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2025

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28

2025-02

几何与拓扑讨论班——Rational curves in complex manifolds

报告人：Wenhao Ou，Institute of Mathematics, Chinese Academy of Sciences时间：2025年3月3日，16：15-16：45地点：紫金港校区海纳苑2幢204室摘要：We review some classical results in birational geometry, particularly on rational curves in complex manifolds. 组织者：Prof. Hana Jia Kong (ZJU)Prof. Song Sun (IASM)Prof. Lei Wu (ZJU)Prof. Weiwei Wu (ZJU)

25

2025-02

数论与表示论讨论班——Estimate for Betti numbers of étale sheaves and applications

报告人：Haoyu Hu (Nanjing University)时间：2025年2月26日16:00-17:00地点：紫金港校区东7数高院一楼报告厅摘要：In this talk, we discuss a result on upper bounds of all Betti numbers of an étale sheaves on a smooth variety of positive characteristic. This bound only depends on the rank and the Abbes-Saito’s logarithmic ramification conductor along the boundary. We will focus on the ideas of the proo...

20

2025-02

School Colloquium——PDE methods in geometric analysis

18

2025-02

应用与计算数学讨论班——Quantum for Science: Efficient Quantum Algorithms for Linear and Nonlinear Dynamics

报告人：刘锦鹏（清华大学）时间：2025年2月21日14：00-16：00地点：海纳苑2幢203室摘要：Fault-tolerant quantum computers are expected to excel in simulating unitary dynamics, such as the dynamics of a quantum state under a Hamiltonian. Most applications in scientific and engineering computations involve non-unitary and/or nonlinear dynamics. Therefore, efficient quantum algorithms are the key for unlo...

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...

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