Super Tau-Covers of Bihamiltonian Integrable Hierarchies
发布时间:2020年12月03日
浏览次数:5674
发布者: He Liu
主讲人: Youjin Zhang (Tsinghua University)
活动时间: 从 2020-12-04 10:00 到 11:00
场地: 北京国际数学研究中心,全斋全29教室
We consider a certain super extension, called the super tau-cover, of a bihamiltonian integrable hierarchy which contains the Hamiltonian structures including both the local and non-local ones as odd flows. In particular, we construct the super tau-cover of the principal hierarchy associated with an arbitrary Frobenius manifold, and the super tau-cover of the Korteweg-de Vries hierarchy. We also show that the Virasoro symmetries of these bihamiltonan integrable hierarchies can be extended to symmetries of the associated super tau-covers.