| 期刊全稱 | An Introduction to Automorphic Representations | | 期刊簡(jiǎn)稱 | With a view toward t | | 影響因子2023 | Jayce R. Getz,Heekyoung Hahn | | 視頻video | http://file.papertrans.cn/156/155142/155142.mp4 | | 發(fā)行地址 | Provides a detailed yet accessible introduction to the Langlands Program.Covers advanced topics that are rarely treated in textbooks, ex. the trace formula and Galois representations.Serves as a highl | | 學(xué)科分類 | Graduate Texts in Mathematics | | 圖書(shū)封面 |  | | 影響因子 | .The goal of this textbook is to introduce and study automorphic representations, objects at the very core of the Langlands Program. It is designed for use as a primary text for either a semester or a year-long course, for the independent study of advanced topics, or as a reference for researchers. The reader is taken from the beginnings of the subject to the forefront of contemporary research.? The journey provides an accessible gateway to one of the most fundamental areas of modern mathematics, with deep connections to arithmetic geometry, representation theory, harmonic analysis, and mathematical physics..The first part of the text is dedicated to developing the notion of automorphic representations. Next, it states a rough version of the Langlands functoriality conjecture, motivated by the description of unramified admissible representations of reductive groups over nonarchimedean local fields.?The next chapters develop the theory necessary to make the Langlands functoriality conjecture precise.? Thus supercuspidal representations are defined locally, cuspidal representations and Eisenstein series are defined globally, and Rankin-Selberg .L-.functions are defined to give a link | | Pindex | Textbook 2024 |
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