BIMSA > Seminar on Algebraic, Complex Geometry and Singularities Algebraic methods on splines, Part 1: a brief introduction to the classical setting
Algebraic methods on splines, Part 1: a brief introduction to the classical setting
Organizer
Shing Toung Yau
Speaker
Bei Hui Yuan
Time
Wednesday, September 6, 2023 2:30 PM - 3:30 PM
Venue
Online & 数学系理科楼B-201
Abstract
This is the first talk in a series on applications of commutative algebra and algebraic geometry on spline theory. Splines are piecewise polynomials, which play a key role in approximation theory. The set of splines has rich algebraic structures. This time, I am going to briefly recall the classical algebraic framework of splines. In particular, I am going to talk about the cofactor criterion, the dimension counting problem and Billera-Schenck-Stillman complex.
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.