Explore a mathematical lecture on the fixed loci of anti-symplectic involutions, delivered by Giulia Sacca from Columbia University. Delve into the intriguing relationship between Fano manifolds and hyperkähler manifolds, focusing on a program that aims to reverse the known construction process. Learn about the geometric methods for recovering Fano manifolds from hyperkähler manifolds, a collaborative effort with L. Flapan, E. Macrì, and K.O. Grady. Gain insights into this complex topic, which bridges the gap between manifolds with K3 surface-like cohomology and their hyperkähler counterparts.