Presentation Name: 创新群体报告:Phase transition in metric measure geometry I
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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