This school is devoted to providing an audience comprising, primarily, students working towards a PhD in any area of analysis or geometry exposure to fundamental tools from SCV. In recent times, methods from SCV have made inroads into many fields of mathematics – ranging from analytic geometry to operator theory. This observation shapes the choice of topics that comprise the proposed syllabus for this Instructional School, namely:

• The concept of holomorphicity in several variables and the basic theory
• Subharmonicity and plurisubharmonicity
• Zeros of holomorphic functions
• The ∂̅—problem
• The Levi problem
• Invariant metrics

Topics to be covered in terms of modules of 6 lectures each:

 References:

• Steven G. Krantz, Function theory of several complex variables: AMS Publishing, 2001.
• R. Narasimhan, Several complex variables: University of Chicago Press, 1971.
• R.M. Range, Holomorphic functions and integral representations in several complex variables, GTM 108, Springer-Verlag, 1986.

 Names of the tutors/course associates:

 Tentative Timetable:

 Key: