Loading Web-Font TeX/Math/Italic
| Register
\newcommand{\Cat}{{\rm Cat}} \newcommand{\A}{\mathcal A} \newcommand{\freestar}{ \framebox[7pt]{$\star$} }

9. At what level do we see deformation?


    1. Add remark

      Problem 9.1.

      [Boston] Is there a deformation theory for arboreal Galois representations?
        1. Remark. Consider x^2+t where t^2=0 over Artinian ring K[t]/t^2 or K[t]/t^n for n\geq 1.
            • Remark. [Boston] Can we parametrize arboreal Galois representations as we do p-adic Galois representations? This is different from the direction of the other remark.


                • Add remark

                  Problem 9.2.

                  To what level can the representation associated to two quadratic polynomials agree?

                      Cite this as: AimPL: The Galois theory of orbits in arithmetic dynamics, available at http://aimpl.org/galarithdyn.