Explore Lagrangian mean curvature flow through concrete examples in this lecture delivered at the International Centre for Theoretical Sciences. Learn fundamental concepts and applications of this important geometric evolution equation as part of a comprehensive program on minimal surface theory. Discover how Lagrangian submanifolds evolve under mean curvature flow and examine specific examples that illustrate key properties and behaviors of this geometric process. Gain insights into the intersection of differential geometry, partial differential equations, and symplectic geometry through detailed mathematical exposition suitable for graduate students and researchers in geometric analysis.