Universality of the Galois action on the fundamental group of $\mathbb{P}^{1}\setminus\{0,1,\infty\}$
Year: 2025
Type: article
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.
DOI: 10.4171/jems/1631
Author: Alexander Petrov
Institution: Institute for Advanced Study
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W3201085174