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arXiv · 1707.00635

The inertial Jacquet-Langlands correspondence

Andrea Dotto
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Abstract

We give a parametrization of the simple Bernstein components of inner forms of a general linear group over a local field by invariants constructed from type theory, and explicitly describe its behaviour under the Jacquet-Langlands correspondence. Along the way, we prove a conjecture of Broussous, Sécherre and Stevens on preservation of endo-classes.

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Andrea Dotto. 2021-03-23. The inertial Jacquet-Langlands correspondence. https://arxiv.org/abs/1707.00635

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