香蕉视频

Title:听Calabi-Yau manifolds with maximal volume growth

础产蝉迟谤补肠迟:听Calabi-Yau manifolds with maximal volume growth are complete Ricci-flat K盲hler manifolds where any r-ball has volume at least r^m up to a uniform constant factor and m is the real dimension of the manifold. Bishop-Gromov volume comparison theorem implies that such growth is indeed maximal. This notion generalizes the more well-known notion of asymptotically conical (AC) manifolds. Contrary to the AC case, the asymptotic cones at infinity in general can have non-isolated singularities. In this talk, I will give a (biased) survey of the recent progress on this ongoing topic.

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