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Learn about skein lasagna modules in this 49-minute mathematics lecture delivered by Mike Willis from Texas A&M University and Melissa Zhang from UC Davis at ICTP Mathematics. Explore advanced concepts in knot theory and quantum topology as the speakers present their research on skein modules and their applications. Delve into the mathematical structures that arise from quantum invariants of knots and links, examining how these algebraic objects encode topological information. Gain insights into the latest developments in this specialized area of topology, building upon foundational knowledge of knot invariants and quantum groups. Discover the connections between skein relations, representation theory, and low-dimensional topology through detailed mathematical exposition and examples.
