Document Type
Lecture
Publication Date
11-5-2010
Abstract
Many algebraic and numerical ideas have been introduced in order to obtain information about sets of points in projective space. In particular, the Hilbert function and graded Betti numbers have played central roles in many exciting problems. These tools were introduced by David Hilbert in his work in invariant theory and have been shown to encode important geometric and algebraic data. Many people have tried to characterize the Hilbert functions and graded Betti numbers for a variety of families of sets of points. In this talk we'll investigate some of the developments of these characterizations awhile focusing mainly on the Hilbert.
Relational Format
presentation
Recommended Citation
Cooper, Susan, "Powerful Invariants of Points" (2010). Colloquium. 39.
https://egrove.olemiss.edu/math_colloquium/39
