Automorphic cohomology, motivic cohomology, and the adjoint L-function
By: Kartik Prasanna & Akshay Venkatesh
Contributors: Venkatesh, Akshay, 1981- author; Société mathématique de France
Series: Astérisque -- numéro 428, 2021.; Astérisque -- 428.
Publisher: Société mathématique de France
Published: 2021
Place of publication: Paris
Language: eng
Number of pages: 132
ISBN-13: 9782856299432
Copyright date: 2021
Subjects: Homology theory
Description: "We propose a relationship between the cohomology of arithmetic groups, and the motivic cohomology of certain (Langlands-)attached motives. The motivic cohomology group in question is that related, by Beilinson's conjecture, to the adjoint L-function at s=1. We present evidence for the conjecture using the theory of periods of automorphic forms, and using analytic torsion." --
Notes: Includes bibliographical references (pages 127-132).

Text in English with English and French abstracts.