Record: YesLevel: GraduateLanguage: ChinesePrerequisiteAbstractThis course is a continuation of last semester and will cover the following topics:1) Normal forms of Hamiltonian systems and bifurcation theory;2) Averaging methods of classical perturbation theory;3) KAM stability of Hamiltonian systems;4) Effective stability of nearly integrable systems;5) Numerical stability of symplectic g...
AbstractThis course will cover the geometric foundations of metaverse technologies, including the main concepts and theorems in algebraic topology, differential geometry, Riemann surface theory and optimal transportation theory. Then the computational methods for persistent homology, conformal parameterization, mesh generation, surface Ricci flow and the optimal transportation maps will be intr...