报告人：张海诚 副教授（南京师范大学）

报告时间：2023年7月22日14：00-14：50

报告地点：数学楼108

报告题目：Periodic derived Hall algebras of hereditary abelian categories

报告摘要：Let m be a positive integer and D_m(A) be the m-periodic derived category of a finitary hereditary abelian category A. Applying the derived Hall numbers of the bounded derived category D^b(A), we define an m-periodic extended derived Hall algebra DH_m^e(A) for D_m(A), and use it to give a global, unified and explicit characterization for the algebra structure of Bridgeland's Hall algebra (semi-derived Ringel-Hall algebra) of periodic complexes. In particular, the 2-periodic extended derived Hall algebra is proved to be isomorphic to the Drinfeld double Hall algebra of A. Finally, for any odd positive integer m, we relate the Hall algebra DH_m^e(A) with the odd periodic derived Hall algebra of A defined by Xu-Chen.

个人简介：张海诚，南京师范大学002cc白菜资讯。研究领域是代数表示论，主要从事Hall代数，量子群，丛代数等相关问题的研究。主持完成国家自然科学基金青年项目1项，目前主持国家自然科学基金面上项目1项。 在 Selecta Math.(N.S.), Int. Math. Res. Not. IMRN, Math. Z., J. Algebra等国际著名学术期刊上发表论文多篇。