AbstractMotivated from the categorical Torelli theorems, we introduce two types of infinitesimal categorical problems, connecting infinitesimal Torelli problems with a commutative diagram. Our constructions are general, and the main examples in this talk are nontrivial components of derived categories of Fano 3-folds. The infinitesimal categorical Torelli theorems for Fano 3-folds are summarize...
AbstractIn the second lecture I will focus on the (strict) Henzelization of a local ring, as well as its connection with valuation theory and {\'e}tale topology
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