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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Rigid local systems from Geometric Langlands
几何 朗兰兹 刚性局部系统
2023/4/17
Rigid local systems over algebraic curves are those local systems determined by their local monodromies. They include many important classical local systems, such as those obtained from Bessel equatio...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Inverse problem for the harmonic measure
谐波测量 反问题 双曲群
2023/4/17
Sample paths of a random walk on a hyperbolic group are known to converge to the Gromov boundary. The distribution of the exit point is called the harmonic measure. I will discuss the following invers...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Non-abelian Derived Categories and Derived Schur and Weyl Functors
非阿贝尔派生范畴 派生舒尔 外尔函子
2023/4/13
We'll start with reviewing Quillen and Lurie's theory of non-abelian derived categories (also known as the "animation" theory). Following that, we will apply this theory to generalize the classical Sc...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Nonlinear stability of travelling wave solution of the Navier-Stokes-Poisson system for ions with $\gamma$-law pressure
纳维-斯托克斯-泊松系统 行波解 $γ$定律压力离子 非线性稳定性
2023/4/17
We consider the existence, uniqueness and nonlinear stability of the travelling wave solution of the Navier-Stokes-Poisson system with density-dependent viscosity for ions. Firstly, we derive a system...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：An Improved Unconstrained Approach for Bilevel Optimization
双层优化 无约束 非凸强凸
2023/4/17
We focus on the nonconvex-strongly-convex bilevel optimization problem (BLO). In this BLO, the objective function of the upper-level problem is nonconvex and possibly nonsmooth, and the lower-level pr...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：应用视角下的代数拓扑
应用视角 代数拓扑 复形三角剖分
2023/4/13
本报告从应用的视角对代数拓扑研究领域给予概述性介绍，报告将分三个部分。在第一部分，我们从单纯复形三角剖分入手，介绍代数拓扑在数据科学、复杂网络等研究领域应用的动态。在第二部分，我们将根据代数拓扑的基本问题（有限复形的同伦分类）展开讨论，了解代数拓扑的学科内涵，以及同伦群对代数拓扑的重要性。在报告的最后部分，我们将概述同伦群的一些研究成果。
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：Calogero-Moser空间的辛全形稠密性
Calogero-Moser空间 辛全形 稠密性
2023/4/13
和在复几何有不少应用的稠密性相比，目前没有很多辛稠密的Stein流形。探讨稠密性在辛范畴的推广，需要足够例子。第一个例子是偶维复欧式空间，Forstneric证明了辛切变生成它的辛自构群的一个稠密子群。在这个报告我会介绍稠密概念的来源，辛稠密的定义和特征，以及作为其推论的辛版Andersen-Lempert定理（在紧致集上用辛自构映射模拟向量场的局部相流）。最后介绍Calogero-Moser空间...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Pseudorandomness of Sato-Tate Distributions for Elliptic Curves
椭圆曲线 佐藤-泰特分布 伪随机性
2023/4/13
Equidistribution is an important theme in number theory. The Sato-Tate conjecture, which was established by Richard Taylor et.al. in 2008, asserts that given an elliptic curve over Q without complex m...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Convergence in probability from moderate interacting SDE system to degenerate Keller-Segel systema
中度相互作用 SDE系统 凯勒-西格尔系统 概率收敛性
2023/4/13
In this talk I will present one of our recent work in rigorous derivation of the degenerate parabolic-elliptic Keller-Segel system. We establish the classical solution theory of the degenerate parabol...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Ordering factorial experiments
排序 阶乘实验 名义主效应分量-位置模型
2023/4/13
In many practical experiments, both the level combinations of factors and the addition orders will affect the responses. However, virtually no construction methods have been provided for such experime...
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...
This is a periodic series learning seminar organized by Koji Shimizu and Shizhang Li on prismatic F-gauges held on each Monday at MCM110. More info can be found on the website.
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Entropy-Dissipation Informed Neural Networks for McKean-Vlasov type PDEs
McKean-Vlasov型 偏微分方程 熵耗散 信息神经网络
2023/4/13
We extend the concept of self-consistency for the Fokker-Planck equation (FPE) [Shen et al., 2022] to the more general McKean-Vlasov equation (MVE). While FPE describes the macroscopic behavior of par...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：O(2)-symmetry of 3D steady gradient solitons
O(2) 三维稳态 梯度孤子 对称性
2023/4/13
In this talk, we talk about the proof of the O(2)-symmetry of 3D steady gradient solitons. The proof consists of four parts: the asymptotic analysis at infinity, the symmetry improvement theorem, the ...