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標(biāo)題: Titlebook: An Introduction to Automorphic Representations; With a view toward t Jayce R. Getz,Heekyoung Hahn Textbook 2024 Springer Nature Switzerland [打印本頁]

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書目名稱An Introduction to Automorphic Representations影響因子(影響力)




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書目名稱An Introduction to Automorphic Representations讀者反饋




書目名稱An Introduction to Automorphic Representations讀者反饋學(xué)科排名





作者: nonplus    時間: 2025-3-21 23:04
Representations of Totally Disconnected Groups, state the general definition of an automorphic representation in the next chapter. At the end of the chapter, we prove Flath’s theorem. This fundamental result implies that automorphic representations of a global field can be factored, in a suitable sense, along the places of the field.
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978-3-031-42610-0Springer Nature Switzerland AG 2024
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作者: Atrium    時間: 2025-3-22 13:33
Representations of Totally Disconnected Groups, state the general definition of an automorphic representation in the next chapter. At the end of the chapter, we prove Flath’s theorem. This fundamental result implies that automorphic representations of a global field can be factored, in a suitable sense, along the places of the field.
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https://doi.org/10.1007/978-3-658-41648-5The arithmetic objects of interest in this book are constructed using global fields and their adele rings. We briefly summarize the construction of the adeles in this section; references include [CF86, Neu99, RV99].
作者: BROTH    時間: 2025-3-23 01:32
https://doi.org/10.1007/978-3-658-41648-5In this chapter, we introduce the main players in the representation theory of real Lie groups. In particular, we define admissible representations, .-modules and infinitesimal characters. The chapter ends with a brief discussion of the Langlands classification.
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https://doi.org/10.1007/978-3-658-41648-5In this chapter, we define automorphic forms and use them to give the general definition of an automorphic representation. We then explain the relationship between discrete automorphic representations and automorphic representations.
作者: BRUNT    時間: 2025-3-23 10:00
,Reformvorschl?ge und deren Umsetzbarkeit,In this chapter, we describe the classification of unramified representations of reductive groups over non-Archimedean local fields. Along the way, we discuss the Satake isomorphism and the Langlands dual group.
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Markus H. Dahm,Marielena WinterThe cuspidal spectrum of . decomposes discretely into a Hilbert space direct sum with finite multiplicities. We give a proof of this fact in this chapter. We also prove that cuspidal automorphic forms are rapidly decreasing in the number field case and are compactly supported in the function field case.
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https://doi.org/10.1007/978-3-658-17683-9In this chapter we discuss the notion of a distinguished representation in local and global contexts. The global notion is defined in terms of period integrals and hence isolates a crucial link between automorphic representation theory and the geometry of locally symmetric spaces.
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Einführung in die Gesamt-StudieWe discuss how automorphic representation theory controls the cohomology of arithmetic locally symmetric spaces.
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Archimedean Representation Theory,In this chapter, we introduce the main players in the representation theory of real Lie groups. In particular, we define admissible representations, .-modules and infinitesimal characters. The chapter ends with a brief discussion of the Langlands classification.
作者: 連詞    時間: 2025-3-26 04:42
Automorphic Forms,In this chapter, we define automorphic forms and use them to give the general definition of an automorphic representation. We then explain the relationship between discrete automorphic representations and automorphic representations.
作者: overrule    時間: 2025-3-26 08:35
Unramified Representations,In this chapter, we describe the classification of unramified representations of reductive groups over non-Archimedean local fields. Along the way, we discuss the Satake isomorphism and the Langlands dual group.
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Non-Archimedean Representation Theory,In this chapter, we explain how general admissible representations are built up out of supercuspidal representations via the process of parabolic induction.
作者: FLACK    時間: 2025-3-26 19:02
The Cuspidal Spectrum,The cuspidal spectrum of . decomposes discretely into a Hilbert space direct sum with finite multiplicities. We give a proof of this fact in this chapter. We also prove that cuspidal automorphic forms are rapidly decreasing in the number field case and are compactly supported in the function field case.
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Rankin-Selberg ,-functions,In this chapter we sketch the theory of generic representations and Rankin-Selberg .-functions.
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Known Cases of Global Langlands Functoriality,Over number fields the global Langlands functoriality conjecture is wide open. Despite this, several important cases have been established. We survey some of the hard earned progress in this chapter.
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作者: 手榴彈    時間: 2025-3-28 04:40
Orbital Integrals,We define and study orbital integrals. In the next chapter, we explain how the geometric sides of trace formulae are written in terms of orbital integrals.
作者: INCUR    時間: 2025-3-28 08:07
Simple Trace Formulae,In this chapter we prove a simple general relative trace formula and overview its various specializations. This recovers (simple versions of) many trace formulae that have appeared in the literature. In particular, one such specialization yields the Petersson-Bruggeman-Kuznetsov trace formula.
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Applications of Trace Formulae,In this chapter we discuss applications of relative trace formulae. Our goal is to provide an introduction to the key motifs of existence and comparison underlying these applications.
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An Introduction to Automorphic Representations978-3-031-41153-3Series ISSN 0072-5285 Series E-ISSN 2197-5612
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Jayce R. Getz,Heekyoung HahnProvides 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
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,Reformvorschl?ge und deren Umsetzbarkeit,adelic points of an affine algebraic group. In Chapter ., we will define general automorphic representations and explain how discrete automorphic representations give rise to automorphic representations.
作者: Asperity    時間: 2025-3-29 18:43
,Reformvorschl?ge und deren Umsetzbarkeit, state the general definition of an automorphic representation in the next chapter. At the end of the chapter, we prove Flath’s theorem. This fundamental result implies that automorphic representations of a global field can be factored, in a suitable sense, along the places of the field.
作者: 載貨清單    時間: 2025-3-29 21:58
Textbook 2024r 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 o
作者: 增長    時間: 2025-3-30 02:23
0072-5285 e trace formula and Galois representations.Serves as a highl.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 s
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Henry Kellermana large number of different atoms in their unit cells. HTS-materials, numerous ferroelectrics, ferroelastics, polymers, biopolymers, intercalated compounds as well as a series of other materials interesting for both their purely scientific and technical aspects are examples of compounds of this type
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Evelyn Tsz Yan Chantbeobachtung des Patienten mit m?glichst standardisierter Dokumentation des klinischen, radiologischen, und funktionellen Zustandes (z. B. Disease Activity Score, Funktionsfragebogen Hannover, R?ntgenscore, Short Form 36) und Anpassung der Behandlung auf der Grundlage der gemessenen Daten. Um diese
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Chronotherapy of Blood Pressure Medications to Improve Management of Hypertension and Reduce VasculBP monitoring (ABPM) than daytime in-clinic measurements. Additionally, consistent evidence from numerous studies substantiates that ABPM-determined asleep BP mean is an independent and stronger predictor of CVD risk than the awake or 24?h means. Hence, cost-effective adequate control of sleep-time
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Stability Investigation of Long-Span Bridges Using Indical Functions with Oscillatory Terms,reamlined, which is the case with most bridge decks, then flow separation occurs, and organized vortices are shed. Sometimes the organized vortices are accompanied by smaller scale vortices. These vortices generate random pressure fluctuations in the wake, causing the structure, to move. In turn, th
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Conference proceedings 2011Development, ISAEBD 2011, held in Dalian, China, in August 2011. The papers address issues related to Applied Economics, Business and Development and cover various research areas including Economics, Management, Education and its Applications.
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A New Finding in Myopia Research (III): The Reduction of Choroidal Blood Flow May Be Involved in the Occurrence and Development of Myopia the retina to the sclera, and is rich in blood flow, supplying oxygen and nutrients primarily to the outer retina. It is therefore likely that changes in choroidal blood flow have some influence on the reception and conversion of retinal light signals, which in turn play an important role in the regulation of ocular growth.
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Carlos H. Rojas-Fernandez BSc(Pharm), PharmDn of the heuristic and gNovelty. was compared with the original solvers and other state-of-the-art local search solvers. The experimental results showed that the new solver outperformed other solvers on the full set of SAT 2011 competition instances and three sets of real-world verification problems.
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An improved pattern matching algorithm for strings in terms of straight-line programs,re symbols and the only operation is the concatenation. In this paper, both text . and pattern . are given by straight-line programs . and .. The length of the text . (pattern ., resp.) may grow exponentially with respect to its description size ‖.‖=. (‖.‖=., resp.). We show a new combinatorial prop




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