Venue
SMS Conference Room (via GoogleMeet)
Speaker
Mr. Archisman Bhattacharjee
Affiliation
SMS, NISER
Title
A proof of Horrocks' Theorem
Abstract: Horrocks' Theorem is an indispensable tool to prove Quillen-Suslin Theorem, which gives a sufficient condition for finitely generated projective modules to be free. In this talk, we will talk about a version of Horrocks' Theorem which uses concepts of completable unimodular rows over a ring. First, we will prove the theorem for local rings, then generalize it using the Local-Global Principle.