Description
Commutative Algebra seminar I.
Speaker: Dilip Patil.
Affiliation: IISc Bengaluru.
Date and Time: Monday 04 November, 3:30 pm - 5:00 pm.
Venue: Room 215, Department of Mathematics.
Title: Module of Kahler Differentials, smooth morphisms, Cohen Structure
Theorems.
Abstract:
(During the week 03 Nov – 08 Nov, 2019) We continue to study smooth morphisms. The
purpose of these two lectures is :
(1) Definitions and Basic properties of the Module of Käher differentials.
(2) Prove a criterion for when a quotient of a formally smooth algebra is again formally
smooth.
(3) Prove a characterisation of when a morphism is smooth called the J a c o b i a n c r i -
t e r i o n.
This is a preparation for the proof of Cohen’s structure theorem for complete local rings in
the inequicharacteritic case.