ABSTRACT

In this talk, we will investigate the possible singularity behavior of closed solutions of Ricci flow whose Ricci curvature is uniformly bounded below, and whose volume does not go to zero. In four dimensions, we will see that only orbifold singularities can arise, and prove integral curvature estimates on time slices. We will also see a rough picture of singularity formation in higher dimensions.

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ID: 626 5999 2735

Password: 332153

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https://zoom.com.cn/j/62659992735?pwd=bWdHUjNBeGhMUldob2x5eUFabmVqZz09

BRIEF BIO

Max Hallgren is a fifth-year PhD student at Cornell University, supervised by Xiaodong Cao. He is primarily interested in the formation of singularities in solutions of Ricci flow.