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Topology/Geometry Seminar

Examples of Ricci limit spaces with non-integer Hausdorff dimension

Jiayin Pan (Fields Institute)

Location:  zoom
Date & time: Tuesday, 14 September 2021 at 11:00AM - 12:00PM

We give the first examples of collapsing Ricci limit spaces on which the Hausdorff dimension of the singular set exceeds that of the regular set; moreover, the Hausdorff dimension of these spaces can be non-integers. These examples answer a question of Cheeger-Colding about collapsing Ricci limit spaces. This is joint work with Guofang Wei. 

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