Modular Tensor Categories, Quantum Groups and Vertex Algebras - Lecture 4

Delve into the fourth lecture of a specialized series connecting modular tensor categories, quantum groups, and vertex algebras. Explore the logarithmic Kazhdan–Lusztig conjecture, which establishes links between quantum groups and specific vertex algebras. Build upon the foundations laid in the previous three lectures to gain a comprehensive understanding of how these complex mathematical concepts interrelate. Examine the connections between the topics covered earlier, including nonsemisimple theory in modular tensor categories, Nichols algebras in quantum groups, and the foundations of vertex algebras in conformal quantum field theory. Gain insights into advanced mathematical physics concepts and their applications in understanding quantum symmetries.