**Date & Time:** Tuesday, February 04, 2014, 16:00-17:00.

**Venue:** Ramanujan Hall

**Title:** Anderson's Conjecture: Projective modules over monoid algebras are free - III

**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.