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Explore an advanced mathematics lecture where cellular resolutions and their applications to toric ideals are examined in depth. Delve into how stratification on lattice spans can construct cellular resolutions for a broader class of modules, including normalizations of toric ideal quotients. Connect foundational work by Bayer, Popescu, and Sturmfels on unimodular toric variety diagonal resolutions to contemporary diagonal resolutions, supported by Macaulay2 computational experiments. Presented by Lauren Cranton Heller from the University of Nebraska-Lincoln at IPAM's Computational Interactions between Algebra, Combinatorics, and Discrete Geometry Workshop, the 51-minute talk bridges theoretical foundations with modern computational approaches in algebraic geometry.
