Formation of singularities of 2D soliton equations represented by $L,A,B$-triples

• 主讲人：Sobolev Institute of Mathematics of RAS
• 举办方： Beijing-Saint Petersburg Mathematics Colloquium
• 时间： 2022-10-20 21:00 - 2022-10-20 22:00
• 地点： online

Recording: https://disk.pku.edu.cn:443/link/A060BCDC327122B952F2EE65455EB411
Valid Until: 2026-11-30 23:59

 

Abstract: We expose recent results on a certain geometrical mechanism of the formation of singularities of modified Novikov-Veselov and Davey-Stewartson II equations. The singular solutions are constructed by means 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 corresponding 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, and soliton theory. Topics of his work are Morse–Novikov theory and Willmore surfaces. He is the author of the textbook Lectures on Differential Geometry.