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Siegel zeros are real zeros of L-functions that are very close to 1, the non-existence of which was conjectured as a direct consequence of the Grand Riemann Hypothesis (GRH). In this talk, we will sta...
This talk will survey some results for the two- or three-space dimensional compressible Euler equations. We shall present non-uniqueness results of weak entropy solutions using convex integration and ...
报告的内容是关于调和分析中的decoupling不等式及其在经典Kakeya问题、Wolff的circular Kakeya问题以及分形集的正交投影问题中的应用。
丢番图逼近中经典的Dirichlet逼近定理给出了用有理向量逼近给定实向量时误差与分母之间的关系。1969年前后,Davenport和Schmidt定义了Dirichlet可改进向量,这些实向量被有理向量逼近时误差比Dirichlet逼近定理给出的更小;他们证明了这些向量构成了R^n中的一个Lebesgue零测集,并提出了如下问题:R^n中光滑曲线上的Dirichlet可改进向量是否仍然是零测的。...
The motivation to study manifolds with scalar curvature bounded from below comes from Mathematical General Relativity and Riemannian Geometry. In this talk, I'll first briefly introduce some problems ...
The Ricci flow is a powerful tool in geometry to construct the canonical metric on a given manifold. It can be viewed as a nonlinear heat flow of the Riemannian metric and may develop finite time sing...
Chromatic homotopy theory uses the algebraic geometry of smooth 1-parameter formal groups to separate stable homotopy theory into periodic layers. The 1st layer recovers the image of Adams’ J homomorp...
We explore time-varying networks for high-dimensional locally stationary time series, using the large VAR model framework with both the transition and (error) precision matrices evolving smoothly over...
Stochastic wave equations describe wave motion in random environments that is common in realistic situations. In this talk, I will present our recent studies on the inverse source and potential proble...
数字经济时代,人们的博弈互动关系呈现出复杂的网络特征。近年来网络博弈理论发展迅猛,并在群体决策、舆情传播、投票选举等方面有广泛的应用。网络博弈中的一个关键问题是网络结构如何影响和个体和群体行为演化。本报告将首先介绍网络上的演化博弈相关的基本概念,然后介绍报告人和合作者在对称和非对称网络演化博弈动力学方面的一些研究。最后在此基础上讨论博弈互动网络结构和信息网络结构在不同博弈场景中,对个体和群体行为特...
供应链与贸易网络的存在保障了生产资料与商品的流转,促进了社会经济的发展与繁荣。然而,近几年因地缘政治、战争、疫情等极端情形的冲击,供应链网络和国际贸易网络的正常运转受到了极大的挑战,如何衡量和应对极端冲击对两者的影响成为吸引学者关注的重点,本报告将从最优化模型构建与分析的角度出发对该问题进行探索。
One can elucidate integrability properties of ODEs by knowing the existence of second integrals. However, little is known about how they are preserved, if at all, under numerical methods. In this talk...
This paper develops a novel method for policy choice in a dynamic setting where the available data is a multivariate time series. Building on the statistical treatment choice framework, we propose Tim...
Tool path planning is a crucial factor of computer-aided design and manufacturing (CAD/CAM). To generate suitable tool paths, the previous methods often transform the problem into local or global opti...
In experimental design, a common problem seen in practice is when the result includes one binary response and multiple continuous responses. However, this problem receives scant attention. Most studie...

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