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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Calogero-Moser空间的辛全形稠密性
Calogero-Moser空间 辛全形 稠密性
2023/4/13
和在复几何有不少应用的稠密性相比，目前没有很多辛稠密的Stein流形。探讨稠密性在辛范畴的推广，需要足够例子。第一个例子是偶维复欧式空间，Forstneric证明了辛切变生成它的辛自构群的一个稠密子群。在这个报告我会介绍稠密概念的来源，辛稠密的定义和特征，以及作为其推论的辛版Andersen-Lempert定理（在紧致集上用辛自构映射模拟向量场的局部相流）。最后介绍Calogero-Moser空间...
2D Locus Configurations and the Charged Trigonometric Calogero-Moser System
2D Locus Configurations Charged Trigonometric Calogero-Moser System
2011/2/25
A central hyperplane arrangement in C2 with multiplicity is called a ‘locus configuration’ if it satisfies a series of ‘locus equations’ on each hyperplane.Following [CFV99].
We add a last refinement to the results of [BW1] and [BW2] re-lating ideal classes of the Weyl algebra to the Calogero-Moser varieties: we show that the bijection constructed in those papers is unique...
Poisson Structures of Calogero-Moser and Ruijsenaars-Schneider Models
Ruijsenaars-Schneider Models Calogero-Moser
2010/4/7
We examine the Hamiltonian structures of some Calogero-Moser and Ruijsenaars-Schneider N-body integrable models. We propose explicit formulations of the bihamiltonian structures for the discrete model...
通过一定规范变换,构造了三角Calogero–Moser模型一种新的Lax算子,使其具有相应的非动力学r矩阵结构.同时发现该r矩阵结构与三角Ruijsenaars–Schneider模型的r矩阵完全相同.