Interpolating local constants in families

Gilbert Moss

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arXiv · 1403.3914

Interpolating local constants in families

Gilbert Moss

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Abstract

We extend the theory of local constants to l-adic families of representations of GL_n(F) where F is a p-adic field with l not equal to p. We construct zeta integrals and gamma factors for representations coming from the conjectural "local Langlands correspondence in families" of Emerton-Helm, proving a rationality result and functional equation. We also construct a universal gamma factor with coefficients in the integral Bernstein center.

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Gilbert Moss. 2014-03-16. Interpolating local constants in families. https://arxiv.org/abs/1403.3914

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