This lecture discusses the concept of simultaneity in the context of special relativity. The instructor presents a scenario involving two observers in different trains, each witnessing lightning strikes at different locations. The discussion begins with the observers determining whether the events are simultaneous based on the arrival of light signals. As the trains move relative to each other, the instructor illustrates how each observer perceives the timing of the events differently. This leads to the conclusion that simultaneity is not an absolute concept but depends on the observer's reference frame. The instructor emphasizes that while two events may appear simultaneous in one frame, they may not be in another. The lecture concludes by highlighting the implications of the constancy of the speed of light, which challenges traditional notions of absolute time and simultaneity. The instructor prepares the audience for further exploration of how these concepts affect our understanding of time in future discussions.