Title: Morphisms of Projective Varieties from the viewpoint of Minimal Model Theory
Program:
1. Vanishing and non-vanishing theorems:
resolving the base locus of linear systems -
from the classical arguments toward the new techniques of
Kawamata and others,
existence of good sections of the (pluri-)anticanonical system
and the Apollonius method.
2. Fano-Mori contractions:
definitions, classical facts and questions,
rational curves on algebraic varieties, existence of rational
curves in fibers of a Fano-Mori contraction,
classification of Fano-Mori contractions.
3. Applications:
minimal model program,
adjunction theory,
Moishezon manifolds,
projective varieties with an action of a linear algebraic group,
birational geometry of uniruled varieties.