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Creators/Authors contains: "Prasanna, Kartik"

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  1. ; (, Forum of Mathematics, Pi)
    We prove that the Jacquet–Langlands correspondence for cohomological automorphic forms on quaternionic Shimura varieties is realized by a Hodge class. Conditional on Kottwitz’s conjecture for Shimura varieties attached to unitary similitude groups, we also show that the image of this Hodge class in ℓ-adic cohomology is Galois invariant for all ℓ. 
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  2. ; (, Asterisque)
    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. 
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    Accepted Manuscript Full Text Available
  3. ; ; ; (, Mathematische Zeitschrift)
    null (Ed.)
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