Reductions of -dimensional semistable representations with large -invariant

John Bergdall; Brandon Levin; Tong Liu

doi:10.1017/S1474748022000081

Reductions of -dimensional semistable representations with large -invariant

John Bergdall, Brandon Levin, Tong Liu

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

1 Scopus citations

Abstract

We determine reductions of -dimensional, irreducible, semistable, and non-crystalline representations of with Hodge-Tate weights <![CDATA[ $0 and with -invariant whose p-adic norm is sufficiently large, depending on k. Our main result provides the first systematic examples of the reductions for.

Original language	English (US)
Pages (from-to)	2619-2644
Number of pages	26
Journal	Journal of the Institute of Mathematics of Jussieu
Volume	22
Issue number	6
DOIs	https://doi.org/10.1017/S1474748022000081
State	Published - Nov 1 2023
Externally published	Yes

Keywords

local Galois representations modulo p
p-adic Hodge theory
semistable representations

ASJC Scopus subject areas

General Mathematics

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10.1017/S1474748022000081

Cite this

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title = "Reductions of -dimensional semistable representations with large -invariant",

abstract = "We determine reductions of -dimensional, irreducible, semistable, and non-crystalline representations of with Hodge-Tate weights <![CDATA[ $0 and with -invariant whose p-adic norm is sufficiently large, depending on k. Our main result provides the first systematic examples of the reductions for.",

keywords = "local Galois representations modulo p, p-adic Hodge theory, semistable representations",

author = "John Bergdall and Brandon Levin and Tong Liu",

note = "Publisher Copyright: {\textcopyright} The Author(s), 2022. Published by Cambridge University Press.",

year = "2023",

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T1 - Reductions of -dimensional semistable representations with large -invariant

AU - Bergdall, John

AU - Levin, Brandon

AU - Liu, Tong

N1 - Publisher Copyright: © The Author(s), 2022. Published by Cambridge University Press.

PY - 2023/11/1

Y1 - 2023/11/1

N2 - We determine reductions of -dimensional, irreducible, semistable, and non-crystalline representations of with Hodge-Tate weights <![CDATA[ $0 and with -invariant whose p-adic norm is sufficiently large, depending on k. Our main result provides the first systematic examples of the reductions for.

AB - We determine reductions of -dimensional, irreducible, semistable, and non-crystalline representations of with Hodge-Tate weights <![CDATA[ $0 and with -invariant whose p-adic norm is sufficiently large, depending on k. Our main result provides the first systematic examples of the reductions for.

KW - local Galois representations modulo p

KW - p-adic Hodge theory

KW - semistable representations

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JF - Journal of the Institute of Mathematics of Jussieu

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ER -

Reductions of -dimensional semistable representations with large -invariant

Abstract

Keywords

ASJC Scopus subject areas

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