Misiurewicz polynomials and dynamical units Rob Benedetto, Amherst College Host: John Doyle Please contact John Doyle (john.r.doyle@okstate.edu) for the Zoom link.
Also, note the start time is 10 minutes later than usual.
Abstract: Fix an integer $d\geq 2$, and consider the degree $d$ unicritical polynomial family $f_c(z)=z^d+c$. The $c$-values for which $f_c$ has strictly preperiodic postcritical orbit are called Misiurewicz parameters, and their defining polynomials are called Misiurewicz polynomials. We present various arithmetic results about these special algebraic integers, especially results on algebraic units that can be obtained by evaluating a Misiurewicz polynomial at a different Misiurewicz parameter. This project is joint work with Vefa Goksel.
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