Explore the fascinating intersection of cluster algebras and mirror symmetry in this comprehensive lecture delivered by P. Hacking. Delve into the fundamental concepts and intricate relationships between these two mathematical fields. Gain insights into the latest developments and applications of cluster algebras in the context of mirror symmetry. Discover how these powerful mathematical tools are revolutionizing our understanding of algebraic geometry and theoretical physics. Engage with complex mathematical ideas presented in an accessible manner, suitable for graduate students and researchers in mathematics and related disciplines.