Special classes of rings in derived commutative algebra

Abstract: The classes of regular, Gorenstein and Cohen-Macaulay rings are among the most important classes of rings in commutative algebra and algebraic geometry. In this talk we recall the definitions and basic properties of these classes, and then explain how to generalize each of them to derived commutative algebra, in the context of commutative differential graded algebras. We further explain how each of these generalizations arise naturally in various algebraic geometry contexts and discuss some applications.

Mathematics

Audience: advanced learners

IIT Bombay Virtual Commutative Algebra Seminar

Series comments: Note: To get meeting ID,fill the Google form on the web-site of the series sites.google.com/view/virtual-comm-algebra-seminar/home