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This lecture explores the non-equilibrium and nonlinear optical response of two-dimensional (2D) materials, focusing on ultrafast carrier and spin dynamics in 2D semiconductors and their heterostructures. The talk reviews studies on layered materials, such as graphene and transition metal dichalcogenides (TMDs), highlighting their unique physico-chemical characteristics. The presentation delves into topics like ultrafast charge transfer, exciton dynamics, and intervalley relaxation dynamics in TMDs. Additionally, gate-tunable absorption saturation and third-harmonic generation in graphene are discussed. The lecture also covers the formation and dynamics of interlayer excitons in heterostructures of 2D materials.