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FIELD Mathematics
DATE September 06 (Fri), 2019
TIME 16:30-17:30
PLACE 1423
SPEAKER Chai, Xiaoxiang
HOST Kim, Daehwan
INSTITUTE 고등과학원
TITLE [GS_M_RCG] Isometric embedding of a 2-disc
ABSTRACT

It is a classical result of Nirenberg and Pogorelov that a 2-sphere with positive Gauss curvature can be isometrically embedded in to Euclidean 3-space.
In this talk, I will present a proof due to Jiaxing Hong of a disc with positive Gauss curvature and whose boundary has positive geodesic curvature can be isometrically embedded into Euclidean half 3-space. If time permits, I will include a discussion of my own recent work on isometric
embeddings of 2-disc into hyperbolic space.

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