报告一：Hochschild cohomology and its computations

摘要：We give an introduction to Hochschild cohomology. After defining this cohomology theory, I will introduce two methods to compute it, the first uses weak self-homotopies, and the second is algebraic Morse theory. I will apply these two methods to compute Hochschild cohomology of twisted group algebras, then I will talk about the deformation quantization of noncommutative Poisson structures via PBW deformations and Drinfeld Hecke algebras.

报告二：Relative singularity categories and relative defect categories

摘要：We introduced the relative defect category of an abelian category $\mathfrack{A} $ with respect to a full additive subcategory $\mathfrack{C} $ , generalizing Gorenstein defect categories of P. A. Bergh, D. Jorgensen and S. Oppermann. Under mild conditions, we show that the relative defect category of $\mathfrack{A} $ with respect to $\mathfrack{C} $ is triangle equivalent to the relative singularity category of $\mathfrack{A} $ with respect to the Gorenstein category $\mathfrack{G} (\mathfrack{C} )$. This generalizes a recent result proved by Fan Kong and Pu Zhang and independently by Yan-Hong. Bao, Xian-Neng Du and Zhi-Bin Zhao for Gorenstein defect categories, and hopefully also a result by Wen-Jing Chen, Zhong-Kui Liu and Xiao-Yan Yang for Ding-Chen defect categories. This talk is based on a joint work with Hanyang You.

报告人：周国栋 华东师范大学 教授 博士生导师

时间：2018年12月25日 15：30 - 16:20

地点：002cc白菜资讯三楼专家接待室

报告人简介：

周国栋，博士，华东师范大学副教授，博士毕业于法国亚棉大学，师从著名代数学家Alexander Zimmermann教授。主要研究领域为代数表示论与同调代数，主持过的项目有国家自然科学基金青年基金、上海市浦江人才计划项目、教育部博士点新教师基金与国家自然科学基金面上基金，其学术成果发表在 J. London Math. Soc.， Math. Z.， Trans. Amer. Math. Soc.，J.Algebra、J.Pure Appl. Alg.等期刊上。主要学术兼职有美国数学评论员与欧洲数学会评论员