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Notices of the International Congress of Chinese Mathematicians最新文献

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Some contributions of Stephen S.-T. Yau to several complex variables Stephen s . t的一些贡献。有几个复杂的变量
Notices of the International Congress of Chinese Mathematicians Pub Date : 1900-01-01 DOI: 10.4310/ICCM.2019.V7.N2.A8
J. Kohn
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引用次数: 0
Modular Forms and Anomaly Cancellations in String Theory and M-Theory 弦理论和m理论中的模形式和异常消去
Notices of the International Congress of Chinese Mathematicians Pub Date : 1900-01-01 DOI: 10.4310/iccm.2021.v9.n2.a3
F. Han, Kefeng Liu
{"title":"Modular Forms and Anomaly Cancellations in String Theory and M-Theory","authors":"F. Han, Kefeng Liu","doi":"10.4310/iccm.2021.v9.n2.a3","DOIUrl":"https://doi.org/10.4310/iccm.2021.v9.n2.a3","url":null,"abstract":"String theory is a candidate theory in particle physics for reconciling quantum mechanics and general relativity, i.e. quantum gravity. Moreover, it’s also a candidate of TOE (“theory of everything”), describing all the known fundamental forces and matters in our universe in a mathematically complete system. In conventional theories, elementary particles are mathematical points, whereas, the fundamental objects in string theory are 1-dimensional oscillating lines or loops.","PeriodicalId":415664,"journal":{"name":"Notices of the International Congress of Chinese Mathematicians","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131106353","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Stability, geometry and arithmetic 稳定性，几何和算术
Notices of the International Congress of Chinese Mathematicians Pub Date : 1900-01-01 DOI: 10.4310/ICCM.2019.V7.N1.A34
K. Zuo
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引用次数: 0
Works of major importance 重要作品
Notices of the International Congress of Chinese Mathematicians Pub Date : 1900-01-01 DOI: 10.4310/ICCM.2019.V7.N1.A25
D. Kazhdan
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引用次数: 0
Yau in my life 你在我的生命里
Notices of the International Congress of Chinese Mathematicians Pub Date : 1900-01-01 DOI: 10.4310/iccm.2019.v7.n1.a17
A. Grigor’yan
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引用次数: 0
My life and times with the sporadic simple groups 我的生命和时光与零星的简单群体相伴
Notices of the International Congress of Chinese Mathematicians Pub Date : 1900-01-01 DOI: 10.4310/iccm.2021.v9.n1.a2
R. Griess
{"title":"My life and times with the sporadic simple groups","authors":"R. Griess","doi":"10.4310/iccm.2021.v9.n1.a2","DOIUrl":"https://doi.org/10.4310/iccm.2021.v9.n1.a2","url":null,"abstract":"Five sporadic simple groups were proposed in 19th century and 21 additional ones arose during the period 1965-1975. There were many discussions about the nature of finite simple groups and how sporadic groups are placed in mathematics. While in mathematics graduate school at University of Chicago, I became fascinated with the unfolding story of sporadic simple groups. It involved theory, detective work and experiments. During this lecture, I will describe some of the people, important ideas and evolution of thinking about sporadic simple groups. Most should be accessible to a general mathematical audience.","PeriodicalId":415664,"journal":{"name":"Notices of the International Congress of Chinese Mathematicians","volume":"11 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123949508","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
From fields to Fields 从田野到田野
Notices of the International Congress of Chinese Mathematicians Pub Date : 1900-01-01 DOI: 10.4310/ICCM.2020.V8.N2.A3
C. Birkar
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引用次数: 0
The Geometry and Topology of Compact Complex Manifolds with RC-Positive Tangent Bundles 具有rc正切线束的紧复流形的几何和拓扑
Notices of the International Congress of Chinese Mathematicians Pub Date : 1900-01-01 DOI: 10.4310/iccm.2021.v9.n2.a4
Xiaokui Yang
{"title":"The Geometry and Topology of Compact Complex Manifolds with RC-Positive Tangent Bundles","authors":"Xiaokui Yang","doi":"10.4310/iccm.2021.v9.n2.a4","DOIUrl":"https://doi.org/10.4310/iccm.2021.v9.n2.a4","url":null,"abstract":". In this note, we give a brief exposition on the recent progress on the geometry and topology of compact complex manifolds with RC-positive tangent bundles, with particular focus on several open problems proposed by S.-T. Yau around 40 years ago. The uniformization theorem demonstrates satis-factorily that: every simply connected Riemann sur-face is isomorphic to one of three Riemann surfaces: the open unit disk D , the complex plane C , or the Riemann sphere S 2 . However, the geometry and topology of higher dimensional complex manifolds are far more complicated, and the classifica-tions of such manifolds are still challenging tasks in modern geometry. As analogous to the geometric properties of three model Riemann surfaces, many terminologies are developed to investigate higher dimensional complex manifolds. For instances, a vari-ety of curvature notions are used in differential geometry, e.g., holomorphic bisectional curvature, holomorphic sectional curvature, Ricci curvature and etc. With the help of the intersection theory, algebraic geometers created many algebraic concepts to de-scribe the geometry of algebraic manifolds, such as ampleness, nefness and so on. On the other hand, it is natural to investigate complex manifolds by ana-lyzing model Riemann surfaces contained in them. The category of algebraic manifolds containing rational curves ( CP 1 ∼ = S 2 ) plays a significant role in alge-* braic geometry, and complex manifolds without entire curves C —so called hyperbolic manifolds—are fundamental in analytical geometry.","PeriodicalId":415664,"journal":{"name":"Notices of the International Congress of Chinese Mathematicians","volume":"44 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127553105","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Encounters with Shing-Tung Yau 与邱成东会面
Notices of the International Congress of Chinese Mathematicians Pub Date : 1900-01-01 DOI: 10.4310/ICCM.2019.V7.N1.A26
C. LeBrun
{"title":"Encounters with Shing-Tung Yau","authors":"C. LeBrun","doi":"10.4310/ICCM.2019.V7.N1.A26","DOIUrl":"https://doi.org/10.4310/ICCM.2019.V7.N1.A26","url":null,"abstract":"","PeriodicalId":415664,"journal":{"name":"Notices of the International Congress of Chinese Mathematicians","volume":"43 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132895662","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Days at Princeton 在普林斯顿的日子
Notices of the International Congress of Chinese Mathematicians Pub Date : 1900-01-01 DOI: 10.4310/ICCM.2019.V7.N1.A3
S. Bando
{"title":"Days at Princeton","authors":"S. Bando","doi":"10.4310/ICCM.2019.V7.N1.A3","DOIUrl":"https://doi.org/10.4310/ICCM.2019.V7.N1.A3","url":null,"abstract":"","PeriodicalId":415664,"journal":{"name":"Notices of the International Congress of Chinese Mathematicians","volume":"56 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115688172","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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