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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Higher dimensional Heegaard Floer homology and Hecke algebras
高维 希加德弗洛尔同调 赫克代数
2023/4/18
Higher dimensional Heegaard Floer homology (HDHF) is a higher dimensional analogue of Heegaard Floer homology in dimension three. It's partly used to study contact topology in higher dimensions. In a ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Multitype branching processes in random environments
随机环境 多类型 分支进程
2023/4/18
We consider a branching process with a random environment, in which the reproduction law of generation $n$ depends on the random environment at time n, unlike a constant distribution assumed in the cl...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Who Shares Risk with Whom？A Dynamic Network Game Analysis
分担风险 动态网络 博弈分析
2023/4/18
We investigate informal risk sharing using a dynamic network game model. In each round, a randomly selected agent experiences a negative shock, and the agent's friends decide whether to provide assist...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Improved Approximation Ratios of Fixed-Price Mechanisms in Bilateral Trades
双边贸易 固定价格机制 近似比率
2023/4/18
We study the performance of fixed-price mechanisms in the bilateral trade problem. We improve the approximation ratios of welfare-optimal mechanisms in several settings. In particular, when we have on...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：不完全信息的多智能体系统博弈
不完全信息 多智能体系统 博弈
2023/4/18
不完全信息博弈是当今的研究热点，也是人工智能领域所关注的。本报告主要针在分布式鲁棒博弈、在线博弈、安全博弈等方面介绍我们近年来的研究成果，我们的研究重点主要是在理论上给出严格的均衡分析或策略分析，为了解决相关问题，采用了近似算法、遗憾度分析、超博弈等进行研究，获得有一些有趣的结果。
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：The de Rham cohomology of p-adic formal schemes
p-adic形式方案 德拉姆 上同调
2023/4/18
Discuss [Bha, §2.5-2.6]. Introduce objects in Definitions 2.5.1 and 2.5.3, and cover Theorem 2.5.6, Corollary 2.5.10, Corollary 2.6.8, and Corollary 2.6.11
This is a periodic series learning seminar ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Quasimorphisms and Bavard's duality
拟同构 巴瓦尔 对偶性
2023/4/18
Quasimorphisms are generalizations of homomorphisms to the real number. Groups with nice aciton on Gromov-hyperbolic spaces often have a large space of quasimorphisms, although such groups can have tr...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：轨道威胁自主规避决策与反馈机制
轨道威胁 自主规避 决策 反馈机制
2023/4/19
从1957年人类第一次发射卫星进入太空，空间目标总数达千万总质量达万吨。太空竞争加剧导致轨道空间日益拥挤, 碰撞风险激增且袭扰增多, 给航天器安全运行带来严峻挑战。报告将探讨太空环境的复杂、动态和不确定性给轨道威胁自主规避决策带来的一些控制问题和数学挑战。
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：Topological optimization and the stable commutator length
拓扑优化 稳定换向器 长度
2023/4/19
It is a relatively recent discovery in geometric topology that optimization problems of certain topological complexity are connected to important geometric and topological information. One example is ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Employment effects in China's dual circulation and firm size heterogeneity
中国双重循环 企业规模 异质性 就业效应
2023/4/19
Based on the newly constructed input-output model that distinguishes firm size categories and the structural decomposition analysis method, this study quantitatively calculates the employment effects ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Hard Lefschetz properties, complete intersections and numerical dimensions
莱夫谢茨数 性质 完整交集 数值尺寸
2023/4/19
In this talk, we discuss the positivity of complete intersections of nef classes, including sufficient and necessary characterizations of the hard Lefschetz property on a compact complex torus and the...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Low regularity conservation laws for the fifth-order modified KdV equations in Besov spaces
Besov空间 五阶修正KdV方程 低正则性 守恒定律
2023/4/19
We get a priori estimates for the fifth-order modified KdV equations in Besov spaces with low regularity which cover the full subcritical range. These estimates are obtained from the power series expa...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Drivers and reduction solutions of food waste
食物浪费 驱动因素 减少解决方案
2023/4/19
In order to understand and identify key issues of food waste and find potential solutions for food waste minimization in food service business, both a questionnaire and a qualitative study were conduc...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On Lehmer's problem
莱默问题 代数闭包 小Weil高度
2023/4/19
Let x be an algebraic number. Lehmer's problem predicts that the product of the degree of x and the Weil height of x is bounded by an absolute constant. The basic idea to tackle this problem is to stu...