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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：The study of derived representation type via topological and homological methods
拓扑 同调 派生表示类型
2023/11/13
In these two talks, some results on derived representation type via topological and homological methods will be introduced: (1) Two geometric models for graded skew-gentle algebras will be introduced ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：The Cohen-Macaulay Auslander algebra of string algebras
串代数 Cohen—Macaulay—Auslander代数 拓扑 同调
2023/11/13
In these two talks, some results on derived representation type via topological and homological methods will be introduced: (1) Two geometric models for graded skew-gentle algebras will be introduced ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Introduction to Bourguignon-Gauduchon's variation formula for Dirac operators
Dirac算子 Bourguignon-Gauduchon 变分公式
2023/11/13
我们将介绍由Bar-Gauduchon-Moroianu给出的spin流形上Dirac算子在度量变化时一阶变分公式的证明。作为应用，我们将计算Dirac算子沿Ricci flow的一阶变分。
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：A link invariant from higher-dimensional Heegaard Floer homology
高维 Heegaard-Floer同调 链接不变量
2023/11/13
We define a higher-dimensional analogue of symplectic Khovanov homology. Consider the standard Lefschetz fibration of a 2n-dimensional Milnor fiber of the A_{k-1} singularity. We represent a link by a...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Recent progress on holomorphic Morse inequalities
全纯 Morse不等式 CR流形
2023/11/13
In this talk, we present recent progress on holomorphic Morse inequalities. We first review the history and motivation. Then we introduce recent results on CR manifolds. Finally we give a uniform proo...
求解偏微分方程的预处理迭代方法是计算数学近四十年的一个热门研究方向， 这一方法得以成功的关键是有效预条件子的构造。有效预条件子的构造和分析是技巧性很强的工作， 尤其是对于具强间断系数的偏微分方程， 比如对此情形多层网格预条件子和重叠区域分解预条件子的最优收敛性在理论上一直没有彻底弄清楚。在2007年R. Hiptmair和J. Xu对麦克斯韦方程提出了“辅助空间预条件子”， 这种预条件子曾引起国际...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：t-stabilities and t-structures for the weighted projective line of type (2)
加权投影线 t-稳定性 t-结构
2023/11/13
We focus on the study of t-stabilities on a triangulated category in the sense of Gorodentsev, Kuleshov and Rudakov. We give an equivalent description for the nest t-stabilities on certain triangulate...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Bubbling and extinction for some fast diffusion equations in bounded domains
有界域 快速扩散方程 气泡 消光
2023/11/13
Motivated by the Wisconsin octupole experiments on anomalous diffusion of hydrogen plasma across a purely poloidal octupole magnetic field, Berryman-Holland 1980 proved the stability of separable solu...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Singleton mesh patterns in multidimensional permutations
多维排列 Singleton网格模式 排列模式
2023/11/13
Permutation patterns is a popular area of research introduced in 1968, but with roots going to the work of Leonhard Euler in 1749.
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Liouville Properties on gradient shrinking Ricci solitons with constant scalar curvature
常标量 曲率梯度收缩 Ricci孤子 Liouville性质
2023/11/13
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...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：The Cerednik--Drinfeld uniformization theorem
Cerednik-Drinfeld 一致化定理 Drinfeld半平面 Shimura曲线
2023/11/13
In this talk we relate the Drinfeld half plane studiedso far in the seminar with certain Shimura curves.which are of more global arithmetic interest. Therelation is expressed in a certain uniformizati...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Dean-Kawasaki equation with singular non-local interactions：well-posedness and large deviations
奇异非局部 相互作用 Dean-Kawasaki方程 适定性 大偏差
2023/11/13
The Dean-Kawasaki equation with non-local singular interactions and correlated noise will be introduced, which describes the evolution of the density function for a system of finitely many particles g...
中国人民大学高瓴人工智能学院召开“大模型与生物医药”学术研讨会（图）
大模型 生物医药 学术研讨会
2024/1/31
2023年9月25日，由中国人民大学高瓴人工智能学院主办的“大模型与生物医药”学术研讨会顺利召开。中国人民大学高瓴人工智能学院执行院长文继荣教授出席会议并致辞。与会专家有沙特阿拉伯阿卜杜拉王国科技大学高欣教授、俄亥俄州立大学生物医学信息学系/计算机科学与工程系宁夏教授、清华大学智能产业研究院/电子工程系马剑竹副教授、深势科技机器学习算法负责人柯国霖研究院以及中国人民大学高瓴人工智能学院长聘副教授孙...
弗洛凯非阿贝尔拓扑绝缘体及多重体边对应（图）
弗洛凯非阿贝尔 拓扑绝缘体 多重体边对应
2023/11/6
拓扑物相在过去近二十年里受到理论和实验学家的广泛关注，成为凝聚态物理和量子模拟等领域的研究热点。基于体系的对称性和维度，拓扑绝缘体可以分为十个Atland-Zirnbauer类，系统的拓扑不变量由阿贝尔群元Z或者Z2给出。最近，人们发现某些对称保护拓扑相可以超越以上阿贝尔型分类。例如，当多个带隙耦合在一起时，同时具有时间与空间（PT）反演对称性时，一维绝缘体的拓扑不变量由非阿贝尔群表示。体系的拓扑...