[專題演講] 【5月27日】劉雨桐 / Rectifiability properties of distributions and Brakke flow

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Rectifiability properties of distributions and Brakke flow

Time: May 27 (Wed.) 14:20-15:20
Venue: M212, Gongguan Campus, NTNU

劉雨桐  Yu-Tong Liu
PhD student, Department of Mathematics, NTNU

In this talk, we discuss how the rescaling process of distribution and Brakke flow is used to study their rectifiability. We introduce the pointwise differential for distribution and present four results: Borel regularity of the differential, Lusin theorem, rectifiability of k jet, and Rademacher theorem. For Brakke flow, we use the notion of space time measure, introduced in this paper, to prove the rectifiability of the Brakke flow.