Special Number Theory Seminar | Quang-Khai Nguyen | Generating Series in Algebraic Dynamics

Quang-Khai Nguyen, Universite de Lyon

Generating Series in Algebraic Dynamics

In this talk, we will discuss the generating series associated with a self-map of a projective variety. This series is important in understanding the dynamical degree and plays an important role in the recent construction of the transcendental dynamical degree by Bell, Diller, and Jonsson. This talk will focus on some analytic and algebraic properties of such a series. It turns out that in some cases, rationality is rather the exception.

MC 5403