Hilbert Functions of Artinian Local Complete Intersections
Connections Workshop: Commutative Algebra January 18, 2024 - January 19, 2024
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Tags/Keywords
Hilbert-Samuel function
associated graded ring
Rees algebra
Artinian Gorenstein algebras
Hilbert Functions of Artinian Local Complete Intersections
Classification of Hilbert functions of Artinian algebras with additional properties, like Gorenstein or complete intersections, plays an important role in singularity theory and in algebraic geometry. The sequences that occur as the Hilbert functions of standard graded complete intersections are well understood classically thanks to Macaulay and Stanley. Very little is known in the local case except in codimension two. In this talk we will discuss the Hilbert functions of local complete intersections.
Hilbert Functions of Artinian Local Complete Intersections
Please report video problems to itsupport@slmath.org.
See more of our Streaming videos on our main VMath Videos page.