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Automorphic forms
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61	Representation Theory and Arithmetic * Although some of the books of Hermann Weyl, especially those dealing with algebraic matters, are notoriously difficult, the papers on geometry and analysis were often models of eas Add to Reading List Source URL: www.sunsite.ubc.ca Language: English - Date: 2001-05-12 20:21:26 Automorphic forms Algebraic geometry Analytic number theory Langlands program Homological algebra Shimura variety Automorphic L-function Orthogonal group Elliptic curve Abstract algebra Mathematics Mathematical analysis
62	SUPPLEMENT The first draft of the review was sent to a number of friends and colleagues, not all of whom had the time to respond, but some did and I am very grateful to those friends, especially James Arthur, Dipendra Pr Add to Reading List Source URL: www.sunsite.ubc.ca Language: English - Date: 2006-09-20 12:36:16 Number theory Automorphic forms Homological algebra Galois theory Algebraic number theory Langlands program Galois module Étale cohomology P-adic number Abstract algebra Mathematics Algebra
63	Problems in the Theory of Automorprhic Forms† To Salomon Bochner In Gratitude 1. There has recently been much interest, if not a tremendous amount of progress, in the arithmetic theory of automorphic forms. In this lec Add to Reading List Source URL: www.sunsite.ubc.ca Language: English - Date: 2004-07-08 09:21:37 Representation theory Weight Group theory Abstract algebra Representation theory of Lie groups Lie algebras
64	PDF Document Add to Reading List Source URL: www.sunsite.ubc.ca Language: English - Date: 2001-05-12 20:19:20 Modular forms Automorphic forms Analytic number theory Number theory Fractals Eisenstein series Cusp form Representation theory Hecke operator Mathematical analysis Abstract algebra Mathematics
65	Review of Haruzo Hida’s p-adic automorphic forms on Shimura varieties by Robert P. Langlands Add to Reading List Source URL: www.sunsite.ubc.ca Language: English - Date: 2006-09-21 19:53:51 Automorphic forms Class field theory Representation theory of Lie groups Algebraic number theory Number theory Langlands program Robert Langlands Shimura variety Galois module Abstract algebra Mathematics Algebra
66	Introductory comments by the author∗ This paper, certainly unorthodox, was submitted to the Canadian Journal of Mathematics at the invitation of Paulo Ribenboim, an associate editor at the time, but accepted only on co Add to Reading List Source URL: www.sunsite.ubc.ca Language: English - Date: 2001-05-12 20:23:28 Automorphic forms Algebraic geometry Modular forms Class field theory Number theory Shimura variety Robert Langlands Langlands program Artin L-function Abstract algebra Mathematics Mathematical analysis
67	On the Zeta-Functions of Some Simple Shimura Varieties∗ by Robert Langlands 1. Introduction. Add to Reading List Source URL: www.sunsite.ubc.ca Language: English - Date: 2001-05-12 20:23:24 Automorphic forms Algebraic geometry Automorphic L-function Langlands program Shimura variety Valuation Operator theory Symbol Spectral theory of ordinary differential equations Abstract algebra Mathematics Algebra
68	Automorphic Representations, Shimura Varieties, and Motives. Ein M¨ archen* R.P. Langlands 1. Introduction. It had been my intention to survey the problems posed by the study of zetafunctions of Shimura varieties. But I Add to Reading List Source URL: www.sunsite.ubc.ca Language: English - Date: 2001-05-12 20:17:52 Conjectures Langlands program Representation theory of Lie groups Harmonic analysis Cuspidal representation Ramanujan–Petersson conjecture Representation theory Shimura variety Induced representation Abstract algebra Algebra Automorphic forms
69	The Trace Formula and its Applications An introduction to the work of James Arthur∗ I balanced all, brought all to mind, An Irish airman foresees his death W. B. Yeats Add to Reading List Source URL: www.sunsite.ubc.ca Language: English - Date: 2001-05-12 20:16:46 Field theory Representation theory of Lie groups Representation theory Automorphic forms Valuation Weight Algebraic number field Connection Symbol Abstract algebra Algebra Mathematics
70	Review of The theory of Eisenstein systems by M. Scott Osborne and Garth Warner The Laplace-Beltrami operator on the upper half-plane with respect to the hyperbolic metric is ∂2 ∂x2 Add to Reading List Source URL: www.sunsite.ubc.ca Language: English - Date: 2001-05-25 18:03:28 Modular forms Selberg trace formula Fuchsian group Automorphic form Cusp form Congruence subgroup Hecke operator Induced representation Möbius transformation Abstract algebra Mathematical analysis Mathematics

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