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Geometry and Topology of Manifolds
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Since the year 2000, we§have witnessed several outstanding results in geometry that have solved long-standing§problems such as the Poincaré conjecture, the Yau-Tian-Donaldson conjecture, and the Willmore conjecture. There are still many important§and challenging unsolved problems including, among others, the Strominger-Yau-Zaslow conjecture on mirror symmetry, the relative Yau-Tian-Donaldson conjecture in Kähler geometry, the Hopf conjecture, and the Yau§conjecture on the first eigenvalue of an embedded minimal hypersurface of the§sphere. For the younger generation to approach such problems and obtain the required§techniques, it is of the utmost importance to provide them with up-to-date§information from leading specialists. The geometry conference for the friendship of§Chinese and Japanese participants has achieved this§purpose during the past 10 years. Their talks deal with problems at the highest§level, often accompanied with solutions and ideas, which extend across various§fields in Riemannian geometry, symplectic and contact geometry, and complex§geometry.
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