Classical Yang-Baxter equation and sheaves on degenerations of elliptic curves

我们想把CYBE的解与算术属1的简单无扭相干sheaveson曲线联系起来。设Kp为p-1中p条一般并行射影线的构型，且p≥3。我们将研究：(1)Kp上的简单向量束，(2)对应泛族上CYBE的解，(3)相关的代数结构：海带李代数上的Frobenius泛函，在Kp上的向量束研究中出现的一个波的表示等。在这些结果与数学物理问题之间建立联系。

We want to relate solutions of CYBE with simple torsion free coherent sheaveson curves of arithmetic genus one.1. Let Kp be the configuration of p generic concurrent projective lines in Pp-1 forp ≥ 3. We are going to studya) simple vector bundles on Kp,b) solutions of CYBE attached to the corresponding universal families,c) related algebraic structures: Frobenius functionals on seawead Lie algebras, representations of a bocses arising in the study of vector bundles on Kp etc.2. Establish a link between these results with problems of mathematical physics.