By Marco Abate, John Erik Fornaess, Xiaojun Huang, Jean-Pierre Rosay, Alexander Tumanov (auth.), Dmitri Zaitsev, Giuseppe Zampieri (eds.)
The geometry of genuine submanifolds in complicated manifolds and the research in their mappings belong to the main complicated streams of latest arithmetic. during this sector converge the innovations of assorted and complex mathematical fields similar to P.D.E.'s, boundary price difficulties, prompted equations, analytic discs in symplectic areas, complicated dynamics. For the range of topics and the strangely solid interplaying of alternative learn instruments, those difficulties attracted the eye of a few one of the best mathematicians of those newest twenty years. in addition they entered as a polished content material of a sophisticated schooling. during this experience the 5 lectures of this quantity offer an exceptional cultural history whereas giving very deep insights of present examine activity.