Abelian dynamical Galois groups – Andrea Ferraguti (SNS, Pisa)


Dipartimento di Matematica, Aula Seminari.


Dynamical Galois groups are invariants associated to dynamical systems generated by the iteration of a self-rational map of $\mathbb{P}^1$. 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.

Further information is available on the event page on the Indico platform.

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