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Poincare Conjecture and Geometrization
[해외석학 특별강연 시리즈]
Date: 2018-03-21
Speaker : Gang Tian (Peking University and Princeton University)
Abstract : For more than one hundred years, the Poincare conjecture was a driving force for topologists and its study led to many progresses on topology. It was finally solved by Perelman using differential geometric methods. In this lecture, I will tell what is the Poincare conjecture and a brief history of pursuing it. I will explain geometric ideas involved in solving the conjecture, particularly, geometrization of 3-spaces. I will end up with some speculations on future developments in geometry. This lecture is aimed at general audience.
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