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Nonlinear potential theory and elliptic regularity theory are two classical topics in the modern analysis of partial differential equations. In this talk I show how these themes merge to solve the lon...
This lecture concerns the metric Riemannian geometry of Einstein manifolds, which is a central theme in modern differential geometry and is deeply connected to a large variety of fundamental problems ...
We investigate the frame set of regular multivariate Gaussian Gabor frames using methods from Kahler geometry such as Hormander's $\dbar$-L2 estimate with singular weight, Demailly's Calabi--Yau metho...
光在复杂介质中的传播是光学和相对论的经典课题。在爱因斯坦提出广义相对论不久,W. Gordon,I. E. Tamm和G. V. Skrotskii等将费马原理推广到弯曲时空。1960年,J. Plebanski指出弯曲时空度规的空间分量和时空混合分量分别等价于非均匀各向异性光学介质的折射率(介电常数与磁导率)和反对称非互易磁电耦合参数。上述结果已被广泛应用于引力场量子效应的实验室模拟。2006年...
We consider the Cauchy problem for the defocusing cubic NLS on R3T1 and establish almost sure scattering for random initial data. The main obstacle to extend the classical almost sure scattering resul...
In this talk, I will give a survey of results related to the problem of computing Hausdorff dimension of various dynamically defined sets, such as singular vectors. The aim is to try to describe the l...
CAD几何引擎是核心工业软件的卡脖子技术,而参数曲面求交又是CAD几何引擎中最核心的问题。参数曲面求交面临的挑战主要是算法的稳定性,交线的精度控制和求交的效率。 本工作主要是对参数曲面求交稳定性问题展开研究,首次给出了两个参数曲面交线的完全的拓扑结构分析和可行的计算方法,为开发稳定的CAD几何引擎奠定了理论基础。文章被计算机图形学顶会接收。
In this talk, we shall review firstly the study history of Kazdan-Warner equations on compact Riemann surfaces, which was proposed by Kazdan and Warner on Annals of Math on 1974. Then we shall show th...
The logarithmic Brunn-Minkowski inequality conjecture is one of the most intriguing challenges in convex geometry since 2012. Notably, this conjectured inequality is stronger than the celebrated Brunn...
This talk first solves explicitly a Riemann-Hilbert problem of confluent hypergeometric systems. It then conjectures and proves a special case that the WKB approximation of the monodromy data of confl...
In this talk, we report several very recent asymptotic results on certain classical geometric quantities viewed as random variables on the moduli space of Riemann surfaces for large genus (and many cu...
Rigid local systems over algebraic curves are those local systems determined by their local monodromies. They include many important classical local systems, such as those obtained from Bessel equatio...
We introduced a new family of translation invariant geometric measures arising from Integral Geometry of convex bodies. These measures are related to a family of new Monge-Ampère type operators conver...
We study mean curvature flows (MCFs) coming out of cones. As cones are singular at the origin, the evolution is generally not unique. A special case of such flows is known as the self-expanders. We wi...
王三华,男,1978年10月出生,教授、硕士生导师,博士学历,2011年6月博士毕业于四川大学。联系方式wsh_315@163.com。2014年入选首批南昌大学“215人才工程”赣江青年学者。美国数学评论员。主要研究领域为向量优化理论与应用。先后主持研究国家自然科学基金项目2项、省自然科学基金以及其他纵向科研项目6项。在国内外学术刊物,如《Journal of Global Optimizati...

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