Signacial Biography

Scientific interests of geometry and the theory of functions of a material variable. The reminance belongs to fundamental results in geometry, in the theory of functions, in the field of classic variational calculus and in a number of other sections. It is the founder of new directions in mathematics, occupying a borderline place between analysis and geometry.

One of them is called the theory of spatial display with a limited distortion of quasi -regular display. The latter are a multidimensional material analogue of analytical functions and a "audible" generalization of spatial quasiconic display. In the works of Yu. Reshetnika, important concepts of nonlinear potential theory are also laid, one of which is L, P -the capacity.

In the framework of this area, significant advancements in the theory of functions with generalized derivatives have been achieved. The results of Yu. Reshetnika are the basis for the research of the school he created, with several dozen doctors and candidates of sciences. The authority of Siberian mathematics in the field of analysis and geometry is largely associated with the personal achievements of Yuri Grigoryevich, many of which have long become classic.

Here, first of all, it should be called the famous Yu. Reshetnika theorem of isothermal coordinates on two -dimensional varieties of limited curvature introduced by A. world fame acquired by Yu. Reshetnik the final solution to the problem of M. Lavrentiev about the stability of conformal references. The theorems of Yu. Reshetnika about the weak convergence of the Jacobians and the semi -intake from the bottom of the functionals of variation calculus became classic.

Reshetnyak put a lot of effort in the creation, formation and formation of the scientific appearance of the "Siberian mathematical magazine", in which he has been actively working from the first days of the organization.

The fact that the SMZH is one of the most popular mathematical magazines, the great personal merit of Yuri Grigoryevich. The scientific projects of Yuri Grigoryevich are implemented in more than a hundred scientific articles and five monographs. During the pedagogical activity, Yuri Grigoryevich Reshetnyak wrote more than 20 textbooks. Isothermal coordinates in the varieties of limited curvature.

General Theory of Irregular Curves. Mathematics and Its Appl. Soviet ser. With A. Space Mappings with Bounded Distortion. Monographs; Vol. Stability Theorems in Geometry and Analysis. Sustainability theorems in geometry and analysis. The pedagogical activity of Yu. Reshetnyak has been working at Novosibirsk State University since its founding. The long -term activity of Yuri Grigoryevich, related to the production and improvement of the modern course of mathematical analysis to a large extent contributed to the formation of the concept of training at a young university, which quickly won a strong reputation as a high -class mathematician training center.

Lectures by Yu. Reshetnyak, his numerous textbooks on modern sections of analysis and for difficult heads of the main course for more than three decades have been popular among students and teachers both at NSU and other leading universities in the country. The solid is prepared by the textbook "Course of mathematical analysis in 4 books." The biography of Yu. Reshetnyak was born in the city of Leningrad on September 26 in the city of finished training at four years and was left in the graduate school of LSU.

A. During the years of graduate school, the foundation of fruitful scientific cooperation of A. Alexandrov and Yu. Reshetnyak, which lasted more than half a century, was laid down by the scientific director of Yu. Reshetnyak. Reshetnyak defended his thesis "On the length and turn of the curve and on the surface area" and was sent to work at the Leningrad branch of the Mathematical Institute named after The Soviet government decided to create a new scientific unit in the center of Russia of the Siberian Branch of the Academy of Sciences.

The reshetnyak, among the first young scientists, responded to the call of the organizers with academicians M. Lavrentiev, S. Sobolev and S. Khristianovich and already at the end of the city in Novosibirsk, Yu. Reshetnyak continued the research that had begun in Leningrad, went a difficult path from a young scientist - a junior scientist to an venerable academician. It was in Siberia that the original style of research on the border between analysis and geometry, characteristic of Yuri Grigoryevich, was finally formed, its virtuoso and very peculiar mathematical technique was created and shaken.

In Novosibirsk in the city Reshetnyak defended his doctoral dissertation on the topic "Isothermal coordinates in two -dimensional varieties of limited curvature" The main result was obtained in the graduate school of LSU. At the Institute of Mathematics. The scientific authority of Yu. Reshetnika was so great that already in the city of Maltsev he was elected head of the department of mathematical analysis of the Novosibirsk State University, which was previously headed by M.

Lavrentiev and A. The scientific and pedagogical activities of Yu. Reshetnyak received highly appreciated. Reshetnyak received a prize to them. Lobachevsky, awarded by the Russian Academy of Sciences. In the last decade in the laboratory of Yu.Results are conducted in a new direction of the theory of display with limited distortion in the groups of Carno -Karatodori. Reshetnyak was elected a foreign member of the Finnish Academy of Sciences in the city of Reshetnyak awarded the Order of "Badge of Honor" and medals, in the city