Geodesic
COMPATIBLE SYSTEMS OF GALOIS REPRESENTATIONS ASSOCIATED TO THE EXCEPTIONAL GROUP $E_{6}$
Forum of Mathematics, Sigma, Tome 7 (2019)

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We construct, over any CM field, compatible systems of $l$-adic Galois representations that appear in the cohomology of algebraic varieties and have (for all $l$) algebraic monodromy groups equal to the exceptional group of type $E_{6}$. 
@article{10_1017_fms_2018_24,
     author = {GEORGE BOXER and FRANK CALEGARI and MATTHEW EMERTON and BRANDON LEVIN and KEERTHI MADAPUSI PERA and STEFAN PATRIKIS},
     title = {COMPATIBLE {SYSTEMS} {OF} {GALOIS} {REPRESENTATIONS} {ASSOCIATED} {TO} {THE} {EXCEPTIONAL} {GROUP} $E_{6}$},
     journal = {Forum of Mathematics, Sigma},
     publisher = {mathdoc},
     volume = {7},
     year = {2019},
     doi = {10.1017/fms.2018.24},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/fms.2018.24/}
}
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GEORGE BOXER; FRANK CALEGARI; MATTHEW EMERTON; BRANDON LEVIN; KEERTHI MADAPUSI PERA; STEFAN PATRIKIS. COMPATIBLE SYSTEMS OF GALOIS REPRESENTATIONS ASSOCIATED TO THE EXCEPTIONAL GROUP $E_{6}$. Forum of Mathematics, Sigma, Tome 7 (2019). doi: 10.1017/fms.2018.24

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