Counterexamples to Eremenko's Conjecture in Transcendental Dynamics

Explore a groundbreaking lecture on transcendental dynamics that challenges Eremenko's conjecture. Delve into the complex world of escaping sets for entire functions, examining their topological properties and the recent developments that have reshaped our understanding. Learn about the surprising discovery of bounded components in escaping sets, including singleton cases, and understand how this finding contradicts long-held beliefs in the field. Gain insights into the construction that proves every non-empty, full, and connected compact set can be a component of an escaping set for some transcendental entire function. Enhance your knowledge of complex analysis and dynamical systems through this in-depth exploration of cutting-edge research in mathematical theory.

David Martí-Pete (University of Liverpool)