Universality of the Galois action on the fundamental group of P1∖{0,1,∞}

Petrov, Alexander

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Universality of the Galois action on the fundamental group of P1∖{0,1,∞}

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Petrov, Alexander
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.48550/arXiv.2109.09301
(Preprint)

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2109.09301.pdf
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Citation

Petrov, A. (submitted). Universality of the Galois action on the fundamental group of P1∖{0,1,∞}.

Cite as: https://hdl.handle.net/21.11116/0000-000F-6250-8

Abstract

We prove that any semi-simple representation of the Galois group of a number field coming from geometry appears as a subquotient of the ring of regular functions on the pro-algebraic completion of the fundamental group of the projective line with 3 punctures.