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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Ambartzumian combinatorial formula and its applications
Ambartzumian 组合公式 有限线段集
2023/11/6
Consider a finite set of segments on a plane with endpoints in the general position. In [1] Sylvester posted a problem of finding the measure of the set of lines intersecting all of this segments. In ...
2023年5月22日，《Nature Neuroscience》期刊在线发表了中国科学院脑科学与智能技术卓越创新中心（神经科学研究所）严军研究组题为《Single neuron analysis of dendrites and axons reveals the network organization in mouse prefrontal cortex》的研究论文。该研究工作通过重构和分析小...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Introduction to Allard’s regularity theorem（II）
阿拉德 正则性定理 导论
2023/5/17
We continue to discuss the proof of the Allard regularity theorem. In the second presentation, we will focus on the harmonic approximation and the iteration argument for getting the decay of the tilt-...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Introduction to Allard’s regularity theorem（I）
阿拉德 正则性 定理 导论
2023/5/10
In this short seminar, we will discuss the proof of the Allard regularity theorem, which is an $\epsilon$-regularity theorem for the mean curvature equation in the Geometric Measure Theory(GMT) settin...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Multiple solutions for semilinear subelliptic Dirichlet problem
半线性 次椭圆 狄利克雷问题 多种解
2023/4/27
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Multiple solutions for semilinear subelliptic Dirichlet problem。
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Identities, inequalities and congruences for odd ranks and k-marked odd Durfee symbols
奇数秩 k标记 奇数杜菲符号 恒等式 不等式 全等
2023/4/23
In 2007, Andrews introduced the odd rank of odd Durfee symbols. Let N^0 (m,n) denote the number of odd Durfee symbols of n with odd rank m, and N^0 (r,m;n) be the number of odd Durfee symbols of n wit...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Supercongruences involving Motzkin numbers and central trinomial coefficients
莫茨金数 中心三项式系数 超同余
2023/4/21
In this talk, we investigate congruence properties for Motzkin numbers and central trinomial coefficients. Let M_n and T_n denote the nth Motzkin number and the nth central trinomial coefficient respe...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Borel—Wei—Bott theorem for Derived Flag Schemes
派生 标志方案 博雷尔-魏-博特定理
2023/4/13
The framework of derived algebraic geometry (DAG), developed by Toen-Vezzosi, Lurie and many others, allows us to extend Grothendieck’s theory of flag schemes of sheaves to the cases of complexes. In ...
胡立群，男，1981年11月出生，副教授、硕士生导师，博士学历，2016年6月博士毕业于山东大学。联系方式：huliqun@ncu.edu.cn。江西省杰出青年基金获得者，2017年9月至2018年9月赴英国布里斯托大学访学一年。主要从事解析数论方向的研究工作，特别是在Manin猜想中关于双二次超曲面中有理点的分布问题研究上取得了突破，相关成果发表在数学领域著名期刊“Advances in Mat...
钟展良(Chan-Liang Chung)，男，福州大学数计学院副教授，1982年出生於高雄市，2013年获台湾中正大学数学研究所理学博士，毕业后在台湾中央研究院数学研究所担任2年博士后研究，2018年作为福建省紧缺急需人材引进到福州大学，现任教于数学与统计学院，研究领域为数论与组合学，方向为multiple zeta functions、polynomial sequences与homomorp...
唐丽丹，女，1983年生，博士，副教授。研究方向：代数表示论；办公室：数统学院4号楼207；电子邮件：lidantang@126.com。福州大学第十六届青年教师“最佳一节课”竞赛二等奖。国家自然科学基金青年项目，编号：11601084，范畴Recollement的研究，2017/01-2019/12，19万，主持。国家自然科学基金数学天元项目，编号：11126268，导出范畴的Fourier-M...
分布式最小二乘收敛性（李婵颖）
分布式 最小二乘 收敛性
2023/4/10
This note focuses on the convergence problem of a distributed recursive least squares (RLS) estimator, which converges fast in many circumstances. We find that the convergence behavior of this distrib...
We prove that every rigid C*-bicategory with finite -dimensional centers (finitely decomposable horizontal units) can be realized as Connes' bimodules over finite direct sums of II_1 factors. In parti...