課程名稱 |
幾何流一 GEOMETRY FLOW(I) |
開課學期 |
96-1 |
授課對象 |
理學院 數學系 |
授課教師 |
林長壽 |
課號 |
MATH8303 |
課程識別碼 |
221 U5310 |
班次 |
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學分 |
3 |
全/半年 |
半年 |
必/選修 |
選修 |
上課時間 |
星期二2,3,4(9:10~12:10) |
上課地點 |
共404 |
備註 |
總人數上限:50人 |
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課程簡介影片 |
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核心能力關聯 |
核心能力與課程規劃關聯圖 |
課程大綱
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為確保您我的權利,請尊重智慧財產權及不得非法影印
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課程概述 |
In this Course, I would like to talk about the Ricci flow and some other geometric flows which are related some important geometric problem, Riemanian or Complex. There are three important subjects in Ricci flow : 1. Harnack inequality. 2. the lower bound control of volume. 3. the curvature control through the control of the lower bound of volume.
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課程目標 |
To understand the proof of the Poincare Conjecture and the Thurston geometrization conjecture |
課程要求 |
建議先修:PDE , Differential Geometry |
預期每週課後學習時數 |
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Office Hours |
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指定閱讀 |
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參考書目 |
H. D. Cao and X. P. Zhu: A complete proof of the Poincare and Geometrization Conjectures – Application of the Hamilton-Perelman theory of the Ricci folw.
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評量方式 (僅供參考) |
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