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課程名稱 |
高餘維度平均曲率流專題
Topics in higher codimensional mean curvature flow |
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開課學期 |
104-1 |
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授課對象 |
理學院 數學研究所 |
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授課教師 |
崔茂培 |
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課號 |
MATH5010 |
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課程識別碼 |
221 U6670 |
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班次 |
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學分 |
3 |
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全/半年 |
半年 |
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必/選修 |
選修 |
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上課時間 |
星期二3,4,5(10:20~13:10) |
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上課地點 |
天數304 |
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備註 |
總人數上限：20人 |
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課程簡介影片 |
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核心能力關聯 |
本課程尚未建立核心能力關連 |
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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 |
Higher codimensional mean flow has been an active research area in the last few years.
In this course, we will discuss the most recent development in this area including the following topics.
a. The Dirichlet Problem for the Minimal Surface System in Arbitrary Dimensions and Codimensions
b. Mean Curvature Flow OfPinched Submanifolds To Spheres
c. Mean curvature flow of pinched submanifolds of CP"n
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d. Deforming symplectomorphisms ofcomplex projective spaces by the mean curvature flow
e. Lagrangian mean curvature flow |
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課程目標 |
待補 |
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課程要求 |
待補 |
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預期每週課後學習時數 |
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Office Hours |
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指定閱讀 |
待補 |
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參考書目 |
a. Medos, Ivana; Wang, Mu-Tao Deforming symplectomorphisms of complex projective spaces by the
mean curvature flow. J. Differential Geom. 87 (2011), no. 2, 309-341
b. Wang, Mu-Tao The Dirichlet problem for the minimal surface system in arbitrary dimensions and
codimensions. Comm. Pure Appl. Math. 57 (2004), no. 2,267-281.
c. Andrews, Ben; Baker, Charles, Mean curvature flow of pinched submanifolds to spheres, J. Differential
Geom. 85 (2010), no. 3, 357-395.
d. Mean curvature flow ofpinched submanifolds of\mathbb{CP}"n, Giuseppe Pipoli, Carlo Sinestrari,
Preprint, available at http://arxiv.orglabs/1502.00519
e. Neves, Andre Recent progress on singularities of Lagrangian mean curvature flow. Surveys in
geometric analysis and relativity, 413-438, Adv. Lect. Math. (ALM), 20, Int. Press, Somerville, MA,
2011.
f. Smoczyk, Knut Mean curvature flow in higher codimension: introduction and survey. Global
differential geometry, 231-274, Springer Proc. Math., 17, Springer, Heidelberg, 2012. |
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評量方式
(僅供參考) |
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