THEMATIC PROGRAM ON ARITHMETIC GEOMETRY, HYPERBOLIC GEOMETRY AND RELATED TOPICS

Distinguished Lecture Series
Yum-Tong Siu
Mathematics Department, Harvard University

November 12-14, 2008

Multiplier Ideal Sheaves --
an Interface Between Analysis and Algebraic Geometry

Multiplier ideal sheaves identify the location and the extent of failure of estimates in partial differential equations and describe the degeneracy from instability in geometric analysis. They have been applied to such algebraic geometric problems as the Fujita conjecture, the deformational invariance of plurigenera, and the analytic proof of the finite generation of the canonical ring. They have also opened up a new avenue of applying algebraic geometric methods to solvability and regularity problems of partial differential equations.

Speakers in the Distinguished Lecture Series (DLS) have made outstanding contributions to their field of mathematics. The DLS consists of a series of three one-hour lectures.