The Galois theory of orbits in arithmetic dynamics

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

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• Density results for PCF polynomials
• Conjugacy Invariants
• Geometric vs. Arithmetic representations
• Dynatomic Modular Curves
• Boundary of $M_d$
• Critical Relations
• Dynatomic side
• At what level do we see deformation?
• Find more arboreal Galois representations
• Formal period $n$
• Study wild ramification in arboreal Galois representations
• Category of arboreal representations
• Inverse Arboreal Galois Problem (IAGP)
• Galois independence of distinct dynamical systems
• Local Global Principle for arboreal Galois representations