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Explore the fascinating world of maximally inflected planar curves in this engaging lecture by Thomas Brazelton from Harvard University. Delve into the intricacies of enumerative geometry as the speaker presents cutting-edge research and insights on this complex mathematical topic. Gain a deeper understanding of the properties and applications of these unique curves, and discover how they relate to broader concepts in geometry and topology. Suitable for advanced mathematics students and researchers, this hour-long talk offers a comprehensive overview of current developments in the field, providing valuable knowledge for those interested in pushing the boundaries of mathematical understanding.