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NCTS Differential Geometry Seminar
 
16:00 - 17:00, October 12, 2017 (Thursday)
R440, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 440室)
Distances Between Classes of Sphere-Valued Maps
Itai Shafrir (Technion-Israel Institute of Technology)

Abstract

Certain spaces of Sobolev maps taking values in spheres can be decomposed into classes according to the singularities of each map. Two important examples are and , where  is a smooth bounded domain in .  We present several results and open problems regarding two natural notions of distance between different classes. This is a joint work with Haim Brezis and Petru Mironescu.



 

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