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Invariants of a hypersurface singularity by Waring decomposition

组织者

丘成栋

演讲者

袁北彗

时间

2024年11月08日 20:00 至 21:00

地点

Online

摘要

We consider analytic invariants a hypersurface singularity given by the power sum decomposition of its tangent cone. Classification by the rank of Hessian matrices works for singularities with order 2. Our method can be viewed as a generalization of this method to the cases when the singularity has higher orders. Those invariants provide necessary conditions for contact equivalence.

演讲者介绍

Beihui Yuan gained her Ph.D. degree from Cornell University in 2021. She has joined BIMSA in 2023. Her current research interests include application of commutative algebra in pure and applied mathematics problems.