搜索结果: 16-30 共查到“会议中心 数学分析”相关记录44条 . 查询时间(2.202 秒)
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Arnold conjecture and advances in Floer theory
阿诺德猜想 弗洛尔理论 哈密顿微分同胚
2023/5/4
In 1960s, Arnold conjectured that the number of fixed points of a Hamiltonian diffeomorphism of a symplectic manifold should be (much) greater than its counterpart for a general diffeomorphism. This c...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On forward/inverse spectral problems, approximation problems and multiple integral formulae for non-smooth solitons
非光滑孤子 正/逆谱问题 近似问题 多重积分公式
2023/4/28
A class of nonlinear integrable PDEs admit non-smooth solitary wave solutions as certain special weak solutions. These solutions can be used to capture main attributes of solutions of these PDEs, e.g....
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Solving hidden number problem with lattice sieving
晶格筛分 隐数问题 格约简算法
2023/4/28
Lattice reduction algorithms have been proved to be one of the most powerful and versatile tools in public key cryptanalysis. In this talk, we primarily concentrate on lattice attacks against (EC)DSA ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：带约束的差分隐私
带约束 差分隐私 中国科学院数学与系统科学研究院
2023/4/13
本报告首先主要介绍差分隐私的基本知识，然后介绍最近关于带约束差分隐私的工作。
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Challenges and Beneficiations of differential privacy in transfer learning and federated learning
迁移学习 联邦学习 差分隐私
2023/4/13
Differential privacy is one of the most common techniques in privacy-preserving machine learning due to its rigorous math definition and theoretical results. Transfer learning and Federated learning a...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Meromorphic differentials and Teichmüller space
亚纯微分 泰希米勒空间 全纯二次微分
2023/4/17
In the late 1980s, Nigel Hitchin and Michael Wolf independently discovered a parametrization of the Teichmüller space of a compact surface by holomorphic quadratic differentials. In this talk, I will ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Uniqueness of BV Solution for Compressible Euler Equations
可压缩 欧拉方程 BV解 唯一性
2023/4/17
Compressible Euler equations are a typical system of hyperbolic conservation laws, whose solution forms shock waves in general. It is well known that global BV solutions of system of hyperbolic conser...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Nonsplitting of the Hilbert Exact Sequence and the Principal Chebotarev Density Theorem
希尔伯特精确序列 主切 博塔列夫密度定理 非分裂
2023/4/18
Let $K/k$ be a finite Galois extension of number fields, and let $H_K$ be the Hilbert class field of $K$. We find a way to verify the nonsplitting of the short exact sequence
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On the preservation of second integrals by RK methods
RK方法 保存 第二积分
2023/4/25
One can elucidate integrability properties of ODEs by knowing the existence of second integrals. However, little is known about how they are preserved, if at all, under numerical methods. In this talk...
2022年12月9日上午，国家重点研发计划“数学和应用研究”重点专项“可解释深度学习的微分嵌入与最优传输理论”项目启动会暨实施方案论证会在西安交通大学顺利召开。项目咨询专家西安交通大学徐宗本院士、中国科学院数学与系统科学研究院高小山研究员、上海科技大学生物医学工程学院院长沈定刚教授、中山大学朱熹平教授、纽约州立大学石溪分校顾险峰教授、北京大学张志华教授参会指导。西安交通大学副校长别朝红教授、科技部...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Weak multisymplectic spectral integrators with a resolution of Gibbs phenomenon
吉布斯现象 分辨率 弱多辛谱 积分器
2023/4/28
We will report our recent work on weak multisymplectic spectral integrators for a wide range of nonsmooth Hamiltonian partial differential equations, which appear in quite a few physical applications ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Covariant Riesz transform on differential forms for $p\in (1,2]$
$pin （1，2]$ 微分形式 协变里斯变换
2023/4/28
In this talk, I will introduce the recent results on $L^p$-boundedness of covariant Riesz transform on differential forms on a class of non-compact weighted Riemannian manifolds for $p\in (1,2]$ witho...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Contact discontinuities in finitely long nozzles
有限长喷嘴 接触 不连续性 可压缩欧拉流
2023/5/4
There can be contact discontinuities in the nozzle for the compressible Euler flow. In this talk, we will talk about the cases of the subsonic-supersonic and supersonic-supersonic contact discontinuit...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Stokes phenomenon and isomonodromy deformation equations: Explicit solution to the Riemann-Hilbert problem and integrability of the isomonodromy equation
斯托克斯现象 等单向变形方程 黎曼-希尔伯特问题 显式解 单场方程 可积性
2023/5/6
Stokes phenomenon states that the asymptotic behavior of functions can differ in different regions of the complex plane, and that these differences can be described in a quantitative way. These quanti...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Stokes phenomenon and isomonodromy deformation equations: An introduction
斯托克斯现象 等单向变形方程 斯托克斯矩阵
2023/5/6
Stokes phenomenon states that the asymptotic behavior of functions can differ in different regions of the complex plane, and that these differences can be described in a quantitative way. These quanti...