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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Proofs of two or infinity conjectures for Reeb orbits and closed geodesics
Reeb轨道 闭测地线 两个 无穷大猜想
2023/11/29
In this talk, we give a proof of the conjecture of Hofer-Wysocki-Zehnder published in 2003 asserting that a smooth and autonomous Hamiltonian flow on R4 has either two or infinitely many simple period...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：The Proper Basis for Zero-dimensional Polynomial Ideals
零维 多项式理想 正确基 Grobner基
2023/11/29
The Grobner basis for a zero-dimensional polynomial ideal comprises a univariate polynomial in the least variable. The elimination process in Buchberger's algorithm unnecessarily involves the least va...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On a Bogomolov type vanishing theorem
Bogomolov型 消失定理 代数几何
2023/11/29
The Bogomolv theorem holds great importance in algebraic geometry, particularly in the field of birational geometry. During this presentation, we will introduce our recent work on a variant of the Bog...
研究确定布尔可满足性问题计算复杂性下限
布尔 可满足性问题 复杂性下限
2023/12/14
中国科学院金属研究所研究员张志东在计算复杂性理论研究方面取得重要进展，确定了布尔可满足性问题的计算复杂度下限。近日，相关研究成果发表于Mathematics。
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars： On the dimension of limit sets on the real projective plane via stationary measures
实射影平面 极限集 维数 平稳测度
2023/11/29
I will present a dimension jump result of limit sets on RP^2 for representations of surface groups in SL(3,R). For Anosov representations, we prove the equality between the Hausdorff dimension and the...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Gibbons' conjecture and Liouville theorem for master equations
主方程 Gibbons猜想 Liouville定理
2023/11/29
In this talk, we will discuss some of our recent work on the master equation involving the fully fractional heat operator. Specifically, we will present two main results. The first one pertains to a g...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Algebraic Structures from Integral Equations
积分方程 代数结构 代数分析
2023/11/29
Even though the research style of algebra and analysis are quite different, many algebraic structures naturally arose from analysis, differential equations and integral equations, inspiring further ap...
郭位，香港城市大学校长及校杰出教授，目前担任IEEE Transactions on Reliability 主编。郭教授于2000年当选美国国家工程院院士，后又获选为台湾中央研究院院士及中国工程院外籍院士。他同时也是国际品管学管学院（IAQ）院士，国际工业工程学（IIE）会员、美国品管学会（ASQ）会员、运筹学和管理学研究协会（INFORMS）、美国标准协会（ASA）及国际电机电子工程学会（IE...
中国人民大学高瓴人工智能学院召开“第二届计算经济学研究与应用”研讨会（图）
计算经济学 函数 模型 区块链
2024/1/31
2023年11月8日，由中国人民大学高瓴人工智能学院主办的第二届计算经济学研究与应用研讨会顺利召开。北京大学前沿计算研究中心讲席教授邓小铁，中科院计算所前瞻研究实验室、处理器芯片重点实验室研究员孙晓明，中国科学院数学与系统科学研究院研究员陈旭瑾，清华大学计算机科学与技术系教授陈婧，中国科学院计算技术研究所研究员张家琳，北京交通大学经济管理学院教授曹志刚，谷歌研究科学家左淞，中国科学院数学与系统科学...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On the dimension of limit sets on the real projective plane via stationary measures
实射 影平面 极限集 维数 平稳测度
2023/11/15
I will present a dimension jump result of limit sets on RP^2 for representations of surface groups in SL(3,R). For Anosov representations, we prove the equality between the Hausdorff dimension and the...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Rooted trees, Hopf algebras and rough paths
有根树 Hopf代数 粗路径
2023/11/15
In this talk, we first recall some classical Hopf algebras on rooted trees, including Connes-Kreimer Hopf algebra and Loday-Ronco Hopf algebra. Then we give a combinatorial description of the coproduc...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Prescribing sigma-2 curvature and boundary mean curvature on compact manifolds
紧致流形 sigma-2曲率 边界平均曲率
2023/11/15
On a smooth compact manifold of dimensions three and four with totally non-umbilic boundary，imposing non-negativity assumptions on curvatures of the background metric, we establish that there exists a...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Projective Manifolds with Pseudoeffective Cotangent Bundle II
伪有效 余切丛 射影流形
2023/11/15
The Keller-Segel system is known to exhibit rich dynamical behaviors including singularity formation with self-similarity structure. The talk presents recent developments in the study of blowup for th...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Algebraic topology of digraphs and its applications
有向图 代数拓扑 图论
2023/11/15
High-order interaction occurs in various complex network, such as social network, bionetwork and network medicine. Comparing with that there are a lot of well-developed math tools (from graph theory) ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On deformation limit in deformation theory
变形理论 变形极限 射影流形
2023/11/15
This talk mainly concerns the projective, Moishezon and Kahler loci of a family. We first introduce four conjectures on this topic and then the works of the deformation limit of projective manifolds a...