# 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} }

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…

## 4 Citations

Cech cover of the complement of the discriminant variety

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In a previous article [CMMar20], we developed the pioneering Grothendieck approach to the problem of description of the absolute Galois group Gal(Q/Q) based upon dessins d’enfant. Namely, we replaced…

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