On classification of tau-symmetric Hamiltonian evolutionary PDEs and its relation to Hodge integrals (I)


Youjin Zhang

16:30:00 - 17:30:00

308 , Mathematics Research Center Building (ori. New Math. Bldg.)

We consider the classification of deformations of the dispersionless KdV hierarchy which possess a Hamiltonian structure and satisfy the so called tau-symmetry property. We conjecture that such deformations are characterized by an infinite series of constant parameters, and provide evidences to support this conjecture. We also study the relation of this classification problem to the integrable hierarchies that control the Hodge integrals.

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