The infinite base change lifting associated to an APF extension of a $p$-adic field

zbMATH Open1425.11114arXiv1509.01684MaRDI QIDQ5235877

Megumi Takata

Publication date: 14 October 2019

Abstract: In this paper, the author proved that the base change lifting associated to a totally ramified extension of a non-archimedean local field coincides with a map coming from the close fields theory of Kazhdan under some conditions. As a corollary, we can construct a base change lifting for an APF extension of a mixed characteristic local field.

Full work available at URL: https://arxiv.org/abs/1509.01684

zbMATH Keywords

field of normsclose fieldsAPF extensionslocal base change lifting

Mathematics Subject Classification ID

Galois theory (11S20) Galois representations (11F80) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Ramification and extension theory (11S15)

Related Items (1)

Formal groups and lifts of the field of norms

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