3 problems

Let $f:(\mathbb{C}^N,0)\to(\mathbb{C}^N,0)$ be a superattracting germ over the complex numbers, equipped with the standard Euclidean norm, where $N\geq 1$. Écalle's conjecture. For…

Herman's divergence conjecture. For such fields, the formal conjugacy usually diverges, even for polynomials of one variable.

Let $K$ be a locally compact, complete valued field of prime characteristic, and consider polynomials of one variable over $K$ whose formal conjugacy is defined. Herman's divergenc…