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Lecture
Knots: from reality to mathematics and back
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Related lectures (26)
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Affine Plane Curves
Covers the study of affine plane curves and their properties, including the concept of multiplicity and its applications.
The Quadratic Linking Degree
Introduces the quadratic linking degree in motivic knot theory, covering knot theory basics, algebraic geometry, and intersection theory.
Computational Exploration of Multistable Elastic Knots
Explores multistable elastic knots, mathematical knots, simulation, shape space, knot retrieval, jumping knots, and applications.
Wood Physical Properties: Strength and Moisture Content
Explores wood physical properties, failure types, strength comparisons, moisture content, and practical applications in the sport sector.
Analysis of Lattices: Knots and Equilibrium
Covers the analysis of lattices focusing on knots, equilibrium equations, and normal forces calculation.
Knot Theory: The Quadratic Linking Degree
Covers the quadratic linking degree in knot theory, exploring its definitions, properties, and significance in algebraic geometry.
Telescope Construction
Covers the construction of a telescope using cylinders on circles and the calculation of fundamental groups for various spaces.
X-ray Tomography: Principles and Applications
Explores x-ray tomography principles, including generation, interaction with matter, detection methods, and practical examples.
Molecular Topology: Catenanes and Rotaxanes
Explores the design and synthesis of interlocked molecules like catenanes and rotaxanes, along with the structural and symbolic significance of knots and Borromean rings.
Kirchhoff Rods: Kinematics and Twisted Solutions
Explores the kinematics of 3D structures and twisted solutions in rod mechanics, including the mechanics of knots.