智学盟AI赋能学习系统
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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On Critical Hartree Equations: Qualitative Analysis and its ApplicationsIn this talk I will first introduce some qualitative properties of the solutions of the critical Hartree equation, such as the regularity, symmetry, decay estimates, classification and nondegeneracy. Then as an applicati...2021年11月26日
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On Kodaira Dimension of Almost Complex ManifoldsThe Kodaira dimension is a fundamental invariant in complex geometry and algebraic geometry. Recently, it has been introduced to almost complex manifolds and has several applications. In this talk, I will discuss some properties of Kodaira dimension on almost complex manifolds and review some recent results. This talk is mainly based on joint work with Weiyi Zhang.2021年11月25日
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非负Ricci曲率空间上的等周不等式在本次报告中，报告人将在具有非负Ricci曲率的度量测度空间的框架下，使用最优传输的方法证明一个联系Cheeger常数和体积熵的等周型不等式，并证明其最佳性和刚性欢迎各位参加2021年11月25日
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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...2021年11月24日
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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.2021年11月19日
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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 ...2021年11月19日
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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).2021年11月19日
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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...2021年11月19日
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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...2021年11月19日
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Global Solutions of 2D Isentropic Compressible Navier-Stokes Equations with one Slow VariableWe 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...2021年11月19日
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