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Dimension Theory in Commutative Algebra and Algebraic Geometry

  • 演讲者:陈雅姝(南方科技大学)

  • 时间:2023-03-03 14:50-15:30

  • 地点:理学院大楼M3009

Abstract
In this talk, we will study the Krull dimension of Noetherian local rings by using characteristic polynomials and generating sets of primary ideals, and we will use transcendence degree to characterize the dimension of integral domains that are finitely generated algebras over a field. Then we will illustrate the correspondence between algebra and geometry and apply the correspondence to study the dimension of varieties and schemes.