+91-674-249-4082

Submitted by krishanu on 29 October, 2020 - 18:38

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.

**School of Mathematical Sciences**

NISER, PO- Bhimpur-Padanpur, Via- Jatni, District- Khurda, Odisha, India, PIN- 752050

Tel: +91-674-249-4081

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