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標(biāo)題: Titlebook: An Introduction to the Langlands Program; D. Bump,J. W. Cogdell,S. S. Kudla,Joseph Bernstein Textbook 2004 Birkh?user Boston 2004 Grad.alg [打印本頁]

作者: 浮華    時(shí)間: 2025-3-21 18:45
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作者: 有特色    時(shí)間: 2025-3-21 23:58
Die digitale Transformation der MedienAnd, of course, this development is still under way, as is evident from the later chapters [6]. In hindsight, Tate’s work may be viewed as giving the theory of automorphic representations and .-functions of the simplest connected reductive group . = GL(1), and so it remains a fundamental reference a
作者: Compatriot    時(shí)間: 2025-3-22 04:23
,Tate’s Thesis,And, of course, this development is still under way, as is evident from the later chapters [6]. In hindsight, Tate’s work may be viewed as giving the theory of automorphic representations and .-functions of the simplest connected reductive group . = GL(1), and so it remains a fundamental reference a
作者: Reservation    時(shí)間: 2025-3-22 07:02
Elementary Theory of ,-Functions I,of holomorphic functions with strange links to many aspects of number theory. Later chapters will explain how at least some of the mysterious aspects are understood today. But it should be emphasized that there are still many points that are not fully explained, even in a very sketchy, philosophical
作者: 咒語    時(shí)間: 2025-3-22 12:15

作者: Affiliation    時(shí)間: 2025-3-22 16:16
,Tate’s Thesis, Company, Washington, DC, 1967). In it, Tate provides an elegant and unified treatment of the analytic continuation and functional equation of the L-functions attached by Hecke to his Gr??encharaktere in his pair of papers [7]. The power of the methods of abelian harmonic analysis in the setting of
作者: Modicum    時(shí)間: 2025-3-22 17:47

作者: ILEUM    時(shí)間: 2025-3-23 00:59

作者: 制定    時(shí)間: 2025-3-23 05:07

作者: remission    時(shí)間: 2025-3-23 06:31
Dual Groups and Langlands Functoriality,dence between certain Galois representations and admissible or automorphic representations for any connected reductive algebraic group .. For GL. there was a correspondence between certain n-dimensional Galois representations, that is, representations into GL. (?), and admissible representations of
作者: Spirometry    時(shí)間: 2025-3-23 13:26

作者: 不給啤    時(shí)間: 2025-3-23 16:19
osition is systematic, with each chapter focusing on a parti.For the past several decades the theory of automorphic forms has become a major focal point of development in number theory and algebraic geometry, with applications in many diverse areas, including combinatorics and mathematical physics.
作者: 克制    時(shí)間: 2025-3-23 20:10

作者: PHAG    時(shí)間: 2025-3-24 00:38
Wieland Appelfeller,Carsten Feldmanne was a correspondence between certain n-dimensional Galois representations, that is, representations into GL. (?), and admissible representations of GL. (.) or automorphic representations of GL.(A) [4]. For general G we understand what to replace the automorphic side with: admissible representations of . or automorphic rep-resentations of .(A).
作者: 預(yù)知    時(shí)間: 2025-3-24 03:39
Artin , Functions, induces on the residue field of any prime of . above . the automorphism . ? ...) The . (Kronecker 1853, Weber 1886) asserts that every 1-dimensional character of .. = Gal(??/?) is of the form .. for an appropriate ..
作者: BRACE    時(shí)間: 2025-3-24 07:08

作者: 接合    時(shí)間: 2025-3-24 11:52
Langlands Conjectures for GL,,h this invariant. For one dimensional . this idea was fundamental for the analytic approach to abelian class field theory and the understanding of ... To obtain a more complete understanding of .. we would hope for a more complete understanding of the . for higher dimensional representations.
作者: Rustproof    時(shí)間: 2025-3-24 18:09
Textbook 2004ields of mathematics. ..Covered are a variety of areas in number theory from the classical zeta function up to the Langlands program. The exposition is sytematic, with each chapter focusing on a particular topic devoted to special cases of the program, and accessible to graduate students and researchers in the field. .
作者: Aviary    時(shí)間: 2025-3-24 20:11
Textbook 2004ith applications in many diverse areas, including combinatorics and mathematical physics. The?twelve chapters of this monograph present a broad, user-friendly introduction to the Langlands program, that is, the theory of automorphic forms and its connection with the theory of L-functions and other f
作者: tackle    時(shí)間: 2025-3-25 02:15
D. Bump,J. W. Cogdell,S. S. Kudla,Joseph BernsteinSelf-contained presentation.A variety of areas in number theory from the classical zeta function up to the Langlands program are covered.Exposition is systematic, with each chapter focusing on a parti
作者: 食料    時(shí)間: 2025-3-25 06:53
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作者: TAIN    時(shí)間: 2025-3-25 10:11

作者: GLIB    時(shí)間: 2025-3-25 13:33

作者: 運(yùn)氣    時(shí)間: 2025-3-25 18:08
Die digitale Transformation der MedienIn the previous chapter we examined representations of Galois groups of global fields into .(., ?), and their .-functions. Such representations are necessarily of finite image. We saw at the end that an important example is supplied by modular forms of weight 1.
作者: Connotation    時(shí)間: 2025-3-25 23:24
https://doi.org/10.1007/978-3-658-36276-8This chapter sketches the passage from classical holomorphic modular forms f weight . and level . to automorphic representations of . = .(.) of GL.(A).
作者: 不能平靜    時(shí)間: 2025-3-26 01:37

作者: deriver    時(shí)間: 2025-3-26 06:38
Elementary Theory of ,-Functions II,This chapter is partly a development, with some sketches of proofs, of the main points of the first chapter, and partly a survey of the important topic of the zeros of .-functions.
作者: 艱苦地移動    時(shí)間: 2025-3-26 12:26

作者: 哥哥噴涌而出    時(shí)間: 2025-3-26 16:20
,-Functions of Elliptic Curves and Modular Forms,In the previous chapter we examined representations of Galois groups of global fields into .(., ?), and their .-functions. Such representations are necessarily of finite image. We saw at the end that an important example is supplied by modular forms of weight 1.
作者: apiary    時(shí)間: 2025-3-26 18:55
From Modular Forms to Automorphic Representations,This chapter sketches the passage from classical holomorphic modular forms f weight . and level . to automorphic representations of . = .(.) of GL.(A).
作者: 抵制    時(shí)間: 2025-3-27 00:08
Informal Introduction to Geometric Langlands,Since we could not afford to give all the definitions necessary to introduce the subject, we will assume a certain level of familiarity with basic notions of algebraic geometry, number theory and representation theory. To compensate for the missing definitions, at the end we include some bibliographical suggestions.
作者: 消息靈通    時(shí)間: 2025-3-27 03:45

作者: 有助于    時(shí)間: 2025-3-27 07:25

作者: 尖    時(shí)間: 2025-3-27 13:15

作者: 脊椎動物    時(shí)間: 2025-3-27 16:26

作者: ALOFT    時(shí)間: 2025-3-27 17:45

作者: 安心地散步    時(shí)間: 2025-3-27 22:12

作者: patriarch    時(shí)間: 2025-3-28 02:15

作者: 無可非議    時(shí)間: 2025-3-28 06:47
Hamidreza Hosseini,Holger Schmidtof holomorphic functions with strange links to many aspects of number theory. Later chapters will explain how at least some of the mysterious aspects are understood today. But it should be emphasized that there are still many points that are not fully explained, even in a very sketchy, philosophical way.
作者: 宣傳    時(shí)間: 2025-3-28 13:02

作者: kindred    時(shí)間: 2025-3-28 18:22
Wieland Appelfeller,Carsten Feldmannre are two approaches to .-functions of ..: via integral representations or through analysis of Fourier coefficients of Eisenstein series. In this chapter we will discuss the theory via integral representations.
作者: CHYME    時(shí)間: 2025-3-28 21:42

作者: Acclaim    時(shí)間: 2025-3-29 01:28
978-0-8176-3211-3Birkh?user Boston 2004
作者: bile648    時(shí)間: 2025-3-29 03:15

作者: 松雞    時(shí)間: 2025-3-29 09:52





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