Academic Report
Title: Derivation Lie Algebras and SingularitiesReporter: ZUO Huaiqing(Qiu Chengtong mathematics center of Tsinghua University, Assistant Professor )
Time: May 3, 2018(Thursday) PM 16:20-17:00
Location: 412 room, Graduate BuildingContact: XU Min (tel: 84708351-8141)
Abstract: Let R be a positively graded Artinian algebra. The non-existence of negative weight derivations on R has been open for a long time. Alexsandrov conjectured that there is no negative weight derivation when R is a complete intersection algebra and Yau conjectured there is no negative weight derivation on R when R is the moduli algebra of a weighted homogeneous hypersurface singularity. On the other hand, Wahl conjectured that non-existence of negative weight derivations is still true for positive dimensional positively graded R. We also found that the jump of dimension of derivation Lie algebra of moduli algebra in the deformation of an isolated hypersurfaces singularity is related with the nil-polynomial associated to the singularity. In this talk we will present our recent progress on these problems. Part of this work is joint with S. S.-T. Yau and H. Chen.
The brief introduction to the reporter: Zuo Huaiqing is currently an assistant professor and doctoral tutor at Qiu Chengtong mathematics center, Tsinghua University. He graduated from Illinois University, Chicago, and received his doctorate degree. He has made a series of important achievements in the theory of algebraic geometry singularity and published more than 30 papers in international famous journals successively. After returning to work, he chaired two National Natural Science Funds (youth and surface projects) to participate in a key project of the National Natural Science Foundation. He made several reports at important international academic conferences, and was specially invited to make a 45 minute report to the first annual conference of the world Chinese mathematician alliance in 2017.
