Speaker：Prof.  Changchang Xi

                        Capital Normal University

Title:  Semi-orthogonal decompositions of derived categories

       Time：23 May 2019,16:30

Location：Conference Room 106 at Experiment Building at Haiyun Campus

Abstract:   Semi-orthogonal decompositions of the derived categories of abelian categories are used in algebraic geometry to study Fourier-Mukai transforms on derived categories of coherent sheaves, in homotopy theory to get $t$-structures of triangulated categories. However, a fundamental question still remains: How to get such  decompositions. In this talk, we shall give methods to construct such decompositions, then apply them to localizing subcategories, homological ring epimorphisms, commutative noetherian rings non-singular rings.