Record: NoLevel: GraduateLanguage: ChinesePrerequisiteMultivariable Calculus, Ordinary Differential Equation, Basics of Riemannian Geometry (optional)AbstractThe course will cover various comparison theorems under different curvature conditions in Riemannian geometry.Reference1. Riemannian Geometry - Peter Petersen2. Comparison Theorems in Riemannian Geometry - Jeff Cheeger, D. G. EbinSyllabus1...
Record: YesLevel: GraduateLanguage: EnglishPrerequisiteDifferential geometry, basic complex analysis.AbstractHyperkahler manifolds form an extremely symmetric class of manifolds of great importance throughout mathematics and physics. I'll introduce their basic properties before indicating many examples of known constructions. Finally, I hope to detail Gaiotto-Moore-Neitzke's conjectural descrip...