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SUMMARY:Daniel Tedeschi (Colorado State University)
DTSTART:20260324T200000Z
DTEND:20260324T210000Z
DTSTAMP:20260422T173821Z
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 Five College Number Theory Seminar\n\nLe
 cture held in Seeley Mudd 205 @Amherst College.\n\nAbstract\nDynamical sys
 tems come naturally equipped with an algebraic invariant called the (profi
 nite) iterated monodromy group. In this talk\, we introduce a dynamical an
 alogue of the lifting problem for Galois covers\, considering lifts of a d
 ynamical system which preserve its iterated monodromy group. We compute th
 e iterated monodromy group of all additive\, separable polynomials defined
  over $\\overline{\\mathbb{F}}_p$ and explore barriers to the resulting gr
 oup arising in characteristic zero. We compare the degree $p$ case with a 
 $\\mathbb{Z}/p\\mathbb{Z}$-lift explicitly constructed by Green and Matign
 on\, and find that no lift which preserves the geometric iterated monodrom
 y group can exist.\n
LOCATION:https://researchseminars.org/talk/FCNTS/24/
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