Random Algebraic Dynamics in Complex Dimension 2
Explore a 43-minute conference talk on random algebraic dynamics in complex dimension 2, presented by Romain Dujardin for the International Mathematical Union. Delve into recent findings on the dynamics of automorphism groups in real and complex projective surfaces, covering topics such as stationary and invariant measures, orbit closures, and finite orbits. Examine basic examples, open problems, and various techniques from complex and algebraic geometry, as well as arithmetic random, holomorphic, and dynamical systems. Learn about properties of non-elementary groups, linear examples like Abelian and Kummer surfaces, and groups generated by involutions. Investigate Wehler's (2.2.2) surfaces, their propositions, and main results. Study the classification of automorphisms, including elliptic, parabolic, and laxodromic maps. Understand finite orbits for non-elementary groups, stationary and invariant measures, and proofs of the stiffness theorem and equidistribution. Access accompanying slides for visual support of the presented concepts. Read more