Automorphic Forms and the Trace Formula will find this a natural continuation of the study of the trace formula.
Families of Automorphic Forms and the Trace Formula
Families of Automorphic Forms and the Trace Formula - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Families of Automorphic Forms and the Trace Formula write by Werner Müller. This book was released on 2016-09-20. Families of Automorphic Forms and the Trace Formula available in PDF, EPUB and Kindle. 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.
Shimura Varieties
Shimura Varieties - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Shimura Varieties write by Thomas Haines. This book was released on 2020-02-20. Shimura Varieties available in PDF, EPUB and Kindle. This is the second volume of a series of mainly expository articles on the arithmetic theory of automorphic forms. It forms a sequel to On the Stabilization of the Trace Formula published in 2011. The books are intended primarily for two groups of readers: those interested in the structure of automorphic forms on reductive groups over number fields, and specifically in qualitative information on multiplicities of automorphic representations; and those interested in the classification of I-adic representations of Galois groups of number fields. Langlands' conjectures elaborate on the notion that these two problems overlap considerably. These volumes present convincing evidence supporting this, clearly and succinctly enough that readers can pass with minimal effort between the two points of view. Over a decade's worth of progress toward the stabilization of the Arthur-Selberg trace formula, culminating in Ngo Bau Chau's proof of the Fundamental Lemma, makes this series timely.
