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arXiv · 2109.09301

Universality of the Galois action on the fundamental group of $\mathbb{P}^1\setminus\{0,1,\infty\}$

Alexander Petrov
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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.

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Alexander Petrov. 2021-09-20. Universality of the Galois action on the fundamental group of $\mathbb{P}^1\setminus\{0,1,\infty\}$. https://arxiv.org/abs/2109.09301

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