Date & Time: 20th April, 2012, 15:30-17:00.

Venue: Ramanujan Hall

Title:Zariski's Theory of complete ideals

Speaker: J.K.Verma, IIT Bombay

Abstract: We will finish the proof of the Lipman-Rees Theorem about their numerical characterisation of contracted ideals. We will then introduce the characteristic form of an m-primary ideal in a two dimensional RLR. This gives an explicit characterisation of quadratic transforms from which an ideal may be contracted. We shall also prove that a complete ideal is contracted from some quadratic transform which is a major step in the preparation of Zariski's theorem, viz: product of complete ideals is complete in a two dimensional RLR.