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DTSTART;TZID=America/New_York:20210907T093000
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DTSTAMP:20260706T031959
CREATED:20240213T112149Z
LAST-MODIFIED:20240304T105626Z
UID:10002492-1631007000-1631010600@cmsa.fas.harvard.edu
SUMMARY:Derived categories of nodal quintic del Pezzo threefolds
DESCRIPTION:Abstract: Conifold transitions are important algebraic geometric constructions that have been of special interests in mirror symmetry\, transforming Calabi-Yau 3-folds between A- and B-models. In this talk\, I will discuss the change of the quintic del Pezzo 3-fold (Fano 3-fold of index 2 and degree 5) under the conifold transition at the level of the bounded derived category of coherent sheaves. The nodal quintic del Pezzo 3-fold X has at most 3 nodes. I will construct a semiorthogonal decomposition for D^b(X) and in the case of 1-nodal X\, detail the change of derived categories from its smoothing to its small resolution.
URL:https://cmsa.fas.harvard.edu/event/derived-categories-of-nodal-quintic-del-pezzo-threefolds/
LOCATION:MA
CATEGORIES:Algebraic Geometry in String Theory Seminar
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