Pub Date : 2017-06-21DOI: 10.1365/s13291-017-0168-3
Franz Lemmermeyer
{"title":"David Hilbert: Die Theorie der algebraischen Zahlkörper","authors":"Franz Lemmermeyer","doi":"10.1365/s13291-017-0168-3","DOIUrl":"https://doi.org/10.1365/s13291-017-0168-3","url":null,"abstract":"","PeriodicalId":73532,"journal":{"name":"Jahresbericht der Deutschen Mathematiker-Vereinigung. Deutsche Mathematiker-Vereinigung","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2017-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78639775","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}
Pub Date : 2017-05-30DOI: 10.1365/s13291-017-0166-5
M. Struwe
{"title":"D.-A. Geba, M. G. Grillakis: An Introduction to the Theory of Wave Maps and Related Geometric Problems","authors":"M. Struwe","doi":"10.1365/s13291-017-0166-5","DOIUrl":"https://doi.org/10.1365/s13291-017-0166-5","url":null,"abstract":"","PeriodicalId":73532,"journal":{"name":"Jahresbericht der Deutschen Mathematiker-Vereinigung. Deutsche Mathematiker-Vereinigung","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2017-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88163037","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}
Pub Date : 2017-05-16DOI: 10.1365/s13291-017-0165-6
A. Stevens
{"title":"Mathematics and the Life-Sciences: A Personal Point of View","authors":"A. Stevens","doi":"10.1365/s13291-017-0165-6","DOIUrl":"https://doi.org/10.1365/s13291-017-0165-6","url":null,"abstract":"","PeriodicalId":73532,"journal":{"name":"Jahresbericht der Deutschen Mathematiker-Vereinigung. Deutsche Mathematiker-Vereinigung","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2017-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77077467","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}
Pub Date : 2017-05-11DOI: 10.1365/s13291-017-0164-7
Thomas Bauer, K. Hulek, S. Rams, A. Sarti, T. Szemberg
{"title":"Wolf Barth (1942–2016)","authors":"Thomas Bauer, K. Hulek, S. Rams, A. Sarti, T. Szemberg","doi":"10.1365/s13291-017-0164-7","DOIUrl":"https://doi.org/10.1365/s13291-017-0164-7","url":null,"abstract":"","PeriodicalId":73532,"journal":{"name":"Jahresbericht der Deutschen Mathematiker-Vereinigung. Deutsche Mathematiker-Vereinigung","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2017-05-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88318060","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}
Pub Date : 2017-04-04DOI: 10.1365/s13291-017-0167-4
H. Geiges
{"title":"How to Depict 5-Dimensional Manifolds","authors":"H. Geiges","doi":"10.1365/s13291-017-0167-4","DOIUrl":"https://doi.org/10.1365/s13291-017-0167-4","url":null,"abstract":"","PeriodicalId":73532,"journal":{"name":"Jahresbericht der Deutschen Mathematiker-Vereinigung. Deutsche Mathematiker-Vereinigung","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2017-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89257280","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}
Pub Date : 2017-03-29DOI: 10.1365/s13291-017-0163-8
W. Sieg
{"title":"Reinhard Kahle, Michael Rathjen (eds.): “Gentzen’s Centenary, The Quest for Consistency”","authors":"W. Sieg","doi":"10.1365/s13291-017-0163-8","DOIUrl":"https://doi.org/10.1365/s13291-017-0163-8","url":null,"abstract":"","PeriodicalId":73532,"journal":{"name":"Jahresbericht der Deutschen Mathematiker-Vereinigung. Deutsche Mathematiker-Vereinigung","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2017-03-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75008995","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}
Pub Date : 2017-03-22DOI: 10.1365/s13291-017-0162-9
N. Gurski
{"title":"Donald Yau: “Colored Operads”","authors":"N. Gurski","doi":"10.1365/s13291-017-0162-9","DOIUrl":"https://doi.org/10.1365/s13291-017-0162-9","url":null,"abstract":"","PeriodicalId":73532,"journal":{"name":"Jahresbericht der Deutschen Mathematiker-Vereinigung. Deutsche Mathematiker-Vereinigung","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2017-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90530141","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}
Pub Date : 2017-03-17DOI: 10.1365/s13291-017-0160-y
Reinhard Farwig
{"title":"Jean Leray: Sur le mouvement d’un liquide visqueux emplissant l’espace.","authors":"Reinhard Farwig","doi":"10.1365/s13291-017-0160-y","DOIUrl":"https://doi.org/10.1365/s13291-017-0160-y","url":null,"abstract":"","PeriodicalId":73532,"journal":{"name":"Jahresbericht der Deutschen Mathematiker-Vereinigung. Deutsche Mathematiker-Vereinigung","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2017-03-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78778724","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}
Meta-materials are assemblies of small components. Even though the single component consists of ordinary materials, the meta-material may behave effectively in a way that is not known from ordinary materials. In this text, we discuss some meta-materials that exhibit unusual properties in the propagation of sound or light. The phenomena are based on resonance effects in the small components. The small (sub-wavelength) components can be resonant to the wave-length of an external field if they incorporate singular features such as a high contrast or a singular geometry. Homogenization theory allows to derive effective equations for the macroscopic description of the meta-material and to verify its unusual properties. We discuss three examples: Sound-absorbing materials, optical materials with a negative index of refraction, perfect transmission through grated metals.
{"title":"Resonance meets homogenization - Construction of meta-materials with astonishing properties","authors":"B. Schweizer","doi":"10.17877/DE290R-17864","DOIUrl":"https://doi.org/10.17877/DE290R-17864","url":null,"abstract":"Meta-materials are assemblies of small components. Even though the single component consists of ordinary materials, the meta-material may behave effectively in a way that is not known from ordinary materials. In this text, we discuss some meta-materials that exhibit unusual properties in the propagation of sound or light. The phenomena are based on resonance effects in the small components. The small (sub-wavelength) components can be resonant to the wave-length of an external field if they incorporate singular features such as a high contrast or a singular geometry. Homogenization theory allows to derive effective equations for the macroscopic description of the meta-material and to verify its unusual properties. We discuss three examples: Sound-absorbing materials, optical materials with a negative index of refraction, perfect transmission through grated metals.","PeriodicalId":73532,"journal":{"name":"Jahresbericht der Deutschen Mathematiker-Vereinigung. Deutsche Mathematiker-Vereinigung","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2017-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89224636","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}
Pub Date : 2017-02-10DOI: 10.1365/s13291-017-0159-4
Ernst Eberlein, Hans Föllmer, Michael Keane, U. Krengel, Volker Strassen
{"title":"Konrad Jacobs (1928–2015)","authors":"Ernst Eberlein, Hans Föllmer, Michael Keane, U. Krengel, Volker Strassen","doi":"10.1365/s13291-017-0159-4","DOIUrl":"https://doi.org/10.1365/s13291-017-0159-4","url":null,"abstract":"","PeriodicalId":73532,"journal":{"name":"Jahresbericht der Deutschen Mathematiker-Vereinigung. Deutsche Mathematiker-Vereinigung","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2017-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74170311","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}
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