|Keywords:||complex analysis, integral representations, separating cycles, discriminants, amoebas, PDE, spectral theory|
The project "Multidimensional complex analysis and differential equations" aims to develop new integral methods of complex analysis and then use them to solve a number of basic research questions related to problems of mathematical physics, bioinformatics, as well as to the investigations into 13th Hilbert’s problem (in its algebraic version), solution to the Navier-Stokes equations and other. The research will be carried out by the mathematicians from the Krasnoyarsk scientific school in complex analysis that became internationally recognized for their work in complex analysis and its applications to signal processing, chemical kinetics, thermodynamics, and particle physics.
The leading scientist Ari Laptev is a mathematician specializing in the spectral theory of partial differential equations and complex analysis in the context of their applications in mathematical physics. He is currently professor at Imperial College London (UK) and KTH (Stockholm, Sweden), director of Institut Mittag-Leffler (Sweden) since 2011, editor of 7 international journals. In 2007–2010 Ari Laptev served as the President of the European Mathematical Society; in 2012 he was elected Member of the Royal Swedish Academy of Sciences.