Complexity and Invariants of Knot Diagrams, Curves, and Surfaces

Explore the intricate world of knot theory and topology in this 56-minute lecture by Tahl Nowik. Delve into the complexity and invariants of knot diagrams, curves, and surfaces, gaining insights into fundamental concepts and advanced techniques in the field. Examine the mathematical properties that define these structures and learn how to analyze their complexity using various invariants. Discover the connections between knot diagrams, curves, and surfaces, and understand their significance in both pure mathematics and practical applications.