Speaker Affiliation :
Date(s) - 23/01/2020
11 h 00 min - 12 h 00 min
Valentijn KAREMAKER (University of Pennsylvania)
Arboreal Galois representations are useful to describe the Galois theory of iterates of rational maps over number fields. These representations were introduced in the 1980s to study the prime divisors of non-linear recurrences (also called dynamical sequences).
We study so-called dynamical Belyi maps; for these rational maps, we fully determine their arboreal Galois representations, and prove a result about the density of prime divisors of the corresponding dynamical sequences.
This is joint work with Irene Bouw and Özlem Ejder.