Omkar Javadekar, IIT Bombay

Description

Commutative Algebra Seminar

Date

Tuesday, 12 Mar, 4 pm—5 pm

Venue

Room 215

Host

Tony J. Puthenpurakal

speaker

Omkar Javadekar 

Affiliation

IIT Bombay

Title

A theorem of Bruns on free resolutions of ideals generated by three elements-II

Abstract

 

 

Let R be a commutative Noetherian ring. In 1972, P. Cohn proved that for every finitely generated R-module M, there exists a three-generated ideal I of R such that pdim(M)=pdim(R/I). In this series of two talks, we will see a generalization of Cohn's result due to W. Bruns. We will show that "every" finite free resolution over R is a free resolution of a three-generated ideal of R. 

Description
Room 215, Mathematics Department
URL
Room 215, Mathematics Department
Date
Tue, March 12, 2024
Start Time
4:00pm-5:00pm IST
Duration
1 hour
Priority
5-Medium
Access
Public
Created by
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Updated
Mon, March 11, 2024 10:26am IST