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Colleen Robles : The motivation behind this semesters working seminar on the Hwang-Mok program.

I will give a brief introduction to Hwang and Mok's program to study the geometry of uniruled projective manifolds via their varieties of minimal rational tangents (VMRT). The working seminar is motivated by the idea that there may be an analogous program to study variations of Hodge structure via the characteristic varieties introduced by Sheng and Zuo. As evidence for the proposed program's viability I will show how characteristic varieties may be used to characterize the families of Calabi-Yau manifolds that solve Gross's geometric realization problem for Hermitian symmetric domains.

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