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Publications [#320413] of Jayce R. Getz

Papers Published

  1. Getz, JR, Nonabelian fourier transforms for spherical representations, Pacific Journal of Mathematics, vol. 294 no. 2 (January, 2018), pp. 351-373, Mathematical Sciences Publishers [doi]
    (last updated on 2021/11/30)

    Abstract:
    Braverman and Kazhdan have introduced an influential conjecture on local functional equations for general Langlands L-functions. It is related to L. Lafforgue's equally influential conjectural construction of kernels for functorial transfers. We formulate and prove a version of Braverman and Kazhdan's conjecture for spherical representations over an archimedean field that is suitable for application to the trace formula. We then give a global application related to Langlands' beyond endoscopy proposal. It is motivated by NgĂ´'s suggestion that one combine nonabelian Fourier transforms with the trace formula in order to prove the functional equations of Langlands L-functions in general.

 

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