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Commission Internationale de l’Enseignement Mathématique. Renewal of the ICMI Executive Committee 国际宇航组织委员会。ICMI执行委员会的更新
L’Enseignement Mathématique Pub Date : 2020-10-06 DOI: 10.4171/lem/66-1/2-12
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引用次数: 0
Vaughan Jones 沃恩琼斯
L’Enseignement Mathématique Pub Date : 2020-10-06 DOI: 10.4171/lem/66-1/2-1
{"title":"Vaughan Jones","authors":"","doi":"10.4171/lem/66-1/2-1","DOIUrl":"https://doi.org/10.4171/lem/66-1/2-1","url":null,"abstract":"","PeriodicalId":344085,"journal":{"name":"L’Enseignement Mathématique","volume":"30 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121640047","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: 1
Miscellaneous on commutants mod normed ideals and quasicentral modulus $I$ 交换子模赋范理想和拟中心模I的杂项
L’Enseignement Mathématique Pub Date : 2020-08-16 DOI: 10.4171/lem/1047
D. Voiculescu
{"title":"Miscellaneous on commutants mod normed ideals and quasicentral modulus $I$","authors":"D. Voiculescu","doi":"10.4171/lem/1047","DOIUrl":"https://doi.org/10.4171/lem/1047","url":null,"abstract":"We define commutants mod normed ideals associated with compact smooth manifolds with boundary. The results about the K-theory of these operator algebras include an exact sequence for the connected sum of manifolds, derived from the Mayer-Vietoris sequence. We also make a few remarks about bicommutants mod normed ideals and about the quasicentral modulus for the quasinormed p-Schatten-von Neumann classes 0 < p < 1.","PeriodicalId":344085,"journal":{"name":"L’Enseignement Mathématique","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-08-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127376295","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: 1
On the integration of transitive Lie algebroids 关于传递李代数群的积分
L’Enseignement Mathématique Pub Date : 2020-07-14 DOI: 10.4171/lem/1015
E. Meinrenken
{"title":"On the integration of transitive Lie algebroids","authors":"E. Meinrenken","doi":"10.4171/lem/1015","DOIUrl":"https://doi.org/10.4171/lem/1015","url":null,"abstract":"We revisit the problem of integrating Lie algebroids $ARightarrow M$ to Lie groupoids $Grightrightarrows M$, for the special case that the Lie algebroid $A$ is transitive. We obtain a geometric explanation of the Crainic-Fernandes obstructions for this situation, and an explicit construction of the integration whenever these obstructions vanish. We also indicate an extension of this approach to regular Lie algebroids.","PeriodicalId":344085,"journal":{"name":"L’Enseignement Mathématique","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-07-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122838064","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
Bergman space zero sets, modular forms, von Neumann algebras and ordered groups (edited by Pierre de la Harpe) Bergman空间零集，模形式，von Neumann代数和有序群(Pierre de la Harpe编辑)
L’Enseignement Mathématique Pub Date : 2020-06-29 DOI: 10.4171/lem/1045
V. Jones
{"title":"Bergman space zero sets, modular forms, von Neumann algebras and ordered groups (edited by Pierre de la Harpe)","authors":"V. Jones","doi":"10.4171/lem/1045","DOIUrl":"https://doi.org/10.4171/lem/1045","url":null,"abstract":"$A^2_{alpha}$ will denote the weighted $L^2$ Bergman space. Given a subset $S$ of the open unit disc we define $Omega(S)$ to be the infimum of ${s| exists f in A^2_{s-2}, fneq 0, mbox{ having $S$ as its zero set} }$.By classical results on Hardy space there are sets $S$ for which $Omega(S)=1$. Using von Neumann dimension techniques and cusp forms we give examples of $S$ where $1<Omega(S)<infty$. By using a left order on certain Fuchsian groups we are able to calculate $Omega(S)$ exactly if $Omega (S)$ is the orbit of a Fuchsian group. This technique also allows us to derive in a new way well known results on zeros of cusp forms and indeed calculate the whole algebra of modular forms for pslz.","PeriodicalId":344085,"journal":{"name":"L’Enseignement Mathématique","volume":"102 ","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-06-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"120884688","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: 6
Lattice equable quadrilaterals I: Parallelograms 格等四边形I:平行四边形
L’Enseignement Mathématique Pub Date : 2020-06-13 DOI: 10.4171/lem/1013
Christian Aebi, G. Cairns
{"title":"Lattice equable quadrilaterals I: Parallelograms","authors":"Christian Aebi, G. Cairns","doi":"10.4171/lem/1013","DOIUrl":"https://doi.org/10.4171/lem/1013","url":null,"abstract":". This paper studies equable parallelograms whose vertices lie on the integer lattice. Using Rosenberger’s Theorem on generalised Markov equations, we show that the g.c.d. of the side lengths of such parallelograms can only be 3, 4 or 5, and in each of these cases the set of parallelograms naturally forms an infinite tree all of whose vertices have degree 4, bar the root. The paper then focuses on what we call Pythagorean equable paral- lelograms. These are lattice equable parallelograms whose complement in a circumscribing rectangle consists of two Pythagorean triangles. We prove that for these parallelograms the shortest side can only be 3, 4, 5, 6 or 10, and there are five infinite families of such parallelograms, given by solutions to corresponding Pell-like equations.","PeriodicalId":344085,"journal":{"name":"L’Enseignement Mathématique","volume":"57 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116122805","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: 1
Le programme de Fontaine 方丹的节目
L’Enseignement Mathématique Pub Date : 2020-06-11 DOI: 10.4171/lem/65-3/4-7
P. Colmez
{"title":"Le programme de Fontaine","authors":"P. Colmez","doi":"10.4171/lem/65-3/4-7","DOIUrl":"https://doi.org/10.4171/lem/65-3/4-7","url":null,"abstract":"","PeriodicalId":344085,"journal":{"name":"L’Enseignement Mathématique","volume":"56 10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123554049","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
Commission Internationale de l’Enseignement Mathématique. The 2019 Felix Klein, Hans Freudenthal and Emma Castelnuovo ICMI Awards 国际数学教育委员会。这首歌在美国公告牌百强单曲榜上排名第二，在英国单曲榜上排名第三。
L’Enseignement Mathématique Pub Date : 2020-06-11 DOI: 10.4171/lem/65-3/4-8
{"title":"Commission Internationale de l’Enseignement Mathématique. The 2019 Felix Klein, Hans Freudenthal and Emma Castelnuovo ICMI Awards","authors":"","doi":"10.4171/lem/65-3/4-8","DOIUrl":"https://doi.org/10.4171/lem/65-3/4-8","url":null,"abstract":"","PeriodicalId":344085,"journal":{"name":"L’Enseignement Mathématique","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130403893","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 note on Galois representations with big image 关于大图伽罗瓦表示法的注解
L’Enseignement Mathématique Pub Date : 2020-06-11 DOI: 10.4171/lem/65-3/4-1
N. M. Katz
{"title":"A note on Galois representations with big image","authors":"N. M. Katz","doi":"10.4171/lem/65-3/4-1","DOIUrl":"https://doi.org/10.4171/lem/65-3/4-1","url":null,"abstract":"Given an integer N ≥ 3, we will first construct reasonably “motivic” representations ρ : Gal(Q/Q(ζN ))→ GL(n,Q`) with open image, for any ` which is 1 mod N and for certain n. We will do this in three different ways. The third of them has a descent to Q when N is 3 or 4. This provides us with motivic galois representations of Gal(Q/Q) with open image in GL(n,Q`) for any even n ≥ 6 and any ` which is ≡ 1 mod 3 or mod 4.","PeriodicalId":344085,"journal":{"name":"L’Enseignement Mathématique","volume":"20 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122047280","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: 5
Extending and improving conical bicombings 扩展和改进锥形二梳齿
L’Enseignement Mathématique Pub Date : 2020-05-28 DOI: 10.4171/LEM/1043
Giuliano Basso
{"title":"Extending and improving conical bicombings","authors":"Giuliano Basso","doi":"10.4171/LEM/1043","DOIUrl":"https://doi.org/10.4171/LEM/1043","url":null,"abstract":"We prove that for every reversible conical bicombing $sigma$ on a metric space $X$, there exists a conical bicombing on the injective hull of $X$ that extends $sigma$. We also establish a Descombes-Lang type result stating that every proper metric space with a conical bicombing admits a consistent bicombing satisfying certain convexity conditions.","PeriodicalId":344085,"journal":{"name":"L’Enseignement Mathématique","volume":"6 6","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141202459","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: 9
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