On the generating series of degree sequences in algebraic dynamics

par Quang-Khai Nguyen (Université de Lyon 1)

vendredi 22 mai 2026, 10:30 → 12:30 Europe/Paris

In algebraic dynamics, dynamical degrees are fundamental birational invariants that capture the growth of degree sequences. In 2020, Bell, Diller, and Jonsson gave the first example of a rational map whose dynamical degree is transcendental by studying the generating series of its degree sequences. In this talk, I will present some analytic and algebraic properties of such series for monomial maps. We show that, in some cases, rationality is rather the exceptional case.