Dilip P Patil, IISc Bangalore
Description
Commutative Algebra Seminars
Speaker: Dilip Patil.
Affiliation: IISc, Bangalore.
Seminar I - Date and Time: Tuesday 13 August, 2:00 pm - 3:30 pm.
Venue: Room 215, Department of Mathematics.
Title: The Cohen-Structure Theorems.
Abstract: The purpose of these two lectures is to provide the proof of
Cohen’s structure theorem for complete local rings (which Cohen proved in
his PhD thesis 1942, Johns Hopkins University under the guidance of Oscar
Zariski). In these lecture we deal with the equicharacteristic case. We
give a modern and concise treatment by using the notion of formal
smoothness which was introduced by Grothendieck in 1964 in EGA Chapter IV.
It is closely connected with the differentials and throws new light to the
theory of regular local rings and used in proving Cohen’s structure
theorem of complete local rings.
Description
Room No. 215 Department of Mathematics
Date
Tue, August 13, 2019
Start Time
2:00pm-3:30pm IST
Duration
1 hour 30 minutes
Created by
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Updated
Mon, August 12, 2019 6:51pm IST