报告承办单位：数学与统计学院

报告题目：Derived equivalences constructed by Milnor patching

报告人姓名：惠昌常

报告人所在单位：首都师范大学

报告人职称/职务及学术头衔：教授/教育部长江学者特聘教授

报告时间：2026年6月26日下午14:45-15:45

报告地点：云塘校区理科楼A410

邀请人：周潘岳

报告摘要：Derived categories have played an important role in many aspects of mathematica. One of the fundamental problems on derived equivalences of algebras is how to construct such  equivalences. Though abstract general theory was given by Rickard's Morita theory of derived equivalences, the problem still remains practically to be understood. In this talk, we provide methods for constructing derived equivalences by Milnor patching. It turns out that if algebras are given by quivers with relations, we can obtain derived equivalence of algebras by gluing vertices, unifying arrows and identifying socle elements. This talk presents parts of a joint work with W. Hu  in J. Noncommutative Geometry 19 (3), 1103-1137 (2025).

报告人简介：惠昌常，首都师范大学特聘教授、博士生导师，教育部长江学者特聘教授。于联邦德国Bielefeld大学获得博士学位，长期致力于代数表示论、同调代数、导出范畴与代数K-理论等领域的研究，取得了突出的学术成果，在Adv. Math.，J. Reine Angew. Math.，Proc. London Math. Soc.，Trans. Amer. Math. Soc.，Math. Ann.，Comm. Math. Phys.，Sci. China Math.等国际重要数学期刊发表论文90余篇。曾以第一完成人获教育部科技进步二等奖，并荣获德国“年轻杰出学者洪堡奖”。多次受邀在国际代数学术会议上作大会报告，主持和参与多项国家自然科学基金重点项目。现任《Journal of Algebra》《Archiv der Mathematik》等国际知名数学期刊编委。