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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...

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——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...

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...

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...

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 ...

19

2024-12

浙大-西湖几何分析讨论班——Uniqueness of Kahler-Ricci Flow Limit

报告人：张州教授（悉尼大学）时间：2024年12月26日（星期四），下午3:00-4:00地点：海纳苑2幢102摘要：we discuss the fundamental/elementary problem on the uniqueness of Kahler-Ricci flow limit. The low regularity consideration is particularly convenient. There is also motivation from more recent study on the singularity type. Accidentally, what we’ve confirmed for the finite and infi...

19

2024-12

辛拓扑与物理讨论班——A Morse A-infinity model for the higher-dimensional Heegaard Floer homology of cotangent fibers

报告人：袁天宇（宁波东方理工大学）时间：2024年12月19日（周四）11:00地点：海纳苑2幢105室摘要：Given a smooth closed n-manifold M and a k-tuple of basepoints in M, we define a Morse-type A∞-algebra called the based multiloop A∞-algebra and show the equivalence with the higher-dimensional Heegaard Floer A∞-algebra of k disjoint cotangent fibers of T*M. 联系人：吴惟为（wwwu9693@zju.edu.cn）

16

2024-12

分析和微分方程讨论班——Singular scaling limits from kinetic to macroscopic models: self-organization system vs Boltzmann

报告人：江宁（武汉大学）时间：2024年12月6日（周五）14:30-15:30地点：海纳苑2幢101摘要：In this talk, we introduces two types of singular scaling limits: self-organization kinetic (SOK) and its limit to self-organization hydrodynamics (SOH), and the more traditional Boltzmann equation and its fluid limits. We will review what are singular scaling limits are, the similarities and differences between ...

16

2024-12

浙大-西湖几何分析讨论班——Quantitative geometric inequalities in $\mathbb R^n$: Power growth other than 2

报告人：张翼（中科院）时间：2024年12月17日（星期二），下午4:00-5:00地点：海纳苑2幢206摘要：In the stability of geometric inequalities, usually one gets a growth with power $2$ as a lower bound for the difference of energy. For example, a remarkable result by Fusco, Maggi, and Pratelli says that, for any set of finite perimeter $E \subset \mathbb{R}^n$ with $|E| = |B|$ and a baryc...

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