Transcendental values of power series and dynamical degrees

Abstract: I will explain the construction (joint with Bell, Diller, and Jonsson) of a birational map of projective 3-space with transcendental dynamical degree. This number is a measure of algebraic complexity of the iterates of a rational map, and was previously conjectured to be algebraic for all birational maps. Our proof includes a more general statement on transcendental values of certain power series, using techniques similar to those of Adamczewski-Bugeaud.

algebraic geometrynumber theory

Audience: researchers in the topic

MIT number theory seminar

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