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.

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.

Description

Room 215, Department of Mathematics

Date

Mon, November 4, 2019

Start Time

3:30pm-5:00pm IST

Duration

1 hour 30 minutes

Priority

5-Medium

Access

Public

Created by

DEFAULT ADMINISTRATOR

Updated

Mon, November 4, 2019 10:07am IST