11/30/2005

Yum-Tong Siu
Harvard University

Multiplier Ideal Sheaves and the Finite Generation of Canonical Rings

Multiplier ideal sheaves identify the jet directions where estimates for partial differential equations fail.  The technique of multiplier ideal sheaves injects in a new way methods of algebraic geometry into problems of analysis.  It also opens new channels of applying analysis to problems in algebraic geometry.  We will discuss its application to the problem of the finite generation of canonical rings.