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Performance cookies are used to understand and analyze the key performance indexes of the website which helps in delivering a better user experience for the visitors. Following the idea of Vogan in The local Langlands conjecture.
Representation theory of groups and algebras, , Contemp. Following the idea of. This book consists of survey articles and original research papers in the representation theory of reductive p-adic groups.
In particular, it includes a survey by Anne-Marie Aubert on the enormously influential local Langlands conjectures. In particular, it includes a survey by Anne-Marie Aubert on the enormously influential local Langlands conjectures. The survey gives a precise and accessible formulation of many aspects of the conjectures, highlighting recent refinements, due to the author and her collaborators, and their current status. The remaining papers touch on a range of topics in this active area of modern mathematics: group actions on root data, explicit character formulas, classification of discrete series representations, unicity of types, local converse theorems, completions of Hecke algebras, p-adic symmetric spaces.
All meet a high level of exposition. The book should be a valuable resource to graduate students and experienced researchers alike. The aim of this volume is to present, through a mix of research and expository articles, some of the fascinating new directions in number theory and representation theory arising from recent developments in the Langlands program.
Special emphasis is placed on nonclassical versions of the conjectural Langlands correspondences, where the underlying field is no longer the complex numbers. The resulting classification can be seen as an extension of Cartan's classification of symmetric spaces, i.
The authors show that their methods work equally well also in the algebraic case where the loops are assumed to have finite Fourier expansions. An abp application module that allows users to share resources with each other. Install the following NuGet packages. Add builder. Add EF Core migrations and update your database. See: ABP document. Skip to content. Star MIT License. Branches Tags.
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