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Sino-Russian Mathematics Center-JLU Colloquium(2023-029)—Solving some Hamiltonian system via the inverse scattering method

Posted: 2023-11-23   Views: 

Title:Solving some Hamiltonian system via the inverse scattering method

Reporter:Xiaomeng Xu

Work Unit:Peking University

Time:Dec.1, 11:00-12:00

Address:313 Zhengxin Building


Summary of the report:

The inverse scattering method, as well as the r-matrix formulation, was designed to study some nonlinear problem via the associated linear one. This talk studies a question of this type. In particular, it finds some special solutions of the Hamiltonian system arising from the theory of isomonodromy deformation.

 

Introduction of the Reporter:

Xu Xiaomeng, assistant professor at Peking University, received his PhD from the University of Geneva in 2016. His research interests are representation theory, symplectic geometry, singularity theory and its application in mathematical physics. Currently, he has published several papers in Adv. Math., Comm. Math. Phys., Int. Math. Res. Not.