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The metric measure boundary of spaces with Ricci curvature bounded below Ricci曲率下有界空间的度量测度边界
IF 2.2 1区 数学
Geometric and Functional Analysis Pub Date : 2022-05-21 DOI: 10.1007/s00039-023-00626-x
Elia Brué, A. Mondino, Daniele Semola
{"title":"The metric measure boundary of spaces with Ricci curvature bounded below","authors":"Elia Brué, A. Mondino, Daniele Semola","doi":"10.1007/s00039-023-00626-x","DOIUrl":"https://doi.org/10.1007/s00039-023-00626-x","url":null,"abstract":"","PeriodicalId":12478,"journal":{"name":"Geometric and Functional Analysis","volume":"1 1","pages":"1-44"},"PeriodicalIF":2.2,"publicationDate":"2022-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46089887","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Analytic Langlands correspondence for $$PGL_2$$ P G L 2 on $${mathbb {P}}^1$$ P 1 with parabolic structures over local fields 局部场上具有抛物结构的$${mathbb {P}}^1$$ p1上$$PGL_2$$ P G L 2的解析朗兰对应
IF 2.2 1区 数学
Geometric and Functional Analysis Pub Date : 2022-05-18 DOI: 10.1007/s00039-022-00603-w
Pavel Etingof, Edward Frenkel, David Kazhdan
{"title":"Analytic Langlands correspondence for $$PGL_2$$ P G L 2 on $${mathbb {P}}^1$$ P 1 with parabolic structures over local fields","authors":"Pavel Etingof, Edward Frenkel, David Kazhdan","doi":"10.1007/s00039-022-00603-w","DOIUrl":"https://doi.org/10.1007/s00039-022-00603-w","url":null,"abstract":"<p>We continue to develop the analytic Langlands program for curves over local fields initiated in our earlier papers, following a suggestion of Langlands and a work of Teschner. Namely, we study the Hecke operators which we introduced in those papers in the case of a projective line with parabolic structures at finitely many points for the group <span>(PGL_2)</span>. We establish most of our conjectures in this case.</p>","PeriodicalId":12478,"journal":{"name":"Geometric and Functional Analysis","volume":"21 3 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2022-05-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138516634","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A random cover of a compact hyperbolic surface has relative spectral gap $$frac{3}{16}-varepsilon $$ 3 16 - ε 紧致双曲曲面的随机覆盖层具有相对谱隙$$frac{3}{16}-varepsilon $$ 3 16 - ε
IF 2.2 1区 数学
Geometric and Functional Analysis Pub Date : 2022-05-17 DOI: 10.1007/s00039-022-00602-x
Michael Magee, Frédéric Naud, Doron Puder
{"title":"A random cover of a compact hyperbolic surface has relative spectral gap $$frac{3}{16}-varepsilon $$ 3 16 - ε","authors":"Michael Magee, Frédéric Naud, Doron Puder","doi":"10.1007/s00039-022-00602-x","DOIUrl":"https://doi.org/10.1007/s00039-022-00602-x","url":null,"abstract":"<p>Let <i>X</i> be a compact connected hyperbolic surface, that is, a closed connected orientable smooth surface with a Riemannian metric of constant curvature <span>(-1)</span>. For each <span>(nin {mathbf {N}})</span>, let <span>(X_{n})</span> be a random degree-<i>n</i> cover of <i>X</i> sampled uniformly from all degree-<i>n</i> Riemannian covering spaces of <i>X</i>. An eigenvalue of <i>X</i> or <span>(X_{n})</span> is an eigenvalue of the associated Laplacian operator <span>(Delta _{X})</span> or <span>(Delta _{X_{n}})</span>. We say that an eigenvalue of <span>(X_{n})</span> is <i>new </i>if it occurs with greater multiplicity than in <i>X</i>. We prove that for any <span>(varepsilon &gt;0)</span>, with probability tending to 1 as <span>(nrightarrow infty )</span>, there are no new eigenvalues of <span>(X_{n})</span> below <span>(frac{3}{16}-varepsilon )</span>. We conjecture that the same result holds with <span>(frac{3}{16})</span> replaced by <span>(frac{1}{4})</span>.\u0000</p>","PeriodicalId":12478,"journal":{"name":"Geometric and Functional Analysis","volume":"18 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2022-05-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138516633","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 10
Lord Rayleigh’s Conjecture for Vibrating Clamped Plates in Positively Curved Spaces Rayleigh勋爵关于正弯曲空间中振动夹紧板的猜想
IF 2.2 1区 数学
Geometric and Functional Analysis Pub Date : 2022-04-25 DOI: 10.1007/s00039-022-00606-7
Alexandru Krist'aly
{"title":"Lord Rayleigh’s Conjecture for Vibrating Clamped Plates in Positively Curved Spaces","authors":"Alexandru Krist'aly","doi":"10.1007/s00039-022-00606-7","DOIUrl":"https://doi.org/10.1007/s00039-022-00606-7","url":null,"abstract":"","PeriodicalId":12478,"journal":{"name":"Geometric and Functional Analysis","volume":"32 1","pages":"881 - 937"},"PeriodicalIF":2.2,"publicationDate":"2022-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41349377","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
Threshold for Steiner triple systems Steiner三重系统的阈值
IF 2.2 1区 数学
Geometric and Functional Analysis Pub Date : 2022-04-08 DOI: 10.1007/s00039-023-00639-6
A. Sah, Mehtaab Sawhney, Michael Simkin
{"title":"Threshold for Steiner triple systems","authors":"A. Sah, Mehtaab Sawhney, Michael Simkin","doi":"10.1007/s00039-023-00639-6","DOIUrl":"https://doi.org/10.1007/s00039-023-00639-6","url":null,"abstract":"","PeriodicalId":12478,"journal":{"name":"Geometric and Functional Analysis","volume":"33 1","pages":"1141 - 1172"},"PeriodicalIF":2.2,"publicationDate":"2022-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44925798","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
Joints of Varieties 品种接头
IF 2.2 1区 数学
Geometric and Functional Analysis Pub Date : 2022-04-01 DOI: 10.1007/s00039-022-00597-5
Jonathan Tidor, H. Yu, Yufei Zhao
{"title":"Joints of Varieties","authors":"Jonathan Tidor, H. Yu, Yufei Zhao","doi":"10.1007/s00039-022-00597-5","DOIUrl":"https://doi.org/10.1007/s00039-022-00597-5","url":null,"abstract":"","PeriodicalId":12478,"journal":{"name":"Geometric and Functional Analysis","volume":"32 1","pages":"302 - 339"},"PeriodicalIF":2.2,"publicationDate":"2022-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"51866658","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Bourgain’s slicing problem and KLS isoperimetry up to polylog 布尔甘的切片问题与KLS等视法直至多元曲线
IF 2.2 1区 数学
Geometric and Functional Analysis Pub Date : 2022-03-29 DOI: 10.1007/s00039-022-00612-9
B. Klartag, J. Lehec
{"title":"Bourgain’s slicing problem and KLS isoperimetry up to polylog","authors":"B. Klartag, J. Lehec","doi":"10.1007/s00039-022-00612-9","DOIUrl":"https://doi.org/10.1007/s00039-022-00612-9","url":null,"abstract":"","PeriodicalId":12478,"journal":{"name":"Geometric and Functional Analysis","volume":"32 1","pages":"1134 - 1159"},"PeriodicalIF":2.2,"publicationDate":"2022-03-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48594183","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 51
Gromov–Hausdorff limits of Kähler manifolds with Ricci curvature bounded below Ricci曲率有界以下的Kähler流形的Gromov-Hausdorff极限
IF 2.2 1区 数学
Geometric and Functional Analysis Pub Date : 2022-03-28 DOI: 10.1007/s00039-022-00594-8
Gang Liu, Gábor Székelyhidi
{"title":"Gromov–Hausdorff limits of Kähler manifolds with Ricci curvature bounded below","authors":"Gang Liu, Gábor Székelyhidi","doi":"10.1007/s00039-022-00594-8","DOIUrl":"https://doi.org/10.1007/s00039-022-00594-8","url":null,"abstract":"<p>We show that non-collapsed Gromov–Hausdorff limits of polarized Kähler manifolds, with Ricci curvature bounded below, are normal projective varieties, and the metric singularities of the limit space are precisely given by a countable union of analytic subvarieties. This extends a fundamental result of Donaldson–Sun, in which 2-sided Ricci curvature bounds were assumed. As a basic ingredient we show that, under lower Ricci curvature bounds, almost Euclidean balls in Kähler manifolds admit good holomorphic coordinates. Further applications are integral bounds for the scalar curvature on balls, and a rigidity theorem for Kähler manifolds with almost Euclidean volume growth.</p>","PeriodicalId":12478,"journal":{"name":"Geometric and Functional Analysis","volume":"25 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2022-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138516613","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Functionals with extrema at reproducing kernels 具有再生核极值的泛函
IF 2.2 1区 数学
Geometric and Functional Analysis Pub Date : 2022-03-23 DOI: 10.1007/s00039-022-00608-5
A. Kulikov
{"title":"Functionals with extrema at reproducing kernels","authors":"A. Kulikov","doi":"10.1007/s00039-022-00608-5","DOIUrl":"https://doi.org/10.1007/s00039-022-00608-5","url":null,"abstract":"","PeriodicalId":12478,"journal":{"name":"Geometric and Functional Analysis","volume":"32 1","pages":"938 - 949"},"PeriodicalIF":2.2,"publicationDate":"2022-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41623094","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 19
Random hyperbolic surfaces of large genus have first eigenvalues greater than 316-ϵdocumentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begi Random hyperbolic surfaces of large genus have first eigenvalues greater than 316-ϵdocumentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begi
IF 2.2 1区 数学
Geometric and Functional Analysis Pub Date : 2022-03-17 DOI: 10.1007/s00039-022-00595-7
Yunhui Wu, Yuhao Xue
{"title":"Random hyperbolic surfaces of large genus have first eigenvalues greater than 316-ϵdocumentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begi","authors":"Yunhui Wu, Yuhao Xue","doi":"10.1007/s00039-022-00595-7","DOIUrl":"https://doi.org/10.1007/s00039-022-00595-7","url":null,"abstract":"","PeriodicalId":12478,"journal":{"name":"Geometric and Functional Analysis","volume":"32 1","pages":"340 - 410"},"PeriodicalIF":2.2,"publicationDate":"2022-03-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"51866560","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 12
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