Conductors in p-adic families

Jyoti Prakash Saha

doi:10.1007/s11139-016-9836-7

Conductors in p-adic families

Jyoti Prakash Saha

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

Given a Weil-Deligne representation of the Weil group of an ℓ-adic number field with coefficients in a domain O, we show that its pure specializations have the same conductor. More generally, we prove that the conductors of a collection of pure representations are equal if they lift to Weil-Deligne representations over domains containing O and the traces of these lifts are parametrized by a pseudorepresentation over O.

Original language	English
Pages (from-to)	359-366
Number of pages	8
Journal	Ramanujan Journal
Volume	44
Issue number	2
DOIs	https://doi.org/10.1007/s11139-016-9836-7
State	Published - 1 Nov 2017
Externally published	Yes

Keywords

Conductors
Pure representations
p-adic families of automorphic forms

ASJC Scopus subject areas

Algebra and Number Theory

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10.1007/s11139-016-9836-7

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abstract = "Given a Weil-Deligne representation of the Weil group of an ℓ-adic number field with coefficients in a domain O, we show that its pure specializations have the same conductor. More generally, we prove that the conductors of a collection of pure representations are equal if they lift to Weil-Deligne representations over domains containing O and the traces of these lifts are parametrized by a pseudorepresentation over O.",

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AB - Given a Weil-Deligne representation of the Weil group of an ℓ-adic number field with coefficients in a domain O, we show that its pure specializations have the same conductor. More generally, we prove that the conductors of a collection of pure representations are equal if they lift to Weil-Deligne representations over domains containing O and the traces of these lifts are parametrized by a pseudorepresentation over O.

KW - Conductors

KW - Pure representations

KW - p-adic families of automorphic forms

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Conductors in p-adic families

Abstract

Keywords

ASJC Scopus subject areas

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