题  目：Jacobi structures of evolutionary partial differential equations
 
报告人：刘思齐教授       清华大学数学科学系
 
时  间：2011年11月23日15:00-16:00
 
地  点：管理科研楼1518
 
摘  要：We introduce the notion of infinite dimensional Jacobi structure to describe the geometrical structure of a class of nonlocal Hamiltonian systems which appear naturally when applying reciprocal transformations to Hamiltonian evolutionary PDEs. The Lichnerowicz-Jacobi cohomologies for certainnon-degenerate Jacobi structures are computed, and a Darboux theorem is proved in this case. We also introduce the notion of bi-Jacobi structures, and consider the integrability of a system of evolutionary PDEs that possesses a bi-Jacobi structure.
 
Reference: Liu, Si-Qi; Zhang, Youjin. Jacobi structures of evolutionary partial differential equations.
Adv. Math. 227 (2011), no. 1, 73�130
 
 
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