Galois uniformity in arithmetic dynamics

@inproceedings{Hindes2015GaloisUI,
  title={Galois uniformity in arithmetic dynamics},
  author={Wade Hindes},
  year={2015}
}
of “Galois uniformity in arithmetic dynamics” by Wade Hindes, Ph.D., Brown University, May 2015 Abstract In this thesis, we study the large image uniformity of Galois representations in arithmetic dynamics, a concept analogous to Serre’s uniformity conjecture for elliptic curves. Specifically, we prove that the arboreal Galois representations attached to a large class of quadratic polynomials defined over a field of rational functions in characteristic zero have finite index in the full… CONTINUE READING

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