From the Kauffman and Dubrovnik Polynomials to Cubic Skein Modules and Beyond

From the Kauffman and Dubrovnik Polynomials to Cubic Skein Modules and Beyond

Explore the evolution of skein theory in this 53-minute lecture by Józef Przytycki from George Washington University. Delve into the rich connections between skein modules and various mathematical and physical disciplines, including algebraic geometry, hyperbolic geometry, Topological Quantum Field Theories (TQFT), and statistical mechanics. Discover the potential of cubic skein modules, a largely unexplored area with more parameters than linear and quadratic cases. Learn about the joint work with Mathathoners VIII, which aims to uncover new insights in this fascinating field of mathematics.