Günter Harder

(Author)

Eisenstein Cohomology for Gln and the Special Values of Rankin-Selberg L-Functions: (Ams-203)Paperback, 3 December 2019

Eisenstein Cohomology for Gln and the Special Values of Rankin-Selberg L-Functions: (Ams-203)
Qty
1
Turbo
Ships in 2 - 3 days
Only 1 left
Free Delivery
Cash on Delivery
15 Days
Free Returns
Secure Checkout
Buy More, Save More
Part of Series
Annals of Mathematics Studies
Part of Series
Annals of Mathematics Studies, 203
Print Length
240 pages
Language
English
Publisher
Princeton University Press
Date Published
3 Dec 2019
ISBN-10
069119789X
ISBN-13
9780691197890

Description

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.

Product Details

Authors:
Günter HarderAnantharam Raghuram
Book Format:
Paperback
Country of Origin:
US
Date Published:
3 December 2019
Dimensions:
23.11 x 15.49 x 1.52 cm
ISBN-10:
069119789X
ISBN-13:
9780691197890
Language:
English
Location:
Princeton
Pages:
240
Weight:
340.19 gm

Related Categories


Need Help?
+971 6 731 0280
support@gzb.ae

About UsContact UsPayment MethodsFAQsShipping PolicyRefund and ReturnTerms of UsePrivacy PolicyCookie Notice

VisaMastercardCash on Delivery

© 2024 White Lion General Trading LLC. All rights reserved.