MODULAR FORMS FOR NONCONGRUENCE SUBGROUPS
MODULAR FORMS FOR NONCONGRUENCE SUBGROUPS
复制标题
非一致性子群的模形式
DOI：
10.4310/pamq.2005.v1.n1.a9
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发表时间：
2005
影响因子：
0.7
通讯作者：
Zifeng Yang
中科院分区：
文献类型：
--
作者：
W. Li;Ling Long;Zifeng Yang
(Z)一直是世纪以来数论的中心课题之一。它对数学的许多分支有着广泛的应用和影响。朗兰兹程序是从表示论观点对这一问题的一个广泛推广。最近的亮点是由Wiles [Wi]，Taylor-Wiles [TW]和Breuil-Conrad-Diamond-Taylor[BCDT]证明了Taniyama-Shimura-Weil模猜想，这导致了Fermat最后定理的建立。
(Z) has been oneof the central topics in number theory for over one century. It has broad applica-tions and impact to many branches of mathematics. Langlands’ program is a vastgeneralization of this subject from representation-theoretic point of view. Themost recent highlight is the proof of the Taniyama-Shimura-Weil modularity con-jecture by Wiles [Wi], Taylor-Wiles [TW] , and Breuil-Conrad-Diamond-Taylor[BCDT], which leads to the establishment of Fermat’s last theorem.The story for noncongruence subgroups of