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arXiv · 1210.1789

Whittaker models and the integral Bernstein center for GL_n

David Helm
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Abstract

We establish integral analogues of results of Bushnell and Henniart for spaces of Whittaker functions arising from the groups GL_n(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 Emerton-Helm, and reduce the question of the existence of such representations to a natural conjecture relating the integral Bernstein center of GL_n(F) to the deformation theory of Galois representations.

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David Helm. 2012-10-05. Whittaker models and the integral Bernstein center for GL_n. https://doi.org/10.1215/00127094-3450422

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