pith. sign in

arxiv: 1609.06370 · v2 · pith:HGHPWOFWnew · submitted 2016-09-20 · 🧮 math.NT

Automorphic cohomology, motivic cohomology, and the adjoint L-function

classification 🧮 math.NT
keywords cohomologymotivicadjointautomorphicconjecturefunctionanalyticarithmetic
0
0 comments X
read the original abstract

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.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.