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Explore the intricate world of mixed Hodge structures in this advanced mathematics lecture by Andrew Harder from Lehigh University. Delve into Shamoto's construction of mixed Hodge structures for Landau-Ginzburg models and their connection to mirror symmetry for Fano varieties. Examine the functorial properties of these structures, particularly in relation to decompositions of the potential function. Discover a new spectral sequence linking the mixed Hodge structures of different Landau-Ginzburg models and its relationship to the perverse Leray filtration. Gain insights into concrete applications of this spectral sequence in the field of algebraic geometry and mirror symmetry.
