Dive into the world of lattice-based cryptography with this comprehensive conference talk from Asiacrypt 2022. Explore key concepts such as lattices, hierarchies, and psychotomic fields while gaining insights into quantum decomposition and experimental evidence. Learn about conservation, reduction, and cure factorization techniques, and understand their applications in optimization problems. Engage with the speaker's analysis, recall important points, and grasp the optimization framework through practical examples. Perfect for cryptography enthusiasts and researchers looking to deepen their understanding of lattice algorithms and cryptanalysis.