Higher dimensional complex analysis is rather young in comparison with the one dimensional theory. The first period of flowering of multivariable complex analysis goes back to the beginning of the 20th century.
However, for a rather long time, multivariable problems of complex analysis remained in the background. Nevertheless, the situation changed rapidly in the 1960s, when multidimensional problems began to attract the attention of mathematicians with other specialties and theoretical physicists. One of the reasons for this was apparently the investigations begun in the 1930s by H. Cartan, K. Oka, and others, which connected problems of multivariable complex analysis with geometry, topology, algebra and algebraic geometry. Both classical and new results in this area have found numerous applications in differential and algebraic geometry, and, in particular, in contemporary mathematical physics.

In correspondence with the rapid development of multivariable complex analysis in recent decades, the main objective of this workshop is to provide general familiarity with contemporary and modern methods and approaches in this significant theory.

For this purpose, we have invited Professor Valerii Beloshapka from the Lomonosov Moscow State University, Russia. He is known in particular for his considerable works in Cauchy-Riemman geometry and the complexity of analytic functions. Professor Beloshapka will present three basic lectures on the fundamental ideas and approaches of the multidimensional complex analysis, Cauchy-Riemann geometry and the complexity of analytic functions and Hilbert's 13th problem.

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It is not planned to call for papers.