Date & Time: Tuesday, April 01, 2014, 16:00-17:00.
Venue: Ramanujan Hall
Title: Existence of divided power algebra -II
Speaker: Jai Laxmi, IIT Bombay
Abstract: I will start with the definition of divided power algebra and then show that for any commutative ring $R$ there is a divided power algebra. We will see one of its applications which shows one-one correspondence between $m$-primary ideals of polynomial ring $k[ X_1,..X_n]$ and finitely generated submodule of injective hull of $k$ over $k[X_1,..X_n]$. We recall some basic properties of canonical modules and discuss how to compute these modules. We then focus on special cases in dimension zero and one.