报告时间：2024年1月18日下午3:00开始
报告人：Maksim Pavlov（俄罗斯科学院列别捷夫物理研究所 研究员）
报告地点：包玉书9号楼305
报告题目：How to Solve 3D Integrable Systems?
报告摘要：3D integrable systems possess infinitely many 2D integrable reductions. 3D dispersive integrable systems possess infinitely many 2D dispersive integrable reductions. 3D dispersionless integrable systems possess infinitely many 2D dispersionless integrable reductions. 3D Lax pairs determine 3D integrable systems. 2D Lax pairs determine 2D integrable systems. We introduce Lax triples for reducing 3D integrable systems to commuting pairs of 2D integrable systems. Then how to solve 2D integrable systems? We introduce Lax triples for reducing 2D integrable systems to commuting pairs of 1D integrable systems. Thus, we can introduce Lax quadruples for integration of 3D systems. This means, we present an algorithm for integration of 3D systems based on their decomposition on 1D systems, integrable in the Liouville sense.
报告人简介：Pavlov研究员系国际数学物理学界著名学者。早年毕业于俄罗斯科学院列别捷夫物理研究所，在国际著名数学家S. P. Novikov教授（菲尔兹奖获得者）的指导下获博士学位。之后在列别捷夫物理研究所任研究员。曾被邀请在国际上很多大学做邀请报告。他主要从事可积系统的哈密顿结构、达布变换和无色散可积系统等方面的研究，发表了多篇在国际上有影响的工作，成果被国际同行普遍引用超过 1 千余次。他被邀请在数学物理领域的多个重要国际会议上做大会报告。
