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Hilbert Functions of Artinian Local Complete Intersections

Connections Workshop: Commutative Algebra January 18, 2024 - January 19, 2024

January 19, 2024 (03:30 PM PST - 04:30 PM PST)
Speaker(s): Shreedevi Masuti (Indian Institute of Technology Dharwad)
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Video

Hilbert Functions of Artinian Local Complete Intersections

Abstract

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.

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Hilbert Functions of Artinian Local Complete Intersections

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