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Explore the mathematical connections between quantum groups, vertex algebras, and geometric invariants in this distinguished lecture by Boris Feigin from Hebrew University of Jerusalem. Learn how quantum groups and vertex algebras can be utilized to produce invariants of knots and 3-dimensional manifolds, gaining insight into these fundamental mathematical structures and their applications in topology. Discover how logarithmic conformal field theories contribute to the development of interesting geometric invariants, bridging concepts from mathematical physics and geometry. Examine the theoretical foundations and practical applications of these advanced mathematical tools in understanding topological properties of mathematical objects. This public lecture is part of the CRM Distinguished Lectures in Mathematical Physics series, offering an accessible introduction to cutting-edge research at the intersection of algebra, geometry, and mathematical physics.
