Research-Dimension Theory in Commutative Algebra and Algebraic Geometry

Research

Graduate Student Colloquium

Dimension Theory in Commutative Algebra and Algebraic Geometry

Speaker: Yashu Chen (SUSTech)
Time: Mar 3, 2023, 14:50-15:30
Location: M3009, College of Science Bldg.

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.