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Explore the intricacies of measure and smooth rigidity in lattice actions within low-dimensional spaces in this 43-minute lecture by Federico Rodriguez-Hertz. Delve into advanced mathematical concepts as the speaker examines the behavior of lattice structures and their actions in constrained dimensional settings. Gain insights into the rigidity properties of these actions from both measure-theoretic and smooth perspectives, uncovering the fundamental principles that govern their behavior. Enhance your understanding of this specialized area of mathematics and its implications for related fields of study.