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Explore Schmid's proof of the nilpotent orbit theorem and discover a novel approach for polarized complex variations of Hodge structure in this 1-hour 8-minute lecture by Christian Schnell from SUNY, Stony Brook. Delve into the intricacies of the theorem's original proof before examining an alternative argument that addresses cases where local monodromy is not quasi-unipotent. Gain insights into advanced mathematical concepts and their applications in complex geometry and Hodge theory.