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.
Time:
5:00pm-6:00pm
Location:
Room 215, Department of Mathematics
Description:
Geometry and Topology seminar.
Speaker: Saurav Bhaumik.
Affiliation: IIT Bombay.
Date and Time: Monday 04 November, 5:00 pm - 6:30 pm.
Venue: Room 215, Department of Mathematics.
Title: Higgs bundles and the Hitchin fibration.
Abstract: We will introduce Higgs bundles on curves, discuss the Hitchin
fibration and its fibers in terms of spectral curves.
Time:
3:30pm-5:00pm
Location:
Room 215, Department of Mathematics
Description:
Commutative Algebra seminar II.
Speaker: Tony Puthenpurakal.
Affiliation: IIT Bombay.
Date and Time: Thursday 07 November, 3:30 pm - 5:00 pm.
Venue: Room 215, Department of Mathematics.
Title: An application of triangulated categories to linkage of ideals.
Abstract: We define and give elementary properties of triangulated
categories. We also give an application of triangulated categories to
linkage theory in commutative algebra.
Time:
3:30pm-5:00pm
Location:
Room 215, Department of Mathematics
Description:
Commutative Algebra seminar III.
Speaker: Dilip Patil.
Affiliation: IISc Bengaluru.
Date and Time: Friday 08 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.