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关于自守型式的Langlands函子性(英文)

On the Langlands Functoriality for Automorphic Forms
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摘要 本文系该著者有关自守型式的Langlands函子性的演讲稿的细述及扩充文稿.特别强调了与该著者的近期工作相关的课题. This is the extended notes of my lectures on the Langlands functoriality of automorphic forms, which are in particular on the topics closely related to my recent work.
作者 江迪华
机构地区 美国明尼苏达大学数学系
出处 《数学进展》 CSCD 北大核心 2008年第2期129-152,共24页 Advances in Mathematics（China）
关键词 自守型式 Langlands函子性 自守表示 automorphic forms Langlands functoriality automorphic representations
分类号 O152.6 [理学—基础数学] O153.3 [理学—基础数学]
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  • 1Arthur, J., A note on the automorphic Langlands group, Canad. Math. Bull., 2002, 45(4): 466-482.
  • 2Arthur, J., The principle of functoriality, Bull. AMS., 2002, 40: 39-53.
  • 3Arthur, J., Automorphic representations of GSp(4), Contributions to automorphic forms, geometry, and number theory, 65-81, Johns Hopkins Univ. Press, 2004.
  • 4Arthur, J., An introduction to the trace formula, Harmonic Analysis, the Trace Formula, and Shimura Varieties, 1-263, Clay Math. Proc., 4, Amer. Math. Soc., Providence, RI, 2005.
  • 5Asgari, Mahdi; Shahidi, Freydoon, Generic transfer for general spin groups, Duke Math. J., 2006, 132(1): 137-190.
  • 6Asgari, Mahdi; Shahidi, Freydoon, Generic transfer from GSp(4) to GL(4), Compos. Math., 2006, 142(3): 541-550.
  • 7Bernstein, I.N., Zelevinsky, A.V., Induced representations of reductive p-adic groups I, Ann. Sci. Ecole Norm. Sup., 1977, 10(4): 441-472.
  • 8Borel, A., Automorphic L-functions, Proc. Sympos. Pure Math. 33, Automorphic forms, representations and L-functions Part 2, 27-61, Amer. Math. Soc., 1979.
  • 9Borel, A., Jacquet, H., Automorphic forms and automorphic representations, With a supplement "On the notion of an automorphic representation" by R. P. Langlands, Proc. Sympos. Pure Math., ⅩⅩⅩⅢ, Automorphic forms, representations and L-functions (Proc. Sympos. Pure Math., Oregon State Univ., Corvallis, Ore., 1977), Part 1, 189-207, Amer. Math. Soc., Providence, R.I., 1979.
  • 10Bump, Daniel, The Rankin-Selberg method: an introduction and survey, Automorphic representations, L-functions and applications: progress and prospects, 41-73, Ohio State Univ. Math. Res. Inst. Publ., 11, de Gruyter, Berlin, 2005.
数学进展
2008年 第2期

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