DESCRIPTION
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Knot theory is an actively developing branch of geometry and topology. Modern knot theory includes the study of knots in thickened surfaces and other three-dimensional manifolds, notoids, and knotted graphs.
It is characterized by a combination of methods of three-dimensional topology, algebraic topology, group theory, representation theory, and non-Euclidean geometry.
The purpose of the conference is to present new results and discuss open problems related to current trends in knot theory.
Main topics:
o Properties and invariants of classical and virtual knots
o Geometric structures on three-dimensional manifolds
o Braid groups and quandles, Yang-Baxter equations
o Applications of knot theory
The conference will be the anniversary, the tenth, in the ongoing series of China-Russia conferences on knot theory and related topics, which are held alternately in China and Russia.