Presentation Name: | 创新群体报告:Phase transition in metric measure geometry I |
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Presenter👱🏼♀️: | Professor Takashi Shioya |
Date🐄: | 2014-09-15 |
Location👨🦳: | 光华东主楼1801 |
Abstract: | In these two talks, I first explain a theory of metric measure geometry due to Gromov, which is suitable to study the asymptotic behavior of a sequence of Riemannian manifolds with unbounded dimension. In one of our main theorems, we observe the phase transition phenomenon in such a sequence provided that the manifolds in the sequence has high symmetry. We also study critical scale limits in the phase transition for spheres and projective spaces. |
Annual Speech Directory: | No.132 |
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