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Watch a one-hour mathematics lecture from Harvard CMSA's Math Science series honoring Raoul Bott, where Professor Andrew Neitzke explores the applications of abelianization in quantum topology. Delve into the connections between perturbative Chern-Simons invariants, skein algebras, and conformal blocks, understanding how abelianization provides a unified framework for understanding these concepts. Learn about dilogarithmic formulas for Chern-Simons invariants, vertex models for computing quantum invariants of links, and iterated-fusion constructions of conformal blocks for the Virasoro algebra, while discovering potential new extensions in this developing field of mathematical research.
