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Tyler Lawson
Dessins d'Enfants (Children's Drawings)
Abstract:
I'll be talking about the relationship between Galois theory and covering
space theory, and in particular how they meet inside \'etale homotopy
theory. In particular, there are actions of Galois groups on profinite
completions of fundamental groups of algebraic varieties.
In particular, the case of curves leads to an action of the Galois group
of Q on a certain family of graphs (which can be made to include fat
graphs); this turns out to be injective.
People who are interested in string topology should not be excited by the
mention of fat graphs.
The talk should be fairly light.
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