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Explore the intricacies of phase tropical hypersurfaces and their relation to complex hypersurfaces in this hour-long lecture by Gabriel Kerr from Kansas State University. Delve into the topological aspects of these manifolds and their connection to tropical hypersurfaces, drawing parallels to torus fibrations and T-duality. Examine combinatorial analogs of Lagrangian spheres, thimbles, and intersections, and investigate their relationship to mirror matrix factorization categories. Gain insights into this advanced mathematical topic and its applications in complex geometry and mirror symmetry.
