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15 votes

On what kind of objects do the Galois groups act?

There are some nice examples in knot theory and quantum algebra. If $X$ is an algebraic variety over $\mathbb{Q}$, there is a canonical outer action $G_{\mathbb{Q}} \rightarrow Out(\hat{\pi}_1(X(\mat …
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12 votes

Cartographic group and flat stringy connection

Yes, this is the so called Grothendieck-Teichmuller theory. The reference is the paper of Drinfeld, "On quasitriangular quasi-Hopf algebras and a group closely related to $Gal(\bar Q/Q)$". Following …
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