• Corpus ID: 220041667

# Dessins for Modular Operad and Grothendieck-Teichmuller Group

@article{Combe2020DessinsFM,
title={Dessins for Modular Operad and Grothendieck-Teichmuller Group},
author={Noemie C. Combe and Yu. I. Manin and Matilde Marcolli},
journal={arXiv: Algebraic Geometry},
year={2020}
}
• Published 3 June 2020
• Mathematics
• arXiv: Algebraic Geometry
A part of Grothendieck's program for studying the Galois group $G_{\mathbb Q}$ of the field of all algebraic numbers $\overline{\mathbb Q}$ emerged from his insight that one should lift its action upon $\overline{\mathbb Q}$ to the action of $G_{\mathbb Q}$ upon the (appropriately defined) profinite completion of $\pi_1({\mathbb P}^1 \setminus \{0,1, \infty\})$. The latter admits a good combinatorial encoding via finite graphs "dessins d'enfant". This part was actively developing during the…
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