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12. Study wild ramification in arboreal Galois representations


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      Problem 12.1.

      [Jones] Say something interesting about wild ramification for arboreal representations. e.g. study Galois representations over local fields of residue characteristic dividing degree of f (or even less than or equal to the degree). e.g. An arboreal version of Sen’s theorem.


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          Problem 12.2.

          Let f(z)=z^2+1 over \mathbb{Q}_2. What is the size, etc, of the arboreal representation?

              Cite this as: AimPL: The Galois theory of orbits in arithmetic dynamics, available at http://aimpl.org/galarithdyn.