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2025

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10

2025-01

计算与应用讨论班——Topology-Preserving Computation for Ideal Magnetic Relaxation

报告人：胡凯博研究员（爱丁堡大学）时间：2025年1月15日（星期三），下午2:00-4:00地点：海纳苑2幢205摘要：A fundamental problem in plasma physics is understanding the evolution of magnetic fields with given initial data. Questions include whether a stationary state exists and, if so, what properties it possesses. The Parker hypothesis states that for ‘almost any initial data’, the...

10

2025-01

计算与应用讨论班——Conditions for Constructing $C^r$ Conforming Finite Element Space in Any Dimension

报告人：林挺（北京大学）时间：2025年1月14日（星期二），下午2:00-4:00地点：海纳苑2幢205摘要：In finite element methods, $C^r$ conforming finite elements can be used to solve high-order elliptic equations. When constructing $C^r$ conforming finite elements on general triangulations, extra smoothness is imposed on lower - dimensional faces such as vertices and edges. For example, wh...

08

2025-01

辛拓扑与物理讨论班——On Isotopy Problems of Lagrangian Spheres on Algebraic Surfaces

报告人：刘思阳（University of Southern California）时间：2025年1月9日，16:15-17:30地点：海纳苑2幢102摘要：In this talk, I'll introduce the isotopy problems for Lagrangian spheres in algebraic surfaces. Smooth isotopy problems on rational surfaces are resolved by work of Matthew Borman, Tian-Jun Li and Weiwei Wu, while for non-rational surfaces little is known. I'll present my recent work w...

06

2025-01

Approximate Message Passing for Rotationally-Invariant Models: A Unified Framework and Applications to Spiked Models

报告人：马俊杰时间：2025/01/17 13:00-17:00地点：线上报告腾讯会议ID：321-587-300摘要：In the first part of this talk, we present a unified framework for constructing Approximate Message Passing (AMP) algorithms for rotationally-invariant models. By employing a general iterative algorithm template and reducing it to long-memory Orthogonal AMP (OAMP), we...

03

2025-01

A new proof of the Eichler Shimura relation

Speaker: Pol van Hoften (Vrije Universiteit Amsterdam)Time: 2025-01-15，10:00Location: 海纳苑2幢210Abstract: Associated to a modular form f is a two-dimensional Galois representation whose Frobenius eigenvalues can be expressed in terms of the Fourier coefficients of f, using a formula known as the Eichler--Shimura congruence relation. This relation was proved by Eichler--Shimu...

03

2025-01

Homological method in branching laws

Speaker: 陈睿（浙江大学）Time: 2025-01-07，16:00Location: 海纳苑2幢210Abstract: Understanding how a representation decomposes when restricted to a 'nice' subgroup is a problem of fundamental interest in representation theory. In this talk, following D. Prasad, we will discuss some recent results of the homological method in branching laws, especially a vanis...

02

2025-01

浙大-西湖几何分析讨论班——Construction of Morse Flow Lines between Self-expanders

报告人：陈乐天（University of Tennessee, Knoxville）时间：2025年1月6日（星期一），下午4:00-5:00地点：海纳苑2幢203摘要：One of the central questions in the study of mean curvature flow (MCF) is to determine whether one can flow past singularities. For asymptotically conical singularities, self-expanders model the potential continuations of MCFs past singularities. However, due to ...

02

2025-01

Problems related to pointwise convergence for Schrodinger groups

Speaker: 邓清泉（华中师范大学）Time: 2025-01-07，10:20-11:20Location: 海纳苑2幢205Abstract: In this work, we focus on the maximal estimates and pointwise convergence for Schrodinger group $e^{itH}$ with potentials in dimension one, where $H=-\Delta+V$. Under some assumptions on potential V, by using the distorted Fourier transform, as well as the function spaces associat...

02

2025-01

Some progress on dispersive estimates of higher order elliptic operator

Speaker: 尧小华（华中师范大学）Time: 2025-01-07，9:15-10:15Location: 海纳苑2幢205Abstract: The dispersive estimates of Schr\”odinger operators are interesting topics, which play fundamental roles in the wellposedness of nonlinear dispersive equations and the stability of solitary waves. In this talk, I will recall some classical works on Kato smoothing, Strichartz ...

31

2024-12

Mean curvature flow and applications

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