A Two-Variable Series for Knot Complements - Recent Developments and Applications

Explore recent developments and applications of two-variable series for knot complements in this conference talk delivered by Sergei Gukov at the ICBS2025 conference hosted by BIMSA. Delve into advanced mathematical concepts in knot theory and topology as Gukov presents cutting-edge research on the mathematical structures that arise when studying the spaces obtained by removing knots from three-dimensional manifolds. Gain insights into how two-variable series provide powerful tools for understanding the geometric and algebraic properties of these complement spaces, and discover the latest applications of this mathematical framework in contemporary research. Learn about the theoretical foundations and practical implications of this work in the broader context of low-dimensional topology and mathematical physics.