Topology and Related Topics Seminar

Date

Tuesday, 5 March  2024, 11:30-12:30 pm

Venue

Room 215

Host

 Rekha Santhanam

speaker

Sahin Mandal

Affiliation

IIT Bombay 

Title

Quillen Q-construction 

Abstract

In the second talk, we will define higher algebraic k theory using Quillen’s Q construction. 

Commutative Algebra Seminar

Date

Tuesday, 05 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

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 pd(M)=pd(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 3-generated ideal of R. 

Algebraic Groups Seminar

Date

Tuesday, March 5, 2024, 4 pm

Venue

Ramanujan Hall

Host

Shripad M. Garge

speakers

Shripad M. Garge

Affiliation

IIT Bombay, Mumbai

Title

Semi-simple automorphisms

Abstract

We study some inner automorphisms of algebraic groups.