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Online conference on the occasion of 60th birthdays of Valeriy Bardakov and Andrei Vesnin The online meeting will celebrate Prof. Valeriy Bardakov and Prof. Andrei Vesnin turning 60 this year. The meeting will focus on interactions between topology, geometry and algebra, specifically, from the point of view of low dimensional topology, the topics in which both Valeriy and Andrei have profound contributions. Key topics include but are not limited to the following: • Geometric structures on manifolds and orbifolds • Classical and virtual knots • Algebraic structures in knot theory • Applications of the theory of 3-manifolds