Share
Eisenstein Cohomology for gln and the Special Values of Rankin-Selberg L-Functions: (Ams-203) (Annals of Mathematics Studies)
Anantharam Raghuram; Gunter Harder (Author)
·
Princeton Univ Pr
· Paperback
Eisenstein Cohomology for gln and the Special Values of Rankin-Selberg L-Functions: (Ams-203) (Annals of Mathematics Studies) - Anantharam Raghuram; Gunter Harder
Choose the list to add your product or create one New List
✓ Product added successfully to the Wishlist.
Go to My Wishlists
Origin: U.S.A.
(Import costs included in the price)
It will be shipped from our warehouse between
Monday, June 24 and
Wednesday, July 10.
You will receive it anywhere in United Kingdom between 1 and 3 business days after shipment.
Synopsis "Eisenstein Cohomology for gln and the Special Values of Rankin-Selberg L-Functions: (Ams-203) (Annals of Mathematics Studies)"
This book studies the interplay between the geometry and topology of locally symmetric spaces, and the arithmetic aspects of the special values of L-functions. The authors study the cohomology of locally symmetric spaces for GL(N) where the cohomology groups are with coefficients in a local system attached to a finite-dimensional algebraic representation of GL(N). The image of the global cohomology in the cohomology of the Borel-Serre boundary is called Eisenstein cohomology, since at a transcendental level the cohomology classes may be described in terms of Eisenstein series and induced representations. However, because the groups are sheaf-theoretically defined, one can control their rationality and even integrality properties. A celebrated theorem by Langlands describes the constant term of an Eisenstein series in terms of automorphic L-functions. A cohomological interpretation of this theorem in terms of maps in Eisenstein cohomology allows the authors to study the rationality properties of the special values of Rankin-Selberg L-functions for GL(n) x GL(m), where n + m = N. The authors carry through the entire program with an eye toward generalizations. This book should be of interest to advanced graduate students and researchers interested in number theory, automorphic forms, representation theory, and the cohomology of arithmetic groups.
- 0% (0)
- 0% (0)
- 0% (0)
- 0% (0)
- 0% (0)
All books in our catalog are Original.
The book is written in English.
The binding of this edition is Paperback.
✓ Producto agregado correctamente al carro, Ir a Pagar.