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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Kahler geometry methods in Gaussian Gabor frame theory
高斯 Gabor框架理论 Kahler几何
2023/11/6
We investigate the frame set of regular multivariate Gaussian Gabor frames using methods from Kahler geometry such as Hormander's $\dbar$-L2 estimate with singular weight, Demailly's Calabi--Yau metho...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On the Geometry of Landau-Ginzburg Model
朗道-金茨堡模型 几何 非紧复流形M
2023/5/15
An LG model (M, f) is given by a noncompact complex manifold M and the holomorphic function f defined on it, which is an important model in string theory. Because of the mirror symmetry conjecture, th...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Singular integral and geometry
奇异积分 几何 谐波分析
2023/5/8
The geometric considerations enter in a decisive way in many questions of harmonic analysis. For example, the estimation of the Fourier transform of surface-carried measure, which played a key role in...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：The logarithmic Brunn-Minkowski inequality conjecture in convex geometry
凸几何 对数 布伦-闵可夫斯基 不等式猜想
2023/4/21
The logarithmic Brunn-Minkowski inequality conjecture is one of the most intriguing challenges in convex geometry since 2012. Notably, this conjectured inequality is stronger than the celebrated Brunn...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Geometry of the Ricci flow singularity models
利玛窦流 奇点模型 几何形状
2023/4/25
The Ricci flow is a powerful tool in geometry to construct the canonical metric on a given manifold. It can be viewed as a nonlinear heat flow of the Riemannian metric and may develop finite time sing...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Geometry and recovery of spectral-sparse signals
频谱稀疏信号 几何 恢复
2023/4/26
Spectral-sparse signals are those sparse in the Fourier domain and are very common in wireless communications, radar, sonar, medical imaging and other applications. Their recovery from noisy, limited ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Shimura varieties and p-adic geometry
志村变种 p-adic几何 代数几何空间 算术几何
2023/4/28
Shimura varieties are a class of algebraic geometric spaces that play a very important role in arithmetic geometry, especially in the Langlands program. In recent years, methods from the geometric rep...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Some geometry of affine Deligne-Lusztig varieties
仿射 Deligne-Lusztig变种 几何
2023/5/17
The mod p points of a Shimura variety have a conjectural description called the Langlands-Rapoport conjecture. In accordance with the conjecture, Rapoport defined (generalized) affine Deligne-Lusztig ...
When curved materials flatten, simple geometry can predict the wrinkle patterns that emerge（图）
弯曲材料 皱纹图案 柔性电子产品
2023/7/7
An object that’s intrinsically flat, say a piece of paper, can be shaped into a cylinder without stretching or tearing it. The same isn’t true, however, for something intrinsically curved like a conta...
Mathematician reveals world’s oldest example of applied geometry
land survey Creating right angles Si.427 trigonometric function
2021/8/10
A scientist has revealed that an ancient clay tablet could be the oldest and most complete example of applied geometry. The surveyor's field plan from the Old Babylon period shows that ancient mathema...
Research shows how tissue's microscopic geometry affects spread of cancer（图）
tissue microscopic geometry affects spread cancer
2021/3/26
Oregon State University research has revealed a crucial mechanism behind one of humankind's most deadly physiological processes: the movement of malignant cells from one part of the body to another.Pu...
中国地质大学科学技术发展院李瑞，王生维，等，资源学院. Rock Mechanics and Rock Engineering，Geometry and Filling Features of Hydraulic Fractures in Coalbed Methane Reservoirs based on Subsurface Observations
煤层气井压裂；裂缝形态；充填特征。
2021/10/15
近期，中国地质大学资源学院王生维教授团队在岩石力学领域著名期刊《Rock Mechanics and Rock Engineering》上发表题为《Geometry and Filling Features of Hydraulic Fractures in Coalbed Methane Reservoirs based on Subsurface Observations》的研究成果。该文通过...
武汉科技大学理学院邹都副教授在国际微分几何最高级别期刊《Journal of Differential Geometry》发表学术论文（图）
武汉科技大学理学院 邹都 副教授 微分几何
2019/10/12
近日，理学院楚天学子邹都副教授的学术论文《The Lp Minkowski problem for electrostatic p-capacity》被《Journal of Differential Geometry》正式接收，论文篇幅为42页。《Journal of Differential Geometry》的主编是国际数学领袖丘成桐教授，该期刊是微分几何领域最高级别的专业期刊。
中国地质大学科学技术发展院陈孝君(博士研究生),姚光庆* 等, 资源学院/构造与油气资源教育部重点实验室 JGR-Solid Earth, 2019, Capillary Pressure Curve Determination Based on a 2‐D Cross‐Section Analysis Via Fractal Geometry: A Bridge Between 2‐D and 3‐D Pore Structure of Porous Media（图）
二维；多孔介质；三维；输运机理
2021/10/20
近日，国际地球物理Nature Index期刊《Journal of Geophysical Research: Solid Earth》刊出了中国地质大学关于多孔介质二维和三维之间输运机理方面的最新研究成果：基于分形几何的二维截面分析确定毛细管压力曲线：多孔介质的二维和三维孔隙结构之间的桥梁(Capillary Pressure Curve Determination Based on a 2-...
A geometry is a measure of restraint over the allowed 0.5n(n-1) distances between a set of n points (e.g. the metric and topological spaces). So defined, geometries lead to associated algebra. The com...