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Derived categories and exceptional collections

Dmitrii Pirozhkov, Columbia University
Tuesday, November 26, 2019 - 1:30pm to 2:30pm
PDL C-38

I will explain what a semiorthogonal decomposition of a triangulated category is, and indicate some applications of this concept. Some particularly nice decompositions come from exceptional objects and exceptional collections. I will give examples of exceptional collections. If time permits, I will also touch upon the classification result for exceptional collections on P^2 by Gorodentsev and Rudakov.

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