April 8, 2025Open Access

Universality of the Galois action on the fundamental group of P^1\0, 1, \

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Abstract

We prove that any semisimple 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 three punctures.

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Alexander A. Petrov (Tue,) studied this question.

synapsesocial.com/papers/68e55b4ce2b3180350ef8975 https://doi.org/https://doi.org/10.4171/jems/1631

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