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Seminars

Number Theory Seminar

Profinite Iterated Monodromy Groups of Unicritical Polynomials

2026/05/22 (Fri.) 14:00~15:00
  • Date : 2026/05/22 (Fri.) 14:00~15:00
  • Location : Seminar Room 617, Institute of Mathematics (NTU Campus)
  • Speaker : Trevor Hyde (Vassar College)
  • Organizer : Julie Tzu-Yueh Wang (AS)
  • Abstract :
    Let f be a polynomial with coefficients in a field K and let t be a variable. The Galois group of the extension of K(t) formed by adjoining all iterated f pre-images of t is called the arithmetic profinite iterated monodromy group (pIMG) of f. I'll discuss some recent joint work with Ophelia Adams on the structure of the pIMG of when f is a unicritical polynomial with degree coprime to char(K).
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