BIMSA > Seminar on Algebraic, Complex Geometry and Singularities Invariants of a hypersurface singularity by Waring decomposition
Invariants of a hypersurface singularity by Waring decomposition
Organizer
Shing Toung Yau
Speaker
Bei Hui Yuan
Time
Friday, November 8, 2024 8:00 PM - 9:00 PM
Venue
Online
Abstract
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.
Speaker Intro
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.