David Krumm, Reed College
A family of Galois groups in arithmetic dynamics Given a polynomial map
f:ℚ→ℚ, one can naturally associate to
f a sequence of Galois groups
Gn,f which encodes information about the dynamical properties of
f. A precise understanding of how the structure of these groups changes as
f varies (for instance, among all maps of a fixed degree
d) would yield important results in arithmetic dynamics. In this talk we will discuss the family of groups
Gn,f in the case where
f has degree 2.
