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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On the Gauss maps of complete minimal surfaces in Rm
Rm 完全极小曲面 高斯映射
2023/12/11
We prove that if the Gauss map of a minimal surface immersed in Rm omits a generic hypersurface of large enough degree, then it must be constant.
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Kazdan-Warner equations on compact Riemann surfaces
紧黎曼曲面 卡兹丹-华纳方程 数学
2023/4/28
In this talk, we shall review firstly the study history of Kazdan-Warner equations on compact Riemann surfaces, which was proposed by Kazdan and Warner on Annals of Math on 1974. Then we shall show th...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Recent developments on random hyperbolic surfaces of large genus
大属随机 双曲曲面 球面几何
2023/4/21
In this talk, we report several very recent asymptotic results on certain classical geometric quantities viewed as random variables on the moduli space of Riemann surfaces for large genus (and many cu...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Bloch's conjecture for symplectic autoequivalences on K3 surfaces
布洛赫 K3曲面 辛自等价
2023/4/13
Bloch's conjecture for a surface X over an algebraically closed field k states that every homologically trivial correspondence acts as 0 on the Albanese kernel. When X is a K3 surface, this conjecture...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On Kahler Ricci shrinker surfaces
Kahler Ricci 收缩机 表面
2023/4/23
We prove that any K?hler Ricci shrinker surface has bounded sectional curvature. Combining this estimate with earlier work by many authors, we provide a complete classification of all K?hler Ricci shr...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Large deviations in random interlacements II: tilted interlacements and solidification of porous surfaces
随机交错 大偏差 倾斜交错 多孔表面 固化
2023/5/10
In this lecture, I will discuss how tilting and coarse graining, two key ideas in modern probability, come into play in deriving respectively the lower and upper bounds of the asymptotic probability i...
The boiling of water or other fluids is an energy-intensive step at the heart of a wide range of industrial processes, including most electricity generating plants, many chemical production systems, a...
While brooms and sponges are the means of choice to fight contamination in everyday life, cleaning sensitive surfaces such as electronic components requires different tools, including evaporation-base...
The wettability of a surface — whether drops of water or another liquid bead up or spread out when they come into contact with it — is a crucial factor in a wide variety of commercial and industrial a...
Making catalytic surfaces more active to help decarbonize fuels and chemicals（图）
催化表面 帮助燃料 化学品脱碳
2023/6/7
Electrochemical reactions that are accelerated using catalysts lie at the heart of many processes for making and using fuels, chemicals, and materials — including storing electricity from renewable en...
When you’re frying something in a skillet and some droplets of water fall into the pan, you may have noticed those droplets skittering around on top of the film of hot oil. Now, that seemingly trivial...
Massachusetts Institute of Technology shows how brain tells glossy from grainy surfaces
brain interprets
2007/4/20
April 19, 2007，Imagine looking at a pool of spilled milk. Your brain knows that it’s milk and not another white substance like sugar, or cottage cheese, but how does it know?MIT researchers and collea...
Hotter-than-expected neutron star surfaces help explain superburst frequency
neutron stars Astrophysical nuclear physics
2007/4/16
April 13, 2007，EAST LANSING, Mich. — A new theoretical thermometer built from heavy-duty mathematics and computer code suggests that the surfaces of certain neutron stars run significantly hotter than...