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Shimura variety
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11	Explicit Algorithms for Humbert Surfaces David Gruenewald A thesis submitted in partial fulfilment of the requirements for the degree of Doctor of Philosophy in Pure Mathematics at the University of Sydney, December 2008 Add to Reading List Source URL: echidna.maths.usyd.edu.au Language: English - Date: 2010-05-16 11:30:55 Abelian varieties Algebraic surfaces Analytic number theory Algebraic curves Bernhard Riemann Humbert surface Modular form Elliptic curve Complex multiplication Shimura variety AppellHumbert theorem Abelian surface
12	INTRODUCTION TO SHIMURA CURVES, II Pilar Bayer Universitat de Barcelona • Mathematisches Institut, Georg-August-Universit¨ at, G¨ Add to Reading List Source URL: www.uni-math.gwdg.de Language: English - Date: 2004-07-02 05:26:41 Differential geometry Curves Differential geometry of curves Modular curve Shimura variety Geometry Abstract algebra Mathematical analysis
13	On affine Deligne-Lusztig varieties for GLn Dissertation zur Erlangung des Doktorgrades (Dr. rer. nat.) der Add to Reading List Source URL: hss.ulb.uni-bonn.de Language: English - Date: 2009-10-09 04:15:12 Algebraic geometry Moduli theory Deligne–Lusztig theory Representation theory Algebraic groups Moduli space Pierre Deligne Algebraic variety Shimura variety Abstract algebra Algebra Mathematics
14	M¨ unster J. of Math), 273–326 urn:nbn:de:hbz:M¨ unster Journal of Mathematics Add to Reading List Source URL: repositorium.uni-muenster.de Language: English Homological algebra Group theory Homotopy theory Automorphic forms Shimura variety Covering space Conjugacy class Fundamental group Group action Abstract algebra Algebra Algebraic topology
15	Shimura varieties and the Selberg trace formula * R.P. Langlands This paper is a report on work in progress rather than a description of theorems which have attained their final form. The results I shall describe are par Add to Reading List Source URL: www.sunsite.ubc.ca Language: English - Date: 2001-05-12 20:22:48 Mathematics Analytic number theory Algebraic geometry Shimura variety Selberg trace formula Explicit formula Representation theory Modular form Arthur–Selberg trace formula Mathematical analysis Abstract algebra Automorphic forms
16	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
17	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
18	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
19	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
20	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

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