Compositio Mathematica最新文献

A Hamiltonian ∐n BO(n)-action, stratified Morse theory and the J-homomorphism 哈密顿∐n BO(n)作用、分层莫尔斯理论和 J 同态性

IF 1.8 1区数学

Compositio Mathematica Pub Date : 2024-09-13 DOI: 10.1112/s0010437x24007279

Xin Jin

引用次数: 0

Improved algebraic fibrings 改进的代数纤维

IF 1.8 1区数学

Compositio Mathematica Pub Date : 2024-09-13 DOI: 10.1112/s0010437x24007309

Sam P. Fisher

引用次数: 0

On the Gross–Prasad conjecture with its refinement for (SO(5), SO(2)) and the generalized Böcherer conjecture 关于格罗斯-普拉萨德猜想及其对（SO(5), SO(2)）的完善和广义伯切尔猜想

IF 1.8 1区数学

Compositio Mathematica Pub Date : 2024-09-13 DOI: 10.1112/s0010437x24007267

Masaaki Furusawa, Kazuki Morimoto

{"title":"On the Gross–Prasad conjecture with its refinement for (SO(5), SO(2)) and the generalized Böcherer conjecture","authors":"Masaaki Furusawa, Kazuki Morimoto","doi":"10.1112/s0010437x24007267","DOIUrl":"https://doi.org/10.1112/s0010437x24007267","url":null,"abstract":"We investigate the Gross–Prasad conjecture and its refinement for the Bessel periods in the case of <img data-mimesubtype=\"png\" data-type=\"\" src=\"https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:20240912063150983-0859:S0010437X24007267:S0010437X24007267_inline2.png\">$(mathrm {SO}(5), mathrm {SO}(2))$</img>. In particular, by combining several theta correspondences, we prove the Ichino–Ikeda-type formula for any tempered irreducible cuspidal automorphic representation. As a corollary of our formula, we prove an explicit formula relating certain weighted averages of Fourier coefficients of holomorphic Siegel cusp forms of degree two, which are Hecke eigenforms, to central special values of <img data-mimesubtype=\"png\" data-type=\"\" src=\"https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:20240912063150983-0859:S0010437X24007267:S0010437X24007267_inline3.png\">$L$</img>-functions. The formula is regarded as a natural generalization of the Böcherer conjecture to the non-trivial toroidal character case.","PeriodicalId":55232,"journal":{"name":"Compositio Mathematica","volume":"165 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2024-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142199628","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

Cohomological and motivic inclusion–exclusion 同构和动机包含-排除

IF 1.8 1区数学

Compositio Mathematica Pub Date : 2024-09-13 DOI: 10.1112/s0010437x24007292

Ronno Das, Sean Howe

引用次数: 0

Cyclic base change of cuspidal automorphic representations over function fields 函数域上簕杜鹃自动表征的循环基变化

IF 1.8 1区数学

Compositio Mathematica Pub Date : 2024-09-11 DOI: 10.1112/s0010437x24007243

Gebhard Böckle, Tony Feng, Michael Harris, Chandrashekhar B. Khare, Jack A. Thorne

引用次数: 0

The -invariant over splitting fields of Tits algebras 蒂茨代数分裂域上的-不变量

IF 1.8 1区数学

Compositio Mathematica Pub Date : 2024-09-11 DOI: 10.1112/s0010437x24007255

Maksim Zhykhovich

引用次数: 0

Connes fusion of spinors on loop space 环空间上旋子的康恩融合

IF 1.8 1区数学

Compositio Mathematica Pub Date : 2024-08-27 DOI: 10.1112/s0010437x24007188

Peter Kristel, Konrad Waldorf

{"title":"Connes fusion of spinors on loop space","authors":"Peter Kristel, Konrad Waldorf","doi":"10.1112/s0010437x24007188","DOIUrl":"https://doi.org/10.1112/s0010437x24007188","url":null,"abstract":"The loop space of a string manifold supports an infinite-dimensional Fock space bundle, which is an analog of the spinor bundle on a spin manifold. This spinor bundle on loop space appears in the description of two-dimensional sigma models as the bundle of states over the configuration space of the superstring. We construct a product on this bundle that covers the fusion of loops, i.e. the merging of two loops along a common segment. For this purpose, we exhibit it as a bundle of bimodules over a certain von Neumann algebra bundle, and realize our product fibrewise using the Connes fusion of von Neumann bimodules. Our main technique is to establish novel relations between string structures, loop fusion, and the Connes fusion of Fock spaces. The fusion product on the spinor bundle on loop space was proposed by Stolz and Teichner as part of a programme to explore the relation between generalized cohomology theories, functorial field theories, and index theory. It is related to the pair of pants worldsheet of the superstring, to the extension of the corresponding smooth functorial field theory down to the point, and to a higher-categorical bundle on the underlying string manifold, the stringor bundle.","PeriodicalId":55232,"journal":{"name":"Compositio Mathematica","volume":"1 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2024-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142199694","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

BPS invariants from p-adic integrals 从 p-二次积分看 BPS 不变量

IF 1.8 1区数学

Compositio Mathematica Pub Date : 2024-05-30 DOI: 10.1112/s0010437x24007176

Francesca Carocci, Giulio Orecchia, Dimitri Wyss

引用次数: 0

2 n2-inequality for cA1 points and applications to birational rigidity 2 cA1点的n2-不等式及其在双刚性中的应用

IF 1.8 1区数学

Compositio Mathematica Pub Date : 2024-05-29 DOI: 10.1112/s0010437x24007164

Igor Krylov, Takuzo Okada, Erik Paemurru, Jihun Park

引用次数: 0

A geometric p-adic Simpson correspondence in rank one 一阶几何 p-adic Simpson 对应关系

IF 1.8 1区数学

Compositio Mathematica Pub Date : 2024-05-21 DOI: 10.1112/s0010437x24007024

Ben Heuer

引用次数: 0