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Commutative Algebra Seminar in Beijing
A Betti stratification of Apolar ideals to Quaternary quartics, I
A Betti stratification of Apolar ideals to Quaternary quartics, I
Organizers
Ming Fang
, Manolis Tsakiris
,
Bei Hui Yuan
Speaker
Time
Saturday, March 9, 2024 9:30 AM - 11:30 AM
Venue
AMSS-N208
Abstract
We are going to have two lectures on this topic. In the first lecture, I am going to talk about two motivating problems: power sum decomposition and structure of arithmetic Artinian Gorenstein rings. These problems are related by duality, which we call apolarity. To analyze these problems, we are going to introduce some invariants and techniques, as well as geometry intuition behind them.
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.