課程資訊
課程名稱
高餘維度平均曲率流專題
Topics in higher codimensional mean curvature flow 
開課學期
104-1 
授課對象
理學院  數學系  
授課教師
崔茂培 
課號
MATH5010 
課程識別碼
221 U6670 
班次
 
學分
全/半年
半年 
必/選修
選修 
上課時間
星期二3,4,5(10:20~13:10) 
上課地點
天數304 
備註
總人數上限:20人 
 
課程簡介影片
 
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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
,
d. Deforming symplectomorphisms ofcomplex projective spaces by the mean curvature flow
e. Lagrangian mean curvature flow 

課程目標
待補 
課程要求
待補 
預期每週課後學習時數
 
Office Hours
 
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. 
指定閱讀
待補 
評量方式
(僅供參考)
   
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日期
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