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

Name: Work Video:
Duration: 3 min 30 s
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.
Kartik Prasanna; Akshay Venkatesh
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