惠昌常 教授学术报告
Title: Some advances in theory of good tilting modules
Speaker: Prof. Changchang XI (惠昌常)
Affiliation: Capital Normal University (首都师范大学)
Time: 18:30-19:30, Tuesday, October 18th, 2022 (UTC+8, Beijing Time)
Venue: Tencent Meeting (388-531-122)
点击链接入会：https://meeting.tencent.com/dm/AvKrKYP8b2MP
Inviter: Shuanhong WANG (王栓宏), Sen YANG (杨森)
Abstract
Recent years, the study of infinitely generated tilting modules provides different insight into tilting theory of algebras. In this talk, we consider decomposition of the derived category of the endomorphism ring of a good tilting module. In fact, we show that the kernel of the total left-derived tensor functor induced by a good tilting module is always triangle equivalent to the derived category of a symmetric subcategory of a module category. Thus we get a recollement of derived categories in the sense of Beilinson-Bernstein-Deligne. Also, 2-good tilting modules over commutative Gorenstein rings are constructed. The talk presents parts of a joint work with Hongxing Chen.
About the Speaker
惠昌常，长江学者，首都师范大学数学科学学院教授、博士生导师。在德国Bielefeld大学获博士学位，师从著名代数表示论专家C.M. Ringel教授；曾在Bielefeld大学参加德国科学联合会(DFG)重点项目“代数表示论”的研究工作。1991年回国，先后在德国、英国、比利时、匈牙利、日本、澳大利亚、墨西哥、加拿大、波兰、西班牙等国家访问和合作科研。论文发表在Adv. Math., Proc. Lond. Math. Soc., Trans. Amer. Math. Soc., Math. Z., J. Algebra等国际重要杂志上。现为J. Algebra, Arch. Math.等杂志编委。