香香腐宅

报告题目：Classification of bi-Hamiltonian pairs extended by isometries

报 告 人：Maxim Pavlov(俄罗斯科学院列别德夫物理研究所 教授)

会议时间：2021/11/5  14:00开始

会议地点： zoom 会议号: 95844448644 密码:123456

报告摘要：In this talk, we classify pairs of the first-order Hamiltonian operators of Dubrovin-Novikov type such that one of them has a non-local part defined by an isometry of its leading coefficient. An example of such a bi-Hamiltonian pair was recently found for the constant astigmatism equation. We obtain a classification in the case of two dependent variables, and a significant new example with three dependent variables that is an extension of a hydrodynamic-type system obtained from a particular solution of the Witten-Dijkgraaf-Verlinde-Verlinde equations.