Transcendental values of power series and dynamical degrees
Holly Krieger (University of Cambridge)
22-Feb-2022, 21:30-22:30 (2 years ago)
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
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Organizers: | Edgar Costa*, Siyan Daniel Li-Huerta*, Bjorn Poonen*, David Roe*, Andrew Sutherland*, Robin Zhang*, Wei Zhang*, Shiva Chidambaram* |
*contact for this listing |
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