会议室预约入口
"智能计算与应用"同济大学数学中心
English
学术报告
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Progress on Restricted Sums of Four SquaresIn 1770 Lagrange established the famous four-square theorem: Each $n\in\mathbb N=\{0,1,2,\ldots\}$ can be written as a sum of four squares. In 2016 the speaker posed many conjectures refining Lagrange's four-square theorem. For example, his 24-conjectu...孙智伟 教授 （南京大学）致远楼101室2021年11月26日（星期五） 10:00-11:00
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Global Regularity of the Optimal Transport MapsIn a recent work, we developed some new techniques dealing with the boundary regularity of optimal transport problem. In this talk, we will discuss this work. This is based on joint works with Jiakun Liu and Xu-Jia Wang.陈世炳 教授 （中国科学技术大学）腾讯会议室2021年11月23日（星期二） 16:00-16:50
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平均曲率刚性定理与非刚性形变的构造我们将从Gromov的一个定理及 Souam 的“初等”证明开始，介绍平均曲率刚性现象。Gromov的定理说，一个欧氏空间的超平面，如果想在它的一个紧子集上做一个扰动，同时保持它的平均曲率H非负，则这种变形是不存在的。这个现象我们称之为“平均曲率刚性”定理。本报告中，我将解释 Souam ...马翔 教授 （北京大学）腾讯会议室2021年11月23日（星期二） 15:00-15:50
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Subellipticity of Some Complex Vector Fields Related to Witten LaplacianWe consider some system of complex vector fields related to the semi-classical Witten Laplacian, and establish the local subellipticity of this system basing on condition (Ψ).李维喜 教授 （武汉大学）腾讯会议室2021年11月23日（星期二） 14:00-14:50
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On Complex Structures on Einstein Four-ManifoldsThe question that when a four-manifold with a complex structure admits a compatible Einstein metric has been answered by LeBrun. In this talk, we will discuss some recent progress on the inverse question, namely, when a four-manifold with Einstein me...吴鹏 教授（复旦大学）腾讯会议室2021年11月23日（星期二） 13:00-13:50
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Constant Scalar Curvature Kahler Metrics on Ramified Galois CoversLet f: M—>N be a finite ramified Galois cover between compact Kahler manifolds. If N has a cscK metric, under suitable conditions, we shall prove the existence of cscK metrics on M. This generalizes previous works of Arezzo-Ghig...石亚龙 副教授 （南京大学）腾讯会议室2021年11月23日(星期二) 11:00-11:50
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Global Solutions of 2D Isentropic Compressible Navier-Stokes Equations with o...We prove the global existence of solutions to the two-dimensional isentropic compressible Navier-Stokes equations with smooth initial data which is slowly varying in one direction and with initial densi...吕勇 副教授 （南京大学）腾讯会议室2021年11月23日（星期二） 10:00-10:50
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Anisotropic Minkowski Inequality for Non-Convex DomainsIn this talk, we discuss the anisotropic Minkowski inequality, which is an isoperimetric type inequality between anisotropic mean curvature integral and anisotropic area, for star-shaped F-mean convex domains or outward F-minimizing domains. Ou...夏超 教授 （厦门大学）腾讯会议室2021年11月23日（星期二） 9:00-9:50
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