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Jahresbericht der Deutschen Mathematiker-Vereinigung. Deutsche Mathematiker-Vereinigung最新文献

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Numerical Multiscale Methods for Waves in High-Contrast Media 高对比度介质中波浪的数值多尺度方法
Jahresbericht der Deutschen Mathematiker-Vereinigung. Deutsche Mathematiker-Vereinigung Pub Date : 2023-10-18 DOI: 10.1365/s13291-023-00273-z
Barbara Verfürth
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引用次数: 0
Cohomology of Leibniz Algebras 莱布尼兹代数的上同调
Jahresbericht der Deutschen Mathematiker-Vereinigung. Deutsche Mathematiker-Vereinigung Pub Date : 2023-10-11 DOI: 10.1365/s13291-023-00272-0
Friedrich Wagemann
{"title":"Cohomology of Leibniz Algebras","authors":"Friedrich Wagemann","doi":"10.1365/s13291-023-00272-0","DOIUrl":"https://doi.org/10.1365/s13291-023-00272-0","url":null,"abstract":"","PeriodicalId":73532,"journal":{"name":"Jahresbericht der Deutschen Mathematiker-Vereinigung. Deutsche Mathematiker-Vereinigung","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136063826","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
G. Rozza, G. Stabile, F. Ballarin: “Advanced Reduced Order Methods and Applications in Computational Fluid Dynamics” G. Rozza, G. Stabile, F. Ballarin:“先进的降阶方法及其在计算流体动力学中的应用”
Jahresbericht der Deutschen Mathematiker-Vereinigung. Deutsche Mathematiker-Vereinigung Pub Date : 2023-08-24 DOI: 10.1365/s13291-023-00270-2
B. Sanderse
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引用次数: 0
Mathematical Reflections on Locality 关于局部性的数学思考
Jahresbericht der Deutschen Mathematiker-Vereinigung. Deutsche Mathematiker-Vereinigung Pub Date : 2023-03-22 DOI: 10.1365/s13291-023-00268-w
Li Guo, S. Paycha, Bin Zhang
{"title":"Mathematical Reflections on Locality","authors":"Li Guo, S. Paycha, Bin Zhang","doi":"10.1365/s13291-023-00268-w","DOIUrl":"https://doi.org/10.1365/s13291-023-00268-w","url":null,"abstract":"","PeriodicalId":73532,"journal":{"name":"Jahresbericht der Deutschen Mathematiker-Vereinigung. Deutsche Mathematiker-Vereinigung","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73146978","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
A Tour of p $p$ -Permutation Modules and Related Classes of Modules p$ p$ -置换模及模的相关类简介
Jahresbericht der Deutschen Mathematiker-Vereinigung. Deutsche Mathematiker-Vereinigung Pub Date : 2023-02-07 DOI: 10.1365/s13291-023-00266-y
Caroline Lassueur
{"title":"A Tour of \u0000 \u0000 \u0000 \u0000 \u0000 p\u0000 \u0000 $p$\u0000 -Permutation Modules and Related Classes of Modules","authors":"Caroline Lassueur","doi":"10.1365/s13291-023-00266-y","DOIUrl":"https://doi.org/10.1365/s13291-023-00266-y","url":null,"abstract":"","PeriodicalId":73532,"journal":{"name":"Jahresbericht der Deutschen Mathematiker-Vereinigung. Deutsche Mathematiker-Vereinigung","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79227834","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: 3
The Singularity Theorems of General Relativity and Their Low Regularity Extensions. 广义相对论的奇异性定理及其低正则性扩展。
Jahresbericht der Deutschen Mathematiker-Vereinigung. Deutsche Mathematiker-Vereinigung Pub Date : 2023-01-01 Epub Date: 2022-11-09 DOI: 10.1365/s13291-022-00263-7
Roland Steinbauer
{"title":"The Singularity Theorems of General Relativity and Their Low Regularity Extensions.","authors":"Roland Steinbauer","doi":"10.1365/s13291-022-00263-7","DOIUrl":"10.1365/s13291-022-00263-7","url":null,"abstract":"<p><p>On the occasion of Sir Roger Penrose's 2020 Nobel Prize in Physics, we review the singularity theorems of General Relativity, as well as their recent extension to Lorentzian metrics of low regularity. The latter is motivated by the quest to explore the nature of the singularities predicted by the classical theorems. Aiming at the more mathematically minded reader, we give a pedagogical introduction to the classical theorems with an emphasis on the analytical side of the arguments. We especially concentrate on focusing results for causal geodesics under appropriate geometric and initial conditions, in the smooth and in the low regularity case. The latter comprise the main technical advance that leads to the proofs of <math><msup><mi>C</mi><mn>1</mn></msup></math>-singularity theorems via a regularisation approach that allows to deal with the distributional curvature. We close with an overview on related lines of research and a future outlook.</p>","PeriodicalId":73532,"journal":{"name":"Jahresbericht der Deutschen Mathematiker-Vereinigung. Deutsche Mathematiker-Vereinigung","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10228498/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"9566938","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 7
Zum Einhundertsten Geburtstag des Lokal-Global–Prinzips in der Zahlentheorie 庆祝体制中的数字理论诞生一周年
Jahresbericht der Deutschen Mathematiker-Vereinigung. Deutsche Mathematiker-Vereinigung Pub Date : 2022-10-24 DOI: 10.1365/s13291-022-00262-8
Nicola M. R. Oswald, Jörn Steuding, K. Volkert
{"title":"Zum Einhundertsten Geburtstag des Lokal-Global–Prinzips in der Zahlentheorie","authors":"Nicola M. R. Oswald, Jörn Steuding, K. Volkert","doi":"10.1365/s13291-022-00262-8","DOIUrl":"https://doi.org/10.1365/s13291-022-00262-8","url":null,"abstract":"","PeriodicalId":73532,"journal":{"name":"Jahresbericht der Deutschen Mathematiker-Vereinigung. Deutsche Mathematiker-Vereinigung","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78708244","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
Christine Bessenrodt (1958-2022)
Jahresbericht der Deutschen Mathematiker-Vereinigung. Deutsche Mathematiker-Vereinigung Pub Date : 2022-09-20 DOI: 10.1365/s13291-022-00261-9
J. B. Olsson
{"title":"Christine Bessenrodt (1958-2022)","authors":"J. B. Olsson","doi":"10.1365/s13291-022-00261-9","DOIUrl":"https://doi.org/10.1365/s13291-022-00261-9","url":null,"abstract":"","PeriodicalId":73532,"journal":{"name":"Jahresbericht der Deutschen Mathematiker-Vereinigung. Deutsche Mathematiker-Vereinigung","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90805756","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
Dmitry N. Kozlov: “Organized Collapse: An Introduction to Discrete Morse Theory” Dmitry N. Kozlov:“有组织坍缩:离散莫尔斯理论导论”
Jahresbericht der Deutschen Mathematiker-Vereinigung. Deutsche Mathematiker-Vereinigung Pub Date : 2022-09-13 DOI: 10.1365/s13291-022-00259-3
Stefan Witzel
{"title":"Dmitry N. Kozlov: “Organized Collapse: An Introduction to Discrete Morse Theory”","authors":"Stefan Witzel","doi":"10.1365/s13291-022-00259-3","DOIUrl":"https://doi.org/10.1365/s13291-022-00259-3","url":null,"abstract":"","PeriodicalId":73532,"journal":{"name":"Jahresbericht der Deutschen Mathematiker-Vereinigung. Deutsche Mathematiker-Vereinigung","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90974807","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
Henning Krause: “Homological Theory of Representations” 亨宁·克劳斯:"表征的同调理论"
Jahresbericht der Deutschen Mathematiker-Vereinigung. Deutsche Mathematiker-Vereinigung Pub Date : 2022-09-13 DOI: 10.1365/s13291-022-00258-4
Lidia Angeleri Hügel
{"title":"Henning Krause: “Homological Theory of Representations”","authors":"Lidia Angeleri Hügel","doi":"10.1365/s13291-022-00258-4","DOIUrl":"https://doi.org/10.1365/s13291-022-00258-4","url":null,"abstract":"","PeriodicalId":73532,"journal":{"name":"Jahresbericht der Deutschen Mathematiker-Vereinigung. Deutsche Mathematiker-Vereinigung","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88815205","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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