Abstract: One cannot escape the similarities between the Galois theory of field extensions and the topological theory of covering spaces and fundamental groups. In particular, in both theories, there are objects that sit at the top whose automorphisms form a group: the absolute Galois group in the former case and the fundamental group in the latter. Moreover, taking subgroups we get intermediate objects and in some nice cases, the automorphism groups of these intermediate objects arise as quotients of the larger automorphism group. In this talk, we will peel back the similarities between these two theories and look at an example where these two theories naturally converge.
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