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Explore the sewing-factorization theorem for N-graded, C2-cofinite vertex operator algebras (VOAs) in this advanced mathematics seminar from the BIMSA-Tsinghua Quantum Symmetry Seminar series. Delve into the intricate relationship between conformal block spaces and topological modular functors while examining the non-equivalence of smooth and nodal conformal block functors in logarithmic conformal field theory (CFT). Learn about cutting-edge research in mathematical physics that bridges vertex operator algebras, conformal field theory, and topological quantum field theory. Discover how the sewing-factorization theorem provides new insights into the structure of conformal blocks and their behavior under various geometric operations. Gain understanding of the technical distinctions between smooth and nodal approaches to conformal blocks, particularly in the logarithmic setting where traditional methods require careful modification. Access comprehensive materials including detailed slides and video recordings to support your study of this specialized topic in quantum symmetry and conformal field theory.
