Twisted dynamics on the Berkovich projective line

par Shengyuan Zhao (Institut de mathématiques de Toulouse)

vendredi 6 oct. 2023, 10:30 → 11:30 Europe/Paris

207 (Bat 1R2)

We consider the dynamics of the composition of a rational function with a Galois action, acting on the Berkovich projective line of a non-archimedean field. Such an action can be considered as the analogue of anti-holomorphic map in the non-archimedean setting. It turns out that this new type of maps has a Fatou-Julia theory very similar to that of rational functions. I will also mention applications to skew product dynamics over complex numbers. This is joint work with Richard Birkett and Hongming Nie.