Seminar| Institute of Mathematical Sciences
Time: Friday, May 15th, 2026,15:00-16:00
Location: IMS, RS408
Speaker: Youjin Zhang, Tsinghua University
Abstract: We consider the relationship between a class of generalized Frobenius manifolds and bihamiltonian integrable hierarchies, and present, for any such generalized semisimple Frobenius manifold, an analogue of the construction of the Principal Hierarchy and its topological deformation which is known for a semisimple Frobenius manifold. We also give two examples of generalized Frobenius manifolds and show that they are closely related to the well-known integrable hierarchies: the Volterra hierarchy, the q-deformed KdV hierarchy and the Ablowitz-Ladik hierarchy.