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Derived categories and semiorthogonal decompositions of projective varieties

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Fei Xie
MPIM/The University of Edinburgh
Thu, 07/12/2023 - 15:00 - 16:00
MPIM Lecture Hall
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Bounded derived categories of coherent sheaves play a crucial role in the study of the geometry of projective varieties. Their semiorthogonal decompositions build connections to other varieties and reflect many properties such as singularity and rationality. I will talk about the motivation to study these structures, illustrate the important examples of Bondal-Orlov and Burban, and report on my work about smooth complete intersections of three quadrics and nodal quintic del Pezzo threefolds that generalize their examples.

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