$(p\)-adic Langlands functoriality for the definite unitary group$

(p\)-adic Langlands functoriality for the definite unitary group

We formalise a notion of $p$-adic Langlands functoriality for the definite unitary group. This extends the classical notion of Langlands functoriality to the setting of eigenvarieties. We apply some results of Chenevier to obtain some cases of $p$-adic Langlands functoriality by interpolating kn...

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Veröffentlicht in:	arXiv.org 2012-06
1. Verfasser:	Paul-James, White
Format:	Artikel
Sprache:	eng
Online-Zugang:	Volltext
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Zusammenfassung:	We formalise a notion of $p$-adic Langlands functoriality for the definite unitary group. This extends the classical notion of Langlands functoriality to the setting of eigenvarieties. We apply some results of Chenevier to obtain some cases of $p$-adic Langlands functoriality by interpolating known cases of classical Langlands functoriality.
ISSN:	2331-8422

Zusammenfassung:	We formalise a notion of \(p\)-adic Langlands functoriality for the definite unitary group. This extends the classical notion of Langlands functoriality to the setting of eigenvarieties. We apply some results of Chenevier to obtain some cases of \(p\)-adic Langlands functoriality by interpolating known cases of classical Langlands functoriality.
ISSN:	2331-8422