Corpus ID: 237571790

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

  title={Universality of the Galois action on the fundamental group of \$\mathbb\{P\}^1\setminus\\{0,1,\infty\\}\$},
  author={Alexander Petrov},
  • Alexander Petrov
  • Published 20 September 2021
  • Mathematics
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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