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Meeting ID: 891 8743 0260
Abstract: We expose recent results on a certain geometrical mechnism of formation of singularities of modified Novikov-Veselov and Davey-Stewartson II equations. The singular solutuions are constructed bymeans of surface theory. These systems are represented by L,A,B-triples and we discuss the relation of such a mechanism to the degeneration of the zero level discrete spectra of the correspondsing L-operators.
Bio: Iskander Asanovich Taimanov is an Academician of the Russian Academy of Sciences and an invited speaker of ICM’2022. He graduated from the Faculty of Mechanics and Mathematics of Moscow State University in 1983. In 1987, Iskander Taimanov defended his PhD thesis under the supervision of academician S. P. Novikov. In 1994, he defended his doctoral thesis at Steklov Institute of the Russian Academy of Sciences.
Now Prof. Taimanov works as a Principal Researcher at Sobolev Institute of Mathematics of the Siberian Branch of RAS being also the Chair of the Department of Geometry and Topology of Novosibirsk State University. Acad. Taimanov is a member of the board of directors of the Kazakh-British Technical University and participates on editorial boards of several prestigious journals. In September 2017, Acad. Taimanov was elected to the Presidium of the Russian Academy of Sciences.
Iskander Taimanov is an expert in research concerning geometry, calculus of variations, soliton theory. Topics of his work are Morse–Novikov theory and Willmore surfaces. He is the author of the textbook Lectures on Differential Geometry.