Advances in the Theory of Automorphic Forms and Their -functions
Advances in the Theory of Automorphic Forms and Their -functions
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自守形式及其函数理论进展
DOI：
10.1090/conm/664
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发表时间：
2016
期刊：
影响因子：
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通讯作者：
D. Soudry
中科院分区：
文献类型：
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作者：
Dihua Jiang;F. Shahidi;D. Soudry
这卷是一个收集的文件献给詹姆斯Cogdell在他的60岁生日之际，并发起了研讨会后，“在理论的进步自守形式和他们的L-功能”是在他的荣誉在欧文薛定谔研究所（ESI）的维也纳大学在2013年10月16日至25日期间举行。组委会成员有姜迪华、彼得·萨纳克、约阿希姆·施韦默和弗雷登·沙希迪。许多作者在讲习班上发言。但也有文件从其他人的工作有关或影响科格德尔的工作。科格德尔的工作跨越一个时期的30年，包括根本性的贡献理论的自守形式和L-职能，以及数论。在他最有影响力的工作是他的合作与伊利亚Piatetski，夏皮罗建立高度灵活和有用的匡威定理，导致了惊人的新成果朗兰兹泛函原则，深刻的后果数论，包括新的界限对Ramanujan猜想，在这个世纪之交。这是通过他们两人的直接贡献，连同金和Shahidi在经典群体的情况下，或间接作为其匡威定理的结果，在建立重要的情况下函的对称权力GL（2）在工作的后两个作者。这些函子性的例子是任何其他方法都无法得到的。Cogdell的贡献，直接理论的L-功能也相当深刻，并导致了更好地了解赫克理论的兰金-塞尔伯格
This volume is a collection of papers dedicated to James Cogdell on the occasion of his 60th birthday and was initiated after the workshop “Advances in the Theory of Automorphic Forms and Their L–functions” was held in his honor at the Erwin Schrödinger Institute (ESI) of the University of Vienna during the period October 16-25, 2013. Members of organizing committee were Dihua Jiang, Peter Sarnak, Joachim Schwermer and Freydoon Shahidi. A good number of authors are among those who spoke during the workshop. But there are papers from others whose work are related to or are influenced by Cogdell’s work.Cogdell’s work spans a period of 30 years and includes fundamental contributions to the theory of automorphic forms and L–functions, as well as number theory. Among his most influential work are his collaborations with Ilya Piatetski–Shapiro on establishing highly flexible and useful converse theorems which have led to striking new results on Langlands functoriality principle, with deep consequences in number theory including new bounds towards the Ramanujan conjecture, at the turn of this century. This was done either through direct contributions of the two of them, together with Kim and Shahidi in the case of classical groups, or indirectly as a consequence of their converse theorems in establishing important cases of functoriality for symmetric powers of GL (2) in the work of the latter two of the authors. These cases of functoriality are not available from any other approach. Cogdell’s contributions to the direct theory of L–functions are also quite profound and have led to a better understanding of Hecke theory for Rankin–Selberg