The inertial Jacquet-Langlands correspondence

2017/07/03 by Andrea Dotto, Dotto, Andrea
Mathematics · #FOS: Mathematics #Number Theory (math.NT) #Representation Theory (math.RT) #math.NT #math.RT

paper · pdf · doi:10.48550/arxiv.1707.00635

29 pages, v3: expository changes

arxiv created 2021/03/23 · arxiv updated 2021/03/25

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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