This lecture covers various catalytic asymmetric reactions in organic chemistry, including LUMO activation, Lewis and Brønsted acids activation, catalysis via iminium formation, activation of electrophiles, formal cycloadditions with cyclopropanes, dynamic kinetic asymmetric transformation, desymmetrization, and epoxidation. The content also includes topics like dihydroxylation, aminohydroxylation, iminium catalysis, and the formation of chiral quaternary carbon centers. The lecture discusses the mechanisms, selectivity, and applications of these reactions.