Book Description: Eisenstein Cohomology for GLN and the Special Values of Rankin-Selberg L-Functions (AMS203) Author: [List of Authors] December 3, 2019 Publisher: American Mathematical Society Summary: This book delves into the intricate relationship between geometry, topology, and arithmetic aspects of locally symmetric spaces and the special values of L-functions, providing a comprehensive understanding of the interplay between these disciplines. The authors explore the cohomology of locally symmetric spaces with coefficients in a local system attached to a finite-dimensional algebraic representation of GLN, discussing the image of the global cohomology in the cohomology of the Borel-Serre boundary, known as Eisenstein cohomology. They also examine the rationality properties of the special values of Rankin-Selberg L-functions for GLn x GLm, where n + m = N, using a cohomological interpretation of Langlands' theorem. The book is designed for advanced graduate students and researchers interested in number theory, automorphic forms, representation theory, and the cohomology of arithmetic groups.

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