Talk I: GROMOV-WITTEN INVARIANTS AND INTEGRABLE SYSTEMS

The aim of this talk is to make an exposition of the theorems and
conjectures in Gromov-Witten theory that are related to completely
integrable systems. This includes in particular Witten's conjecture,
Kontsevich's solution, generalizations and variants of these, and the
work of Givental and Kim. Most concepts, especially those related to
integrable systems will be explained without assuming prior knowledge.