Explore the concept of generalized symmetries and their gauging in two-dimensional conformal field theories (2d CFTs) in this comprehensive lecture. Begin with a brief review of 2d CFT fundamentals before delving into the introduction of generalized, non-invertible symmetries through explicit CFT observables. Discover how these symmetries are formalized using fusion categories and learn the process of implementing gauging for such symmetries. Examine the physical consequences arising from these mathematical structures. Presented by Yifan Wang from New York University, this 1 hour and 34 minute talk offers valuable insights for researchers and students in the field of theoretical physics and mathematics.