Date & Time: July 29, 2013, 15:30-16:30.
Venue: Ramanujan Hall
Title: Injective Modules and Matlis Duality I
Speaker: Ananthnarayan Hariharan, IIT Bombay
Abstract:In the study of injective modules over Noetherian local rings, the work of Matlis shows that it is enough to study injective hulls of the residue fields. This study leads is to a duality between Artinian modules over a Noetherian ring and Noetherian modules over its completion, called Matlis duality. In this series of talks, we will begin with a quick review injective modules and injective hulls over a commutative ring. We will then proceed to the study of indecomposable injective modules over a Noetherian local ring, finishing with Matlis duality.