[2019 Intensive Lectures by Yujiro Kawamata]
Date: 2019-01-24
Speaker : Yujiro Kawamata (Univ. of Tokyo, Japan)
Abstract : I will start with the definition of a derived category of an algebraic variety. The derived category contains much essential information of the algebraic variety. Then I consider a decomposition of the derived category into simpler components called a semi-orthogonal decomposition (SOD) and explain examples. I will explain SOD’s related to the minimal model program in birational geometry. Some SOD’s are obtained by looking at so-called exceptional objects or their deformed variants called relative exceptional objects. I will explain examples of SOD’s for some singular surfaces.
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