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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On vacuum static spaces
真空 静态空间 闭真空
2023/11/29
In this talk, we will discuss vacuum static spaces. We firstly introduce the motivation, recent development and some difficult problems that have yet to be solved on vacuum static spaces. Then we pres...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Extensions of Projection Theorem in Banach Spaces
投影定理 巴拿赫空间 扩展
2023/5/4
In this talk, we first recall classic projection theorem for closed convex subsets in a Hilbert space. Then we introduce two extensions of the projection theorem in the Banach space where one is estab...
When manipulating an arcade claw, a player can plan all she wants. But once she presses the joystick button, it’s a game of wait-and-see. If the claw misses its target, she’ll have to start from scrat...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Rational points and homogeneous spaces over function fields of curves
曲线函数场 有理点 齐次空间
2023/4/17
In the last decade, there has been a growing interest in the study of rational points on homogeneous spaces of linear algebraic groups defined over fields having good arithmetical properties other tha...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Barron Type Spaces in Neural Network Approximation
神经网络 巴伦类型空间 经典函数空间
2023/4/13
We shall discuss various Barron type spaces arising from neural networks. The relations among these spaces will be clarified, and we shall also establish the relationship between Barron type spaces an...
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：Global unique solutions for the inhomogeneous Navier-Stokes equation with only bounded density, in critical regularity spaces
临界正则性空间 界密度 非齐次 纳维-斯托克斯方程 全局唯一解
2023/4/25
Our work is to prove the global existence and uniqueness of solutions to the inhomogeneous incompressible Navier-Stokes system in the case where the initial density $\rho_0$ is discontinuous and the i...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Symplectic fillings of lens spaces and Seifert fibered spaces
透镜空间 塞弗特纤维空间 辛填充
2023/4/27
In this talk, we apply Menke's JSJ decomposition for symplectic fillings to several families of contact 3-manifolds. Among other results, we complete the classification up to orientation-preserving di...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Pro-étale cohomology of affine spaces
仿射空间 亲上同调 [LB18， §3]
2023/5/6
Cover [LB18, §3]. If possible, comment on another proof [CN20].
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Banach--Colmez spaces
巴拿赫-科尔梅斯空间 黑匣子 [LB18， §2]
2023/5/8
Explain [LB18, §2]. Then state [LB18, Thm 4.1] and prove some of the cases, using [LB18, §3] as a black box.
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Morrison-Kawamata cone conjecture for Calabi-Yau fiber spaces
Calabi-Yau fiber spaces 莫里森-川俣 锥猜想
2023/5/9
In this talk, I will explain the relationship between the Morrison-Kawamata cone conjecture for Calabi-Yau fiber spaces and the existence of Shokurov polytopes. For K3 fibrations, this enables us to e...
International higher education leaders discuss next generation learning spaces（图）
higher education learning spaces pedagogy
2007/7/2
02 July 2007，More than 120 Australian and international leaders in higher education will meet in Brisbane this week to discuss the relationship between university teaching spaces, technology and pedag...