BIMSA > Seminar on Algebraic, Complex Geometry and Singularities A new class of k-th local algebras of singularities and its derivations Lie algebras.
A new class of k-th local algebras of singularities and its derivations Lie algebras.
Organizer
Shing Toung Yau
Speaker
Siyong Tao
Time
Wednesday, August 23, 2023 2:30 PM - 3:30 PM
Venue
Online & 数学系理科楼B-201
Abstract
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.