Mathematical Sciences: Vector Bundles and Integrable Systems

9404087 Previato该研究涵盖了与代数曲线几何和向量丛模空间理论相关的哈密顿和可积系统的各个方面。θ函数理论的几个方面将被考虑与某些类微分方程的关系。该研究对数学的其他分支、数学物理，特别是孤子理论具有潜在的应用价值。***

9404087 Previato The research covers aspects of Hamiltonian and integrable systems as related to the geometry of algebraic curves and the theory of moduli spaces of vector bundles. Several aspects of the theory of theta functions will be considered in their relationship with certain classes of differential equations. The research has potential applications to other branches of mathematics, mathematical physics, in particular the theory of solitons. ***