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SUMMARY:Daniel Tedeschi (Colorado State University)
DTSTART:20260324T200000Z
DTEND:20260324T210000Z
DTSTAMP:20260824T073928Z
UID:FCNTS/24
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/FCNTS/24/">A
  family of wildly ramified dynamical systems</a>\nby Daniel Tedeschi (Colo
 rado State University) as part of Pioneer Valley Number Theory Seminar\n\n
 Lecture held in Seeley Mudd 205 @Amherst College.\n\nAbstract\nDynamical s
 ystems come naturally equipped with an algebraic invariant called the (pro
 finite) iterated monodromy group. In this talk\, we introduce a dynamical 
 analogue of the lifting problem for Galois covers\, considering lifts of a
  dynamical system which preserve its iterated monodromy group. We compute 
 the iterated monodromy group of all additive\, separable polynomials defin
 ed over $\\overline{\\mathbb{F}}_p$ and explore barriers to the resulting 
 group arising in characteristic zero. We compare the degree $p$ case with 
 a $\\mathbb{Z}/p\\mathbb{Z}$-lift explicitly constructed by Green and Mati
 gnon\, and find that no lift which preserves the geometric iterated monodr
 omy group can exist.\n
LOCATION:https://researchseminars.org/talk/FCNTS/24/
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