Interpolating local constants in families
Number Theory
2015-08-24 v2 Representation Theory
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.
Cite
@article{arxiv.1403.3914,
title = {Interpolating local constants in families},
author = {Gilbert Moss},
journal= {arXiv preprint arXiv:1403.3914},
year = {2015}
}
Comments
Sections 2.3, 2.4 have been re-written to be more self-contained. To appear in Math Res. Lett