Comparison of the depths on both sides of the local Langlands correspondence for Weil-restricted groups (with an appendix by Jessica Fintzen)

Anne-Marie Aubert,Roger Plymen

doi:10.1016/j.jnt.2021.06.003

Comparison of the depths on both sides of the local Langlands correspondence for Weil-restricted groups (with an appendix by Jessica Fintzen)

Anne-Marie Aubert, Roger Plymen

Open Access

https://doi.org/10.1016/j.jnt.2021.06.003

Copy DOI

Journal: Journal of number theory	Publication Date: Jul 21, 2021
Citations: 1	License type: publisher-specific-oa

Affiliation: Institut de Mathématiques de Jussieu, University of Manchester

#Local Langlands Correspondence #Weil Restriction + Show 8 more

Abstract
Full-Text PDF
Similar Papers

Abstract

Let E/F be a finite and Galois extension of non-archimedean local fields. Let G be a connected reductive group defined over E and let M:=RE/FG be the reductive group over F obtained by Weil restriction of scalars. We investigate depth, and the enhanced local Langlands correspondence, in the transition from G(E) to M(F). We obtain a depth-comparison formula for Weil-restricted groups.

Full Text