Jump to ContentJump to Main Navigation
Eisenstein Cohomology for GL and the Special Values of Rankin-Selberg L-Functions(AMS-203)$
Users without a subscription are not able to see the full content.

Anantharam Raghuram and Günter Harder

Print publication date: 2019

Print ISBN-13: 9780691197890

Published to Princeton Scholarship Online: September 2020

DOI: 10.23943/princeton/9780691197890.001.0001

Show Summary Details
Page of

PRINTED FROM PRINCETON SCHOLARSHIP ONLINE (www.princeton.universitypressscholarship.com). (c) Copyright Princeton University Press, 2022. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in PRSO for personal use.date: 25 May 2022

The Cohomology of GLn

The Cohomology of GLn

(p.12) Chapter Two The Cohomology of GLn
Eisenstein Cohomology for GL and the Special Values of Rankin-Selberg L-Functions

Günter Harder

A. Raghuram

Princeton University Press

This chapter addresses the cohomology of GLn. It first discusses the adèlic locally symmetric space. Next, the chapter turns to the highest weight modules 𝓜λ‎ and the sheaves 𝓜̃λ‎. From there, the chapter illustrates the cohomology of the sheaves 𝓜̃λ‎. A fundamental problem at the heart of this monograph is to understand the arithmetic information contained in the sheaf-theoretically defined cohomology groups H(SGKf,𝓜̃λ‎,E). Finally, the chapter briefly discusses how to refine many of the foregoing considerations to talk about integral sheaves and their cohomology and why this is interesting. This aspect is not so relevant for the results in this book, but it will become relevant when applying certain refinements of the results to arithmetic questions.

Keywords:   adèlic locally symmetric space, highest weight modules, integral sheaves, cohomology groups, Weyl group

Princeton Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

Please, subscribe or login to access full text content.

If you think you should have access to this title, please contact your librarian.

To troubleshoot, please check our FAQs , and if you can't find the answer there, please contact us.