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.
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