In recent years, derived categories and derived equivalences have been adapted extensively to a number of subjects beyond algebraic geometry, and have become one of the dominant subjects.

• 近年来，导出范畴和导出等价广泛应用于众多学科并作为主流课题得到深入研究，产生了许多十分深刻的成果和富有挑战性的问题，反映了当今数学各学科互相渗透互相促进的发展趋势。