Endoscopic Classification of Representations of Quasi-Split Unitary Groups - 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 Endoscopic Classification of Representations of Quasi-Split Unitary Groups write by Chung Pang Mok. This book was released on 2015-04-09. Endoscopic Classification of Representations of Quasi-Split Unitary Groups available in PDF, EPUB and Kindle. In this paper the author establishes the endoscopic classification of tempered representations of quasi-split unitary groups over local fields, and the endoscopic classification of the discrete automorphic spectrum of quasi-split unitary groups over global number fields. The method is analogous to the work of Arthur on orthogonal and symplectic groups, based on the theory of endoscopy and the comparison of trace formulas on unitary groups and general linear groups.
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.
Equivalent Definitions of Arthur Packets for Real Classical Groups
Equivalent Definitions of Arthur Packets for Real Classical Groups - 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 Equivalent Definitions of Arthur Packets for Real Classical Groups write by J. Adams. This book was released on 2024-09-09. Equivalent Definitions of Arthur Packets for Real Classical Groups available in PDF, EPUB and Kindle. View the abstract.
Representations of Reductive p-adic Groups
Representations of Reductive p-adic Groups - 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 Representations of Reductive p-adic Groups write by Anne-Marie Aubert. This book was released on 2019-04-16. Representations of Reductive p-adic Groups available in PDF, EPUB and Kindle. This book consists of survey articles and original research papers in the representation theory of reductive p-adic groups. In particular, it includes a survey by Anne-Marie Aubert on the enormously influential local Langlands conjectures. The survey gives a precise and accessible formulation of many aspects of the conjectures, highlighting recent refinements, due to the author and her collaborators, and their current status. It also features an extensive account by Colin Bushnell of his work with Henniart on the fine structure of the local Langlands correspondence for general linear groups, beginning with a clear overview of Bushnell–Kutzko’s construction of cuspidal types for such groups. The remaining papers touch on a range of topics in this active area of modern mathematics: group actions on root data, explicit character formulas, classification of discrete series representations, unicity of types, local converse theorems, completions of Hecke algebras, p-adic symmetric spaces. All meet a high level of exposition. The book should be a valuable resource to graduate students and experienced researchers alike.
On The Langlands Program: Endoscopy And Beyond
On The Langlands Program: Endoscopy And Beyond - 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 On The Langlands Program: Endoscopy And Beyond write by Wee Teck Gan. This book was released on 2024-04-15. On The Langlands Program: Endoscopy And Beyond available in PDF, EPUB and Kindle. This is a collection of lecture notes from the minicourses in the December 2018 Langlands Workshop: Endoscopy and Beyond. The volume combines seven introductory chapters on trace formulas, local Arthur packets, and beyond endoscopy. It aims to introduce the endoscopy classification via a basic example of the trace formula for SL(2), explore the more refined questions on the structure of Arthur packets, and look beyond endoscopy following the suggestions of Langlands, Braverman-Kazhdan, Ngo, and Altuğ. The book is a helpful reference for undergraduates, postgraduates, and researchers.
