演讲者：童浥尘（京都大学）
时间：2022-12-19 16:20-17:20
地点：腾讯会议 ID 402-5413-1062
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For a closed simply-connected 2n-dimensional manifold M, it has been proved that the components of the free mapping space from M to 2n-sphere have exactly two different rational homotopy types. However, since this result is proved by algebraic models of components, we do not know whether other homotopy invariants distinguish these two types or not. In this talk, we completely determine the self-closeness numbers of rationalized components of the mapping space and prove that they do distinguish different rational homotopy types. The methods also have potential to be extended on other mapping spaces.
