This volume is a collection of papers contributed by participants of Taniguchi Symposium, 1997 held at Kobe and Kyoto.“Integrable systems” and “algebraic geometry” are two classical fields in Mathematics and historically they have had fruitful interactions which have enriched both Mathematics and Theoretical Physics.This volume discusses recent developments of these two fields and also the unexpected new interaction between them.The following areas are covered: Mirror symmetry and geometry of Calabi-Yau manifolds; Hypergeometric systems; Gromov-Witten invariants and quantum cohomology theory; Theory of Frobenius manifolds; KP-hierarchy and singularity theory and conformal field theory.

This volume is a collection of papers contributed by participants of Taniguchi Symposium, 1997 held at Kobe and Kyoto.“Integrable systems” and “algebraic geometry” are two classical fields in Mathematics and historically they have had fruitful interactions which have enriched both Mathematics and Theoretical Physics.This volume discusses recent developments of these two fields and also the unexpected new interaction between them.The following areas are covered: Mirror symmetry and geometry of Calabi-Yau manifolds; Hypergeometric systems; Gromov-Witten invariants and quantum cohomology theory; Theory of Frobenius manifolds; KP-hierarchy and singularity theory and conformal field theory.