报告名称：Classifying thick subcategories over a Koszul complex via the curved BGG correspondence

报告专家：刘剑

专家所在单位：华中师范大学

报告时间：2026.03.20，10:30—11:30

报告地点:数统学院201

专家简介： 刘剑，华中师范大学英国365集团副研究员，博士毕业于中国科学技术大学，曾在上海交通大学从事博士后研究，并访问美国犹他大学。主要从事交换代数与三角范畴理论的研究。已在 J. Lond. Math. Soc., Nagoya Math. J., Publ. Res. Inst. Math. Sci., Pac. J. Math., J. Pure Appl. Algebra 等国际数学期刊发表论文多篇，主持国家自然科学基金项目1项。

报告摘要：In this work we classify the thick subcategories of the bounded derived category of dg modules over a Koszul complex on any list of elements in a regular ring. This simultaneously recovers a theorem of Stevenson when the list of elements is a regular sequence and the classification of thick subcategories for an exterior algebra over a field (via the BGG correspondence). One of the major ingredients is a classification of thick tensor submodules of perfect curved dg modules over a commutative noetherian graded ring concentrated in even degrees, recovering a theorem of Hopkins and Neeman. We give several consequences of the classification result over a Koszul complex, one being that the lattice of thick subcategories of the bounded derived category is fixed by Grothendieck duality. This is a joint work with Josh Pollitz.