报告题目：非交换奇点解消(Noncommutative quasi-resolutions of singularities)
报告时间：2019年4月23日9：00—11:00，
2019年4月25日9：00—11:00
报告地点：理科实验中心210室
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.