5/17/2019, David Krumm, Reed College A family of Galois groups in arithmetic dynamics

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.