Algebraic, Complex, and Arithmetic Dynamics
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Beschreibung
This book is of a series of three Simons Symposia in 2019, 2022, and 2024, that focused on the interactions between three types of dynamics—algebraic, complex, and arithmetic—and their connections to the closely related areas of algebraic, complex, and arithmetic geometry. Dynamical systems play a key role both in pure mathematics and its applications. These meetings brought experts together from across these fields for discussions on the most significant recent developments and directions for further research.
This book grew out of a series of three Simons Symposia in 2019, 2022, and 2024, that focused on the interactions between three types of dynamics—algebraic, complex, and arithmetic—and their connections to the closely related areas of algebraic, complex, and arithmetic geometry. Dynamical systems play a key role both in pure mathematics and its applications. These meetings brought experts together from across these fields for discussions on the most significant recent developments and directions for further research.
Focuses on the interplay between algebraic, complex, and arithmetic dynamics Illustrates key open questions and various proof techniques from these areas of mathematics Compiles research from three Simons Symposia in 2019, 2022, and 2024
Autor*in
Laura DeMarco
Themen in »Algebraic, Complex, and Arithmetic Dynamics«
complex dynamics algebraic dynamics arithmetic dynamics dynamical degrees arithmetics degrees canonical heights Kawaguchi-Silverman conjecture Mordell-Lang conjecture minimal model program surface automorphisms automorphism groups stationary measures affine surfaces holomorphic motions green currents