This program brings together mathematicians and physicists to explore the diverse applications and interconnections of renormalization in dynamical systems. Originally a key tool in Quantum Field Theory and Statistical Mechanics for understanding phase transitions and critical phenomena, renormalization group ideas have since been applied to dynamics, particularly in the study of universality and small-scale structures. The program aims to foster a unified approach to renormalization, examining its manifestations across various fields. It will delve into conformal aspects, including the small-scale properties of conformal dynamical systems and related geometric problems, as well as applications in areas like quasi-periodic Schrödinger operators. Furthermore, the program will investigate renormalization in physical contexts such as Quantum Field Theory, fluid dynamics, and statistical mechanics, focusing on the underlying stochastic mechanisms that drive statistical scaling invariance.