This lecture covers various catalytic asymmetric reactions, including the activation of allylic systems, dihydroxylation using dimeric ligands, aminohydroxylation, C-H functionalization, and cycloaddition with carbenes. The instructor discusses the mechanisms, ligands, and reagents involved in these reactions, highlighting the importance of enantioselectivity and regioselectivity. The lecture also explores the use of hypervalent iodine in oxidative reactions and the synthesis of complex molecules through nitrene insertion. Additionally, it delves into the development of new models for understanding enantioselectivity and the role of different metals in catalysis.