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A new class of k-th local algebras of singularities and its derivations Lie algebras.

组织者

丘成栋

演讲者

陶斯咏

时间

2023年08月23日 14:30 至 15:30

地点

Online & 数学系理科楼B-201

摘要

I will present some of my recent work on a series of new invariants ($k$-th order Tjurina number) for isolated weighted homogenuous hypersurface singularities $V=(V(f),m{0})subseteq(mathbb(C)^n,m{0})$ and prove that the derivation Lie algebras $mathcal{L}_k(V)$ of $k$-th order Tjurina algebras $A_k(V)$ are non-negatively graded when $nleq 3$ and $mathrm{mult}(f)$ are large enough.