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Explore the fascinating world of virtual knot theory and its applications in this 55-minute lecture by Vassily Manturov. Delve into picture valued invariants, groups, and their relations as you follow the trajectory from general position to number conservation law, homotopy, and Gaussian braids. Examine problems in various groups and uncover the intricacies of knots while gaining insights into this complex mathematical field.
Syllabus
Introduction
Outline
Groups
Relations
Trajectory
General position
Number conservation law
Homotopy
Gaussian braids
Knots
Problems in various groups
Taught by
QuantumTopology