报告题目：Derivation Lie Algebras and Singularities
报告人：左怀青 清华大学丘成桐数学中心 助理教授
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.