这种情况下的Ramanujan-Petersson猜想仍是开问题。另一方面,可以利用表示论的观点对Hecke理论进行重述和推广,参见Bump,Automorphic Forms and Representations. 参见他在1960年写给Serre的私人信件。Milne,The Riemann Hypothesis over Finite Fiels: From Weil to the Present Day收录了此信的影印件,并附有英文翻译。 10/...
GTM52, Hartshorne的Algebraic geometry如果问一个学自守表示的人,也许他会推荐很多入门教材给你,例如D. Bump的Automorphic forms and representations,Goldment的Notes on Jacquet and Langlands,Gelbert的Automorphic forms on Adele Groups……但如果你问一个自守表示的专家,让他选择一本他手头必备的教材,那一定是这本...
Automorphic formsIntermediate in level between an advanced textbook and a monograph, this book covers both the classical and representation theoretic views of automorphic forms in a style which is accessible to graduate students entering the field. The treatment is based on complete proofs, which ...
Representations of Reductive p-adic Groups and Langlands program 2046 -- 1:00:01 App 【p进群的表示】【IAS】Representations of p-adic groups by Jessica Fintzen 450 -- 39:34:19 App Automorphic Project&Research Seminar 381 -- 57:21 App 【解析数论】Quantum Variance for Automorphic Forms 131...
《【预订】Automorphic Forms and Representations》,作者:【预订】Automorphic Forms and RepresentationsBump 著,出版社:Cambridge University Press,ISBN:9780521658188。
Automorphic Forms on Adele Groups.豆瓣评分:0.0 简介:The subject matter of these Notes is the interplay between the theory of automorphic forms and group representations. One goal is to interpret some recent developments in this area, most significantly
Arthur-César Le Bras - The Fargues-Fontaine curve and local Langlands 308 -- 1:34:24 App Geordie Williamson - 模表示论, 第7周 43 -- 58:30 App Ashwin Iyengar- Gamma factors for mod 𝓁 representations of finite general 93 -- 1:09:56 App James Borger - Lambda-代数几何2: W和Lambd...
Automorphic Forms and Representations: Representations of GL(2) Over a p-adic Field INTRODUCTION TO THE ARITHMETIC THEORY OF AUTOMORPHIC FUNCTIONS Introduction to the arithmetic theory of automorphic functions. On Euler Products and the Classification of Automorphic Representations I ...
We therefore introduce also some basic concepts of string theory, aimed toward mathematicians, emphasising the role of automorphic forms. In addition, we explain how the classical theory of Hecke operators fits into the modern theory of automorphic representations of adelic groups, thereby providing a...
ON CRITICAL VALUES OF ADJOINT $L$-FUNCTIONS FOR $GSp(4)$(Automorphic Forms and Automorphic L-Functions)We express Petersson norms of certain generic cusp forms on GSp(4) in terms of critical values of adjoint L-functions for GSp(... A Ichino - Kyoto University 被引量: 0发表: 2006年 ON...