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Learn about infinitesimal methods in mixed Hodge theory through a 57-minute lecture that explores the fundamental concepts and applications of infinitesimal variations of Hodge structures. Discover their mixed counterparts and examine two key invariants, with special focus on pairs (X,Y) where X represents a Fano 3-fold and Y an anticanonical surface. Explore a Torelli type theorem for general pairs involving cubic threefolds, presented as collaborative research with M. Green and P. Griffiths. Gain insights into advanced mathematical concepts through examples and practical applications in this specialized mathematical discourse from the University of Miami.
