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In 2012, Boroczky, Lutwak, Yang, and Zhang posed the log-Brunn-Minkowski conjecture, which represents an enhanced version of the classical Brunn-Minkowski inequality for convex bodies. We will recall ...
In 1974, Jeffrey Rauch proposed the hot spot conjecture for the second eigenfunctions of the Neumann eigenvalue problems. We will recall some of its development and related studies in recent years. We...
In the past twenty years, there have been huge developments in the study of the Kardar-Parisi-Zhang (KPZ) universality class, which is a broad class of physical and probabilistic models including one-...
A branching random walk is a system of particles, where each particle gives birth to new particles of the next generation, which move on $\mathbb R^d$ according to some probability law. In this talk, ...
The R-motivic stable homotopy category has a close connection to the C2-equivariant category via the C2-equivariant Betti realization map. For the bigraded homotopy groups, the C2-equivariant spectra...
In this talk, I will discuss the stability conditions for a free boundary problem of compressible Euler equations coupled with a nonlinear Poisson equation of electric potential. Under those stability...
In markets for indivisible resources such as workers and objects, subsidy and taxation for an agent may depend on the set of acquired resources and prices. This paper investigates how such transfer po...
It is well known that the substitutes condition plays a key role in guaranteeing the existence of competitive equilibrium in discrete economies. It also brings useful structure to equilibria, and enge...
Although advanced statistical models have been proposed to fit complex data better, the advances of science and technology have generated more complex data, e.g., Big Data, in which existing probabili...
Let G be a finite abelian group. If f: G → C is a nonzero function with Fourier transform f , the Donoho-Stark uncertainty principle states that|supp(f)||supp(f )|≥|G|. The purpose of this talk is two...
In this talk I will recall Richberg's extension theorem of plurisubharmonic functions and discuss its application in Kahler geometry.
In this talk, we will talk about a local method to find compositional inverses of all PPs, some new PPs and their compositional inverses are given.
在微分几何中,和乐群描述了向量沿闭曲线平移后与原向量的差别,反映了黎曼流形的整体微分几何性质。Berger对黎曼流形可能的和乐群进行了分类。特殊特殊和乐群黎曼流形是不同于SO(n)的可定向黎曼流形,包括Calabi-丘流形、超Kahler流形、G2流形和Spin(7)流形。这些特殊特殊和乐群黎曼流形本身具有极其丰富的结构,与多个数学分支产生深刻的联系,并且在物理上也非常重要。在此报告中,我们将介绍...
2020年Greene和Lobb利用复二维空间的拉格朗日子流形分类简洁地解决了光滑约当曲线的矩形钉子存在性问题。我们将以此为引,从定性和定量两个角度介绍拉格朗日子流形分类的进展,应用和问题。
Mean curvature flow is the fastest way to decrease the area of surfaces. It is the model in many disciplines such as material science, fluid mechanism, and computer graphics. The translators are a spe...

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