Prof. Youjin Zhang
Tsingua University, China
Special Cubic Hodge Integrals and the Fractional Volterra Hierarchy
We show that the generating function of cubic Hodge integrals satisfying the local Calabi-Yau condition is the tau function of a particular solution of an integrable hierarchy called the fractional Volterra hierarchy. This integrable hierarchy is a certain generalization of the Volterra lattice hierarchy (also called the discrete KdV hierarchy) which is well known in the theory of nonlinear integrable systems.
Thursday 21 Jul 2020, 10AM Beijing Time.