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Explore an advanced mathematical lecture on cornered skein lasagna theory, an extension of the Morrison-Walker-Wedrich framework that transforms Khovanov-Rozansky link homology into powerful invariants of oriented 4-manifolds. Delve into this cutting-edge theory that has recently achieved breakthrough results in detecting exotic compact 4-manifolds without relying on gauge theory, as demonstrated by Ren-Willis. Learn about the speaker's novel extension to cornered 4-manifolds and discover its applications to trisections of 4-manifolds, with particular emphasis on computational approaches. Gain insights into collaborative research conducted with Slava Krushkal and Yangxiao Luo that advances our understanding of 4-manifold topology through innovative algebraic techniques. Recorded during the thematic meeting "Trisections and related topics" at the Centre International de Rencontres Mathématiques in Marseille, France, this presentation offers a comprehensive examination of one of the most exciting developments in modern topology and knot theory.
