Seminari del Dipartimento
Teoria dei numeri Abelian dynamical Galois groups Andrea Ferraguti 27-01-2022 - 11:00 Largo San Leonardo Murialdo,1 - Pal.C - Aula 211
Dynamical Galois groups are invariants associated to dynamical systems generated by the iteration of a self-rational map of P^1. These are still very mysterious objects, and it is conjectured that abelian groups only appear in very special cases. We will show how the problem is deeply related to a dynamical property of these rational maps (namely that of being post-critically finite) and we will explain how to approach and prove certain non-trivial cases of the conjecture. This is based on joint works with A. Ostafe, C. Pagano and U. Zannier. |