微分几何与几何分析讨论班(2018秋季学期)

时间:周五上午(或周六下午)

地点:蒙民伟楼1105报告厅

 

 

 

报告人

题目与摘要

2018921日10:00–12:00

蒙民伟楼1105 

张希(中国科技大学)

Title: Nonlinear PDE in complex geometric analysis

Abstract: Hermitian Yang-Mills equation and Complex Monge-Amp\`ere equation are two very important two nonlinear PDE in Complex Geometry. In this talk I will recall some classical results, and introduce our recent works on these two nonlinear PDE and their applications in complex geometry. These works are joint with Dinew, Guan Pengfei, Jin Xi shen, Li Chao, Li Jiayu, Liu Jiawei,  Zhang Chuanjing,  Zhang Pan and Zhang Xiangwen.

 201892810:00-12:00

蒙民伟楼1105 


王林峰(南通大学)

Title: p-Laplace parabolic equation on manifolds and graphs

Abstract:  In the first part of this report, by a regularization process we derive a new gradient estimate for the p-Laplace parabolic equation on a closed manifold with the Ricci curvature bounded from below by a negative number, which includes the gradient estimate established by Ni and Kotschwar on closed manifolds with nonnegative Ricci curvature, and also includes the Davies, Hamilton, and Li-Xu's gradient estimates. In the second part of this report, we establish a general gradient estimate for the p-Laplace parabolic equation on a connected finite graph under a suitable curvature-dimension condition. When the curvature is nonnegative we derive the logarithmic gradient estimate; when the curvature is bounded from below by a negative number we derive the Davies, Hamilton, Bakry-Qian and Li-Xu's estimate, as special cases. Based on the gradient estimates, we derive the Harnack inequalities.

20181012日10:00–12:00 

蒙民伟楼1105 

刘世平(中国科技大学)

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20181019日10:00—12:00

蒙民伟楼1105

盛为民(浙江大学)

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20181019日14:00—16:00

蒙民伟楼1105 

李海中(清华大学)

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20181026日10:00—12:00

蒙民伟楼1105 

付吉祥(复旦大学)

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2018112日10:00—12:00

蒙民伟楼1105 


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20181110日14:00—16:00

蒙民伟楼1105 

朱晓宝(中国人民大学)

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20181116日10:00—12:00

蒙民伟楼1105 

马力(北京科技大学)

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20181123 10:00–12:00

蒙民伟楼1105 


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20181130日10:00–12:00 

蒙民伟楼1105 


 

2018127日10:00–12:00 

蒙民伟楼1105 

孙俊(武汉大学)

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20181214 10:00–12:00

蒙民伟楼1105 



20181221日10:00–12:00 

蒙民伟楼1105 


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20181228日10:00–12:00

蒙民伟楼1105 


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201914日10:00–12:00

蒙民伟楼1105 


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2018111日10:00–12:00 

蒙民伟楼1105 


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