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2024年1月26日,国家自然科学基金基础科学中心项目“流形上的几何、分析和计算”2023年项目进展暨战略发展研讨会在中国科学院数学与系统科学研究院(以下简称数学院)召开。国家自然科学基金委(以下简称基金委)党组成员、副主任江松院士、数理科学部数学处赵桂萍副处长、数理科学部综合与战略规划处陈国长副处长、数理科学部数学处王小虎项目主任,咨询专家王小云院士、张平文院士、张伟平院士,以及周向宇、郭雷、席...
近日,中国人民大学高瓴人工智能学院师生共有一篇论文被IEEE TIT录用,IEEE Transactions on Information Theory(IEEE TIT)期刊是中国计算机学会(CCF)推荐的A类期刊,是国际公认的理论计算机科学与信息论领域的顶级期刊,被很多人认为是工程学理论方向的天花板,享有卓越的学术声誉。这是人大高瓴人工智能学院师生首次在该期刊发表论文。
In this talk, we will introduce some applications of Nevanlinna theory to “arithmetic properties” of exponential polynomials and some special cases of Green-Griffiths-Lang conjecture with moving targe...
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...
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...
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...
In this talk we show that bounded harmonic functions are constant on gradient shrinking Ricci solitons with CSC by frequency function method. As an application, we show that the space of harmonic func...
Using the results presented in the previous lecture, namely the generalization of the Tsirelson's theorem [2] to mixed volumes, we calculate the mixed volume of the closed convex hulls of the two orth...
Let K be a convex compact subset of a separable Hilbert space H. One of the most important geometric characteristics of K is its intrinsic volumes. In the finitedimensionalcase (K ? R^d), the intrinsi...
Given a graph G with weight function w and an acyclic edge subset E', the partial inverse spanning tree problem on (G, w; E') is to find a new weight function w* so that E' can be extended to a maximu...
2023年,北京大学数学学科迎来成立110周年,百十年经风雨而续薪火,再回首忆往昔而向未来。站在这个有着特别意义的节点上,我们推出了“110周年庆系列文章”栏目,以人物专访、回忆征稿等形式,回望北大数学学人一路走来的足迹以及学科发展历程。
We consider the distributed optimization to minimize a sum of smooth and strongly convex local objective functions over directed graphs. Using row- and column-stochastic weights, we propose a family o...
In this talk, we shall use fill-in to give a new description of the positive mass theorem. By using this, we shall show that PMT on AH manifolds implies PMT on AF manifolds. This talk is based on the ...
We report the work of Boucksom-Demailly-Paun-Peternell, which shows that a holomorphic line bundle on a projective manifold is pseudoeffective iff its degree on any member of a covering family of curv...
An LG model (M, f) is given by a noncompact complex manifold M and the holomorphic function f defined on it, which is an important model in string theory. Because of the mirror symmetry conjecture, th...

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