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Global rigid inner forms vs isocrystals 整体刚性内部形态vs等晶
3区 数学
Documenta Mathematica Pub Date : 2023-10-16 DOI: 10.4171/dm/916
Tasho Kaletha, Olivier Taïbi
{"title":"Global rigid inner forms vs isocrystals","authors":"Tasho Kaletha, Olivier Taïbi","doi":"10.4171/dm/916","DOIUrl":"https://doi.org/10.4171/dm/916","url":null,"abstract":"We compare the cohomology of the global Galois gerbes constructed in [Kot] and [Kal18a], respectively, and give applications to the theory of endoscopy.","PeriodicalId":50567,"journal":{"name":"Documenta Mathematica","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136078197","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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: 2
Cubic fourfolds, Kuznetsov components, and Chow motives 三次四倍，库兹涅佐夫分量，和周动机
3区 数学
Documenta Mathematica Pub Date : 2023-10-16 DOI: 10.4171/dm/925
Lie Fu, Charles Vial
{"title":"Cubic fourfolds, Kuznetsov components, and Chow motives","authors":"Lie Fu, Charles Vial","doi":"10.4171/dm/925","DOIUrl":"https://doi.org/10.4171/dm/925","url":null,"abstract":"","PeriodicalId":50567,"journal":{"name":"Documenta Mathematica","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136113549","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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: 7
Quaternionic Speh representations 四元数语音表示
3区 数学
Documenta Mathematica Pub Date : 2023-10-16 DOI: 10.4171/dm/928
Yuanqing Cai
{"title":"Quaternionic Speh representations","authors":"Yuanqing Cai","doi":"10.4171/dm/928","DOIUrl":"https://doi.org/10.4171/dm/928","url":null,"abstract":"","PeriodicalId":50567,"journal":{"name":"Documenta Mathematica","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136112344","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Helical magnetic fields and semi-classical asymptotics of the lowest eigenvalue 螺旋磁场和最低特征值的半经典渐近性
3区 数学
Documenta Mathematica Pub Date : 2023-10-16 DOI: 10.4171/dm/922
Bernard Helffer, Ayman Kachmar
{"title":"Helical magnetic fields and semi-classical asymptotics of the lowest eigenvalue","authors":"Bernard Helffer, Ayman Kachmar","doi":"10.4171/dm/922","DOIUrl":"https://doi.org/10.4171/dm/922","url":null,"abstract":"We study the 3D Neuman magnetic Laplacian in the presence of a semi-classical parameter and a non-uniform magnetic field with constant intensity. We determine a sharp two term asymptotics for the lowest eigenvalue, where the second term involves a quantity related to the magnetic field and the geometry of the domain. In the special case of the unit ball and a helical magnetic field, the concentration takes place on two symmetric points of the unit sphere.","PeriodicalId":50567,"journal":{"name":"Documenta Mathematica","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136113539","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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: 1
Simple purely infinite $C^*$-algebras associated with normal subshifts 与正规子移相关的简单纯无穷代数
3区 数学
Documenta Mathematica Pub Date : 2023-09-22 DOI: 10.4171/dm/915
Kengo Matsumoto
{"title":"Simple purely infinite $C^*$-algebras associated with normal subshifts","authors":"Kengo Matsumoto","doi":"10.4171/dm/915","DOIUrl":"https://doi.org/10.4171/dm/915","url":null,"abstract":"We will introduce a notion of normal subshifts. A subshift $(Lambda,sigma)$ is said to be normal if it satisfies a certain synchronizing property called $lambda$-synchronizing and is infinite as a set. We have lots of purely infinite simple $C^*$-algebras from normal subshifts including irreducible infinite sofic shifts, Dyck shifts, $beta$-shifts, and so on. Eventual conjugacy of one-sided normal subshifts and topological conjugacy of two-sided normal subshifts are characterized in terms of the associated $C^*$-algebras and the associated stabilized $C^*$-algebras with its diagonals and gauge actions, respectively.","PeriodicalId":50567,"journal":{"name":"Documenta Mathematica","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136010954","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
On relative bounds for interacting Fermion operators 相互作用费米子算子的相对界
3区 数学
Documenta Mathematica Pub Date : 2023-09-22 DOI: 10.4171/dm/919
Volker Bach, Robert Rauch
{"title":"On relative bounds for interacting Fermion operators","authors":"Volker Bach, Robert Rauch","doi":"10.4171/dm/919","DOIUrl":"https://doi.org/10.4171/dm/919","url":null,"abstract":"We consider a Hubbard model with nearest neighbor interaction on a discrete $d$-dimensional torus of length $L$ around its Hartree-Fock ground state and derive relative bounds of the effective interaction with respect to the effective kinetic energy. It is shown that there are no relative bounds uniform in $L$.","PeriodicalId":50567,"journal":{"name":"Documenta Mathematica","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136058995","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Cumulants, spreadability and the Campbell–Baker–Hausdorff series 累积量，可扩展性和Campbell-Baker-Hausdorff系列
3区 数学
Documenta Mathematica Pub Date : 2023-09-22 DOI: 10.4171/dm/923
Takahiro Hasebe, Franz Lehner
{"title":"Cumulants, spreadability and the Campbell–Baker–Hausdorff series","authors":"Takahiro Hasebe, Franz Lehner","doi":"10.4171/dm/923","DOIUrl":"https://doi.org/10.4171/dm/923","url":null,"abstract":"We define spreadability systems as a generalization of exchangeability systems in order to unify various notions of independence and cumulants known in noncommutative probability. In particular, our theory covers monotone independence and monotone cumulants which do not satisfy exchangeability. To this end we study generalized zeta and M\"obius functions in the context of the incidence algebra of the semilattice of ordered set partitions and prove an appropriate variant of Faa di Bruno's theorem. With the aid of this machinery we show that our cumulants cover most of the previously known cumulants. Due to noncommutativity of independence the behaviour of these cumulants with respect to independent random variables is more complicated than in the exchangeable case and the appearance of Goldberg coefficients exhibits the role of the Campbell-Baker-Hausdorff series in this context. In a final section we exhibit an interpretation of the Campbell-Baker-Hausdorff series as a sum of cumulants in a particular spreadability system, thus providing a new derivation of the Goldberg coefficients.","PeriodicalId":50567,"journal":{"name":"Documenta Mathematica","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136058994","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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: 6
Remarks on the diagonal embedding and strong 1-boundedness 关于对角嵌入和强1有界性的注释
3区 数学
Documenta Mathematica Pub Date : 2023-09-22 DOI: 10.4171/dm/918
Srivatsav Kunnawalkam Elayavalli
{"title":"Remarks on the diagonal embedding and strong 1-boundedness","authors":"Srivatsav Kunnawalkam Elayavalli","doi":"10.4171/dm/918","DOIUrl":"https://doi.org/10.4171/dm/918","url":null,"abstract":"We identify a large class of hyperbolic groups whose von Neumann algebras are not strongly 1-bounded: Sela's hyperbolic towers over $F_2$ subgroups. We also show that any intermediate subalgebra of the diagonal embedding of $L(F_2)$ into its ultrapower doesn't have Property (T).","PeriodicalId":50567,"journal":{"name":"Documenta Mathematica","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136011498","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Generalized positive energy representations of groups of jets 射流群的广义正能量表示
3区 数学
Documenta Mathematica Pub Date : 2023-09-22 DOI: 10.4171/dm/920
Milan Niestijl
{"title":"Generalized positive energy representations of groups of jets","authors":"Milan Niestijl","doi":"10.4171/dm/920","DOIUrl":"https://doi.org/10.4171/dm/920","url":null,"abstract":"","PeriodicalId":50567,"journal":{"name":"Documenta Mathematica","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136058993","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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: 1
A Borel–Weil theorem for the quantum Grassmannians 量子格拉斯曼的Borel-Weil定理
IF 0.9 3区 数学
Documenta Mathematica Pub Date : 2023-08-16 DOI: 10.4171/dm/913
A. Carotenuto, C. Mrozinski, Réamonn Ó Buachalla
{"title":"A Borel–Weil theorem for the quantum Grassmannians","authors":"A. Carotenuto, C. Mrozinski, Réamonn Ó Buachalla","doi":"10.4171/dm/913","DOIUrl":"https://doi.org/10.4171/dm/913","url":null,"abstract":"","PeriodicalId":50567,"journal":{"name":"Documenta Mathematica","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-08-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87594635","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
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