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中国科学院心理所揭示海马长轴编码多尺度目标距离（图）
心理所 海马长轴编码 多尺度目标距离
2023/5/18
高效的导航行为需要实时加工当前位置与目的地之间的距离，以便选择最优路线到达目的地。想象一下地铁换乘情景：您不仅需要跟踪线路信息（比如到目的地之前需要换乘几次），而且需要知道一些具体的细节（比如换乘前需要经过多少站）。导航过程需要对当前位置与目的地之间的距离进行多尺度（粗粒度-细粒度）表征，然而其背后的神经机制尚不清楚。
大量研究表明神经振荡与学习记忆之间存在密切关联。中国科学院心理健康重点实验室...
成都信息工程大学应用数学学院高增辉教授
成都信息工程大学应用数学学院 高增辉 教授 代数学
2023/12/4
高增辉，男，教授，生于1979年，中共党员，研究生学历，理学博士学位。2013年7月至2015年8月在南京大学数学系做博士后。四川省第十二批学术和技术带头人后备人选。
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Morse boundaries of Groups
群 Morse边界 群论
2023/5/17
The Morse boundary of a proper geodesic metric space is a generalization of the Gromov boundary of a hyperbolic space. It is a quasi-isometry invariant to study "hyperbolic directions" in the space. T...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：两水平非正规因子设计的构造
两水平 非正规因子 设计 构造
2023/5/6
因子设计可分为正规设计和非正规设计，其中正规设计结构简单，试验次数被限制在2的幂次上。非正规设计结构复杂，但具有较为灵活的试验次数，并可用于估计更多的因子效应。作为一类特殊的非正规设计，平行平面设计受到了越来越多的关注。正规设计也被称为单平面设计，由来自同一家族的几个单平面行并置得到的设计被称为平行平面设计。由三个平行平面构成的平行平面设计是最常用的非正规设计。将其推广到具有f个平面的平行平面设计...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Projective measure without Projective Baire
投射贝尔 投射测量 勒贝格可测
2023/5/6
In this talk, I will give some of the context and a sketch of the proof of the following result which I proved a while ago: It is consistent (relative to a Mahlo catrdinal) that there is a projective ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On the transcendental Morse inequality
先验 莫尔斯不等式 射影流形 可动锥 对偶性
2023/5/4
We report the work “Duality between the pseudoeffective and the movable cone of a projective manifold” of Witt Nystrom, where he proved the transcendental Morse inequality for projective manifolds.
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Fields with a generic multiplicative endomorphism
通用乘法 自同态 域
2023/5/4
The theory of fields expanded by a unary function symbol for a multiplicative endomorphism admits a model-companion, we denote it ACFH. It is a new example of an NSOP1 theory which is not simple. I wi...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：A New Framework for SIMD Bootstrapping in Polynomial Modulus
多项式 模数 SIMD自举 新框架
2023/4/28
In this series of work, we aim at improving the bootstrapping paradigm for fully homomorphic encryption (FHE). Our main goal is to show that the amortized cost of bootstrapping within a polynomial mod...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Fast Numerical Evaluation of Generalized Todd Polynomials
广义托德多项式 的快速数值 评估
2023/4/23
Fast Numerical Evaluation of Generalized Todd Polynomials.
云南农业大学刘兴桂老师发表数学顶刊论文（图）
云南农业大学 刘兴桂 非线性 微分代数方程
2024/2/26
近日，以理学院数学系刘兴桂老师为第一作者、学校为第一标注单位的最新研究成果“Fixed-Time Control for a Class of Nonlinear PH-DAE Systems”在国际顶级学术期刊《IEEE Transactions on Systems, Man, and Cybernetics: Systems》上发表。这是刘兴桂老师继2019年在学术期刊《IEEE Trans...
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：Zeros of complete symmetric polynomials over finite fields
有限域 完全对称 多项式 零点
2023/4/13
Wan and Zhang have recently obtained a nontrivial lower bound for the number of zeros of complete symmetric polynomials over finite fields, and proposed a problem whether their bound can be improved. ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：2-representations and 2-vector bundles
2 向量丛 群论
2023/4/13
In this talk I will introduce some basic concepts in higher category and some details of the construction in the first talk. I will introduce crossed modules and the example of strict 2-representation...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Number of rational points of difference varieties in finite difference fields
有限差分域 差分簇 有理点数
2023/4/13
A difference field is a field with a distinguished automorphism. Automorphisms of a finite field are powers of the Frobenius map. In this talk, I will discuss how to estimate the number of rational po...