Mathematical Sciences: Quantum Integrable Systems

9322614到目前为止，该项目涉及研究C.Neumann问题和椭球面上测地线流的经典和半经典谱渐近性。此外，还将研究广义非对称拓扑与测地线流理论之间的联系。该项目位于分析和几何之间的交界处。这些问题自然与流体在歧管中的流动有关，也与声波散射的重要问题有关。涉及的技术涵盖了从经典函数理论到群作用几何的最新结果的广泛范围。***

9322614 Toth The project involves the study of the classical and semi- classical spectral asymptotics for the C. Neumann problem and geodesic flows on the ellipsoid. In addition, connections between the generalized asymmetric topology and the theory of geodesic flows will be investigated. This project lies at the interface between analysis and geometry. The problems are naturally related to fluid flow in a manifold and important problems of acoustic scattering. The techniques involved cover a wide spectra from classical function theory to the latest results from the geometry of group actions. ***