An Application Of The Cohomology Of Arithmetic Groups To The Values Of Automorphic L Functions On Gln
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Eisenstein Cohomology for GLN and the Special Values of Rankin–Selberg L-Functions
Author: Günter Harder
language: en
Publisher: Princeton University Press
Release Date: 2020
Introduction -- The cohomology of GLn -- Analytic tools -- Boundary cohomology -- The strongly inner spectrum and applications -- Eisenstein cohomology -- L-functions -- Harish-Chandra modules over Z / by Günter Harder -- Archimedean intertwining operator / by Uwe Weselmann.
Cohomology of Arithmetic Groups and Automorphic Forms
Cohomology of arithmetic groups serves as a tool in studying possible relations between the theory of automorphic forms and the arithmetic of algebraic varieties resp. the geometry of locally symmetric spaces. These proceedings will serve as a guide to this still rapidly developing area of mathematics. Besides two survey articles, the contributions are original research papers.
Eisenstein Series and Applications
Author: Wee Teck Gan
language: en
Publisher: Springer Science & Business Media
Release Date: 2007-12-22
Eisenstein series are an essential ingredient in the spectral theory of automorphic forms and an important tool in the theory of L-functions. They have also been exploited extensively by number theorists for many arithmetic purposes. Bringing together contributions from areas which do not usually interact with each other, this volume introduces diverse users of Eisenstein series to a variety of important applications. With this juxtaposition of perspectives, the reader obtains deeper insights into the arithmetic of Eisenstein series. The central theme of the exposition focuses on the common structural properties of Eisenstein series occurring in many related applications.