中科院数学与系统科学研究院

数学研究所

学术报告

表示论研讨班

报告人：惠昌常 教授(首都师范大学)

题  目：Derived equivalences and Milnor squares

时  间：2021.12.10（星期五），09:00-10:00

地  点：腾讯会议：571 268 596

摘  要：Derived equivalences of algebras are of importance in understanding homological properties of algebras and their related categories. In this talk, we will explain methods for constructing derived equivalences of algebras by patching derived equivalences of constitute algebras in a Milnor square. If the constitute algebras in a Milnor square are presented by quivers with relations, we get three explicit methods to get derived equivalences by gluing vertices, unifying arrows and identifying longest paths. This report is based on parts of a joint work with Wei HU.