复旦大学秦晓珊博士学术报告

发布者:张栋邦发布时间:2019-04-16浏览次数:1033



报告题目:非交换奇点解消(Noncommutative quasi-resolutions of singularities)

报告时间:201942390011:00

201942590011:00

报告地点:理科实验中心210

报告人:秦晓珊博士(复旦大学)

报告摘要:The notion of a noncommutative quasi-resolution is introduced fora noncommutative noetherian algebra with singularities, even for a non-CohenMacaulay algebra. If A is a commutative normal Gorenstein domain, then anoncommutative quasi-resolution of A naturally produces a noncommutativecrepant resolution (NCCR) of A in the sense of Van den Bergh, and vice versa.Under some mild hypotheses, I will talk the following results:

(1) in dimension two, all noncommutative quasi-resolutions of a given noncommutative algebra are Morita equivalent;

(2) in dimension three, all noncommutative quasi-resolutions of a given noncommutative algebra are derived equivalent.
These assertions generalize important results of Van den Bergh, Iyama-Reitenand Iyama-Wemyss in the commutative and central-finite cases.












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