This chapter discusses some relevant details of the cohomology of the boundary of the Borel–Serre compactification of the locally symmetric space SGKf. It first illustrates a spectral sequence converging to boundary cohomology. The chapter then turns to the cohomology of ∂PSG to better understand the cohomology of the boundary. Finally, the chapter describes the contribution of the discrete but noncuspidal spectrum to cohomology. It formulates the consequences of the description of the discrete spectrum in Mœglin–Waldspurger for the square integrable cohomology. In a sense, the chapter makes their results more explicit. It works at a transcendental level: the coefficient systems are ℂ-vector spaces.
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.
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.