COMPATIBLE SYSTEMS of GALOIS REPRESENTATIONS ASSOCIATED to the EXCEPTIONAL GROUP

George Boxer; F. R.A.N.K. Calegari; Matthew Emerton; Brandon Levin; Keerthi Madapusi Pera; Stefan Patrikis

doi:10.1017/fms.2018.24

COMPATIBLE SYSTEMS of GALOIS REPRESENTATIONS ASSOCIATED to the EXCEPTIONAL GROUP

George Boxer, F. R.A.N.K. Calegari, Matthew Emerton, Brandon Levin, Keerthi Madapusi Pera, Stefan Patrikis

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

2 Scopus citations

Abstract

We construct, over any CM field, compatible systems of -adic Galois representations that appear in the cohomology of algebraic varieties and have (for all) algebraic monodromy groups equal to the exceptional group of type.

Original language	English (US)
Journal	Forum of Mathematics, Sigma
DOIs	https://doi.org/10.1017/fms.2018.24
State	Accepted/In press - 2019
Externally published	Yes

Keywords

11F70
11F80 (primary)
2010 Mathematics Subject Classification:
20G41 (secondary)

ASJC Scopus subject areas

Analysis
Theoretical Computer Science
Algebra and Number Theory
Statistics and Probability
Mathematical Physics
Geometry and Topology
Discrete Mathematics and Combinatorics
Computational Mathematics

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10.1017/fms.2018.24

Cite this

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title = "COMPATIBLE SYSTEMS of GALOIS REPRESENTATIONS ASSOCIATED to the EXCEPTIONAL GROUP",

abstract = "We construct, over any CM field, compatible systems of -adic Galois representations that appear in the cohomology of algebraic varieties and have (for all) algebraic monodromy groups equal to the exceptional group of type.",

keywords = "11F70, 11F80 (primary), 2010 Mathematics Subject Classification:, 20G41 (secondary)",

author = "George Boxer and Calegari, {F. R.A.N.K.} and Matthew Emerton and Brandon Levin and {Madapusi Pera}, Keerthi and Stefan Patrikis",

note = "Publisher Copyright: {\textcopyright} The Author(s) 2019 This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited.",

year = "2019",

doi = "10.1017/fms.2018.24",

language = "English (US)",

journal = "Forum of Mathematics, Sigma",

issn = "2050-5094",

publisher = "Cambridge University Press",

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T1 - COMPATIBLE SYSTEMS of GALOIS REPRESENTATIONS ASSOCIATED to the EXCEPTIONAL GROUP

AU - Boxer, George

AU - Calegari, F. R.A.N.K.

AU - Emerton, Matthew

AU - Levin, Brandon

AU - Madapusi Pera, Keerthi

AU - Patrikis, Stefan

N1 - Publisher Copyright: © The Author(s) 2019 This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited.

PY - 2019

Y1 - 2019

N2 - We construct, over any CM field, compatible systems of -adic Galois representations that appear in the cohomology of algebraic varieties and have (for all) algebraic monodromy groups equal to the exceptional group of type.

AB - We construct, over any CM field, compatible systems of -adic Galois representations that appear in the cohomology of algebraic varieties and have (for all) algebraic monodromy groups equal to the exceptional group of type.

KW - 11F70

KW - 11F80 (primary)

KW - 2010 Mathematics Subject Classification:

KW - 20G41 (secondary)

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UR - http://www.scopus.com/inward/citedby.url?scp=85061142269&partnerID=8YFLogxK

U2 - 10.1017/fms.2018.24

DO - 10.1017/fms.2018.24

M3 - Article

AN - SCOPUS:85061142269

JO - Forum of Mathematics, Sigma

JF - Forum of Mathematics, Sigma

SN - 2050-5094

ER -

COMPATIBLE SYSTEMS of GALOIS REPRESENTATIONS ASSOCIATED to the EXCEPTIONAL GROUP

Abstract

Keywords

ASJC Scopus subject areas

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