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04

2025-03

计算与应用讨论班——Evolution of Discriminator and Generator Gradients in GAN Training: From Fitting to Collapse

报告人：高卫国（复旦大学）时间：2025年3月14日，14:45-15:45地点：海纳苑2幢210摘要：Generative Adversarial Networks (GANs) are powerful generative models but often suffer from mode mixture and mode collapse. We propose a perspective that views GAN training as a two-phase progression from fitting to collapse, where mode mixture and mode collapse are treated as inter-connected. Inspired by the pa...

04

2025-03

组合数学系列报告——On EKR-type problems for permutation groups

报告人：谢贻林（南方科技大学）时间：2025年3月7日，10:00-11:00地点：海纳苑2幢820摘要：Let G be a transitive permutation group on Omega, a subset S of G is intersecting if for any two elements s_1,s_2 in S, there exists an w in Omega such that w^{s_1}=w^{s_2}, or equivalently s_1s_2^{-1} in G_w for some w in Omega. An intersecting subset S is maximum if S has the maximal size among all intersecting ...

03

2025-03

几何与拓扑讨论班——A characterization of uniruled Kaehler manifolds

报告人：Wenhao Ou，Institute of Mathematics, Chinese Academy of Sciences时间：2025年3月3日，16:45-17:35地点：紫金港校区海纳苑2幢204室摘要：We adapt Bost's algebraicity characterization to the situation of a germ in a compact Kaehler manifold. As a consequence, we extend the algebraic integrability criteria of Campana-Paun and of Druel to foliations on compact Kaehler manifolds. As an ap...

03

2025-03

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)

03

2025-03

计算与应用讨论班——A Model Reduction Method Based on Variable Separation

报告人：李秋齐（湖南大学）时间：2025年3月7日14:00-16:00地点：海纳苑2幢205室摘要：This report presents a novel Variable-Separation (VS) method for model reduction, which simplifies complex systems by effectively decoupling variables and reducing dimensionality. The method is extended to stochastic partial differential equations (SPDEs) through the use of tensor product structures, offerin...

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...

25

2025-02

数论与表示论讨论班

25

2025-02

几何与拓扑讨论班

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...

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