Date & Time: Tuesday, January 28, 2014, 16:00-17:00.
Venue: Ramanujan Hall
Title: Anderson's Conjecture: Projective modules over monoid algebras are free - II
Speaker: Husney Parvez Sarwar, IIT Bombay
Abstract: We shall present the proof of Anderson's conjecture which is proved by Gubeladze. The result is the following: Let k be a PID and M a seminormal, commutative, cancellative and torsion-free monoid. Then every finitely generated projective module over k[M] is free. Shortly after the proof Serre conjecture by Quillen and Suslin independently, in 1978 Anderson conjectured that finitely generated projective modules over normal monoid algebras are free. In 1989, Gubeladze gave the proof using convex geometry techniques. In these two lectures, i shall present Gubeladze's geometric results and discuss how these results are used to prove the conjecture.