News & Events

Seminar

Date/Time: 
Thursday, November 5, 2020 - 14:30 to 15:30
Venue: 
SMS Conference Room (via GoogleMeet)
Speaker: 
Mr. Archisman Bhattacharjee
Affiliation: 
SMS, NISER
Title: 
Unimodular rows and its uses to prove Quillen–Suslin theorem

Abstract: In the first half of the talk we define unimodular rows over a ring R and see some of its basic properties. The completability of such unimodular rows can be viewed in terms of some special multiplicative subgroups of the matrix ring over R. In the second half, we define projective modules. Free modules are projective. In 1976 Quillen-Suslin gave a sufficient condition under which the converse is true. The completability of unimodular rows over certain polynomial rings plays an important role to show the fact that finitely generated projective modules over such ring are free. 

Contact us

School of Mathematical Sciences

NISERPO- Bhimpur-PadanpurVia- Jatni, District- Khurda, Odisha, India, PIN- 752050

Tel: +91-674-249-4081

Corporate Site - This is a contributing Drupal Theme
Design by WeebPal.