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58 votes
10 answers
11k views

What are dessins d'enfants?

There was an observation that any algebraic curve over Q can be rationally mapped to P^1 without three points and this led Grothendieck to define a special class of these mappings, called the Children …
8 votes
1 answer
595 views

Cartographic group and flat stringy connection

There's a literature about dessins d'enfants (including my previous question here), and one amazing thing about them is that absolute Galois group Gal Q acts on cartographic group which, I believe, is …
3 votes
0 answers
801 views

Children's drawings and Seiberg-Witten curves

This physics (bear with me for a while) paper seems to say something about Gal \bar Q/Q: Children's Drawings From Seiberg-Witten Curves, hep-th/061108. Let's begin with my limited understanding of …
5 votes

"Understanding" $\mathrm{Gal}(\bar{\mathbb{Q}}/\mathbb{Q})$

I'm far from expect in this topic, but here's my attempt. First, and that's something quite straightforward, people want to study Gal Q (this is how I will denote it; this common shortcut is defined …
Ilya Nikokoshev's user avatar