WHITTAKER MODELS AND THE INTEGRAL BERNSTEIN CENTER FOR GLn

Abstract

We establish integral analogues of results of Bushnell and Henniart [BH] for spaces of Whittaker functions arising from the groups GLn(F ) for F a p-adic field. We apply the resulting theory to the existence of representations arising from the conjectural “local Langlands correspondence in families” of [EH], and reduce the question of the existence of such representations to a natural conjecture relating the integral Bernstein center of GLn(F ) to the deformation theory of Galois representations.

Cite this paper

@inproceedings{Helm2012WHITTAKERMA, title={WHITTAKER MODELS AND THE INTEGRAL BERNSTEIN CENTER FOR GLn}, author={David Helm}, year={2012} }