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Seminars

Number Theory Seminar

Galois Actions on Branch Groups

2026/11/20 (Fri.) 10:30~11:45
  • Date : 2026/11/20 (Fri.) 10:30~11:45
  • Location : Seminar Room 617, Institute of Mathematics (NTU Campus)
  • Speaker : Ophelia Adams (Academia Sinica)
  • Organizer : Julie Tzu-Yueh Wang (AS)
  • Abstract :
    Given a rational map f over a field K, we can define its profinite iterated monodromy group (pfIMG). This group has a fractal, self-similar structure induced by the dynamics, and admits an outer action by the absolute group. We will discuss a property of self-similar groups, branching, which places strong constraints on the outer action: when the pfIMG is regular branch, the Galois action factors through a finite quotient.
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