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Multiplicities in Commutative Algebra: Past, Present, and Future

Commutative Algebra and its Interaction with Algebraic Geometry (Notre Dame) May 22, 2023 - June 02, 2023

May 26, 2023 (02:30 PM PDT - 03:30 PM PDT)
Speaker(s): Jonathan Montaño (Arizona State University)
Video

Multiplicities In Commutative Algebra: Past, Present, And Future

Abstract

Multiplicities of algebras have their roots in intersection theory in the first half of the 20th century with the work of several authors including Hilbert, Noether, and Van der Waerden. In the 1950s developments by Samuel, Serre, and Rees brought multiplicities to the interest of commutative algebraists. Since then multiplicities has become a very active research theme in commutative algebra with connections with other fields such as algebraic combinatorics, convex geometry, and singularity theory. In this talk I will survey the history and some results in this topic, and will include some open problems along the way.

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Multiplicities In Commutative Algebra: Past, Present, And Future

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