19
2025-05
分析和微分方程讨论班——Restriction Problems in the Study of Eigenfunctions
报告人:高传伟(首都师范大学)时间:2025年5月21日,10:30-12:00地点:海纳苑2幢202室摘要:In this talk, we will begin with a brief overview of the restriction problem and its related topics, including the Kakeya problem, decoupling theory, and associated methods and techniques. We will then discuss how these problems connect to the study of eigenfunctions.联系人:席亚昆(yakunxi@zju.edu.cn)
19
2025-05
分析和微分方程讨论班——On almost everywhere convergence of planar Bochner Riesz mean
报告人:吴澍坤(印第安纳大学)时间:2025年5月21日,09:00-10:30地点:海纳苑2幢202室摘要:In this talk, I will survey the almost everywhere convergence problem for the Bochner-Riesz means, and discuss a recent result with Xiaochun Li, where we prove that the planar Bochner Riesz means converge almost everywhere for any L^p function in the optimal range, for 5/3<p<2. One main difficulty of this...
18
2025-05
Quantitative maximal diameter rigidity of positive Ricci curvature
报告人:任天寅 博士后(厦门大学)时 间:2025年5月19日(星期一),上午9:30-10:30地 点:海纳苑2幢202摘 要:In Riemannian geometry, the Cheng’s maximal diameter rigidity theorem says that if a complete $n$-manifold $M$ of Ricci curvature, $\Ric_M \ge (n − 1)$, has the maximal diameter $\pi$, then $M$ is isometric to the unit sphere. The main result in this paper is a quantitative...
15
2025-05
计算与应用讨论班——Low-degree finite element methods for transmission eigenvalue problems
报告人:张硕(中科院数学与系统科学研究院)时间:2025年5月23日,14:00-16:00地点:海纳苑2幢203室摘要:The transmission eigenvalue problem is applied in invisibility cloaking, seismic exploration, photonic crystals and meta-surfaces. As a fourth order nonlinear eigenvalue problem with variable coefficient, conforming finite element discretization requires high-degree polynomials. In this talk, we utili...
14
2025-05
Advanced Seminar on Partial Differential Equations
Initiated by Professor Fanghua Lin, the Advanced Seminar on Partial Differential Equations invites distinguished experts and scholars in the field to deliver cutting-edge courses for young researchers and students in China. These courses aim to introduce frontier research directions, broaden academic horizons, and foster exchanges and collaborations between domestic and international researchers. ...
12
2025-05
概率统计讨论班——High-dimensional central limit theorems by Stein's method in the degenerate case
报告人:方笑(香港中文大学)时间:2025年5月24日,10:00-11:00地点:海纳苑2幢206室摘要:In the literature of high-dimensional central limit theorems, there is a gap between results for general limiting correlation matrix $\Sigma$ and the strongly non-degenerate case. For the general case where $\Sigma$ may be degenerate, under certain light-tail conditions, when approximating a normalized sum of $n$...