This volume contains the proceedings of the AMS Special Session on Fractal Geometry and Dynamical Systems, held at the Spring Eastern Virtual Sectional Meeting on April 1-2, 2023, and the virtual Conference on Functional Analysis and Fractals organized by the Indian Institute of Information Technology Allahabad (IIIT-A), India, on February 16-18, 2024. Fifty years ago, Mandelbrot created a new type of geometry called fractal. One of the novelties of this new mathematics is a systematic qualitative and quantitative approach to the concepts of irregular shapes and roughness. Galileo said that...