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Explore the fourth lecture in the Women and Mathematics: Terng Lecture Course series, delivered by Tatiana Toro from the University of Washington. Delve into the complex topic of uniform rectifiability through the lens of perimeter minimization. Learn about key concepts such as compactness statements, unit vectors, unit normals, and the intricacies of perimeter minimization proofs. Gain insights into the mathematical class under discussion and understand the punchline of the lecture. The presentation concludes with a Q&A session and a graphical representation of the concepts covered.