Pappas, Georgios; Rapoport, Michael \(p\)-adic shtukas and the theory of global and local Shimura varieties. (English) Zbl 07803092 Camb. J. Math. 12, No. 1, 1-164 (2024). MSC: 11G18 14G35 PDFBibTeX XMLCite \textit{G. Pappas} and \textit{M. Rapoport}, Camb. J. Math. 12, No. 1, 1--164 (2024; Zbl 07803092) Full Text: DOI arXiv
Dang, Nguyen Viet; Léautaud, Matthieu; Rivière, Gabriel Length orthospectrum of convex bodies on flat tori. (English) Zbl 07745273 Camb. J. Math. 11, No. 4, 917-1043 (2023). MSC: 53C22 53C60 35P05 11E45 PDFBibTeX XMLCite \textit{N. V. Dang} et al., Camb. J. Math. 11, No. 4, 917--1043 (2023; Zbl 07745273) Full Text: DOI arXiv
Chan, Charlotte; Ivanov, Alexander B. On loop Deligne-Lusztig varieties of Coxeter-type for inner forms of \(\text{GL}_n\). (English) Zbl 07693591 Camb. J. Math. 11, No. 2, 441-505 (2023). MSC: 11G25 14F20 20G25 PDFBibTeX XMLCite \textit{C. Chan} and \textit{A. B. Ivanov}, Camb. J. Math. 11, No. 2, 441--505 (2023; Zbl 07693591) Full Text: DOI arXiv
Allen, Patrick B.; Khare, Chandrashekhar; Thorne, Jack A. Modularity of \(\mathrm{GL}_2 (\mathbb{F}_p)\)-representations over CM fields. (English) Zbl 07693588 Camb. J. Math. 11, No. 1, 1-158 (2023). MSC: 11F80 11G05 11F75 PDFBibTeX XMLCite \textit{P. B. Allen} et al., Camb. J. Math. 11, No. 1, 1--158 (2023; Zbl 07693588) Full Text: DOI arXiv
Chang, Chieh-Yu; Chen, Yen-Tsung; Mishiba, Yoshinori Algebra structure of multiple zeta values in positive characteristic. (English) Zbl 1498.11184 Camb. J. Math. 10, No. 4, 743-783 (2022). MSC: 11M32 11J93 11R58 PDFBibTeX XMLCite \textit{C.-Y. Chang} et al., Camb. J. Math. 10, No. 4, 743--783 (2022; Zbl 1498.11184) Full Text: DOI arXiv
Hu, Yongquan; Wang, Haoran On the mod \(p\) cohomology for \(\mathrm{GL}_2\): the non-semisimple case. (English) Zbl 1503.11083 Camb. J. Math. 10, No. 2, 261-431 (2022). Reviewer: Kei Yuen Chan (Athens) MSC: 11F70 22E50 PDFBibTeX XMLCite \textit{Y. Hu} and \textit{H. Wang}, Camb. J. Math. 10, No. 2, 261--431 (2022; Zbl 1503.11083) Full Text: DOI arXiv
Katz, Nicholas M.; Tiep, Pham Huu Hypergeometric sheaves and finite symplectic and unitary groups. (English) Zbl 1486.11150 Camb. J. Math. 9, No. 3, 577-591 (2021). Reviewer: Vladimir P. Kostov (Nice) MSC: 11T23 14D05 20C33 20C15 20D06 20G40 PDFBibTeX XMLCite \textit{N. M. Katz} and \textit{P. H. Tiep}, Camb. J. Math. 9, No. 3, 577--591 (2021; Zbl 1486.11150) Full Text: DOI
Fintzen, Jessica; Shin, Sug Woo [Beuzart-Plessis, Raphaël; Paškūnas, Vytautas] Congruences of algebraic automorphic forms and supercuspidal representations (with appendices by Raphaël Beuzart-Plessis and Vytautas Paškūnas). (English) Zbl 1509.11040 Camb. J. Math. 9, No. 2, 351-429 (2021). MSC: 11F70 11F33 22E50 PDFBibTeX XMLCite \textit{J. Fintzen} and \textit{S. W. Shin}, Camb. J. Math. 9, No. 2, 351--429 (2021; Zbl 1509.11040) Full Text: DOI
Chen, Miaofen; Fargues, Laurent; Shen, Xu On the structure of some \(p\)-adic period domains. (English) Zbl 1484.11139 Camb. J. Math. 9, No. 1, 213-267 (2021). MSC: 11G18 14G20 PDFBibTeX XMLCite \textit{M. Chen} et al., Camb. J. Math. 9, No. 1, 213--267 (2021; Zbl 1484.11139) Full Text: DOI arXiv
Liu, Yifeng [Li, Chao; Zhu, Yihang] Fourier-Jacobi cycles and arithmetic relative trace formula. (English) Zbl 1472.11194 Camb. J. Math. 9, No. 1, 1-147 (2021). MSC: 11G18 11G40 14G40 PDFBibTeX XMLCite \textit{Y. Liu}, Camb. J. Math. 9, No. 1, 1--147 (2021; Zbl 1472.11194) Full Text: DOI arXiv
Breuil, Christophe; Ding, Yiwen Higher \(\mathcal{L} \)-invariants for \(\operatorname{GL}_3 (\mathbb{Q}_p)\) and local-global compatibility. (English) Zbl 1469.11454 Camb. J. Math. 8, No. 4, 775-951 (2020). MSC: 11S23 22E35 22E50 PDFBibTeX XMLCite \textit{C. Breuil} and \textit{Y. Ding}, Camb. J. Math. 8, No. 4, 775--951 (2020; Zbl 1469.11454) Full Text: DOI arXiv
Kylling, Jonas Irgens; Röndigs, Oliver; Østvær, Paul Arne Hermitian \(K\)-theory, Dedekind \(\zeta \)-functions, and quadratic forms over rings of integers in number fields. (English) Zbl 1456.11221 Camb. J. Math. 8, No. 3, 505-607 (2020). MSC: 11R70 11R42 14F42 19E15 19F27 PDFBibTeX XMLCite \textit{J. I. Kylling} et al., Camb. J. Math. 8, No. 3, 505--607 (2020; Zbl 1456.11221) Full Text: DOI arXiv
Esnault, Hélène; Kerz, Moritz Arithmetic subspaces of moduli spaces of rank one local systems. (English) Zbl 1460.14051 Camb. J. Math. 8, No. 3, 453-478 (2020). MSC: 14F20 11G99 14M35 PDFBibTeX XMLCite \textit{H. Esnault} and \textit{M. Kerz}, Camb. J. Math. 8, No. 3, 453--478 (2020; Zbl 1460.14051) Full Text: DOI arXiv
Zhou, Rong; Zhu, Yihang Twisted orbital integrals and irreducible components of affine Deligne-Lusztig varieties. (English) Zbl 1457.11089 Camb. J. Math. 8, No. 1, 149-241 (2020). MSC: 11G18 22E35 PDFBibTeX XMLCite \textit{R. Zhou} and \textit{Y. Zhu}, Camb. J. Math. 8, No. 1, 149--241 (2020; Zbl 1457.11089) Full Text: DOI arXiv
Pollack, Aaron Lifting laws and arithmetic invariant theory. (English) Zbl 1432.16037 Camb. J. Math. 6, No. 4, 347-449 (2018). MSC: 16W22 11S90 PDFBibTeX XMLCite \textit{A. Pollack}, Camb. J. Math. 6, No. 4, 347--449 (2018; Zbl 1432.16037) Full Text: DOI arXiv
Görtz, Ulrich; He, Xuhua Erratum to: “Basic loci of Coxeter type in Shimura varieties”. (English) Zbl 1408.14091 Camb. J. Math. 6, No. 1, 89-92 (2018). MSC: 14G35 11G18 14M15 20G25 PDFBibTeX XMLCite \textit{U. Görtz} and \textit{X. He}, Camb. J. Math. 6, No. 1, 89--92 (2018; Zbl 1408.14091) Full Text: DOI
Bringmann, Kathrin; Kaszián, Jonas; Rolen, Larry Indefinite theta functions arising in Gromov-Witten theory of elliptic orbifolds. (English) Zbl 1408.14176 Camb. J. Math. 6, No. 1, 25-57 (2018). MSC: 14N35 33E30 81T60 11F99 PDFBibTeX XMLCite \textit{K. Bringmann} et al., Camb. J. Math. 6, No. 1, 25--57 (2018; Zbl 1408.14176) Full Text: DOI arXiv
Castella, Francesc On the \(p\)-part of the Birch-Swinnerton-Dyer formula for multiplicative primes. (English) Zbl 1400.11139 Camb. J. Math. 6, No. 1, 1-23 (2018). Reviewer: Kazuma Morita (Sapporo) MSC: 11R23 11G40 11G05 PDFBibTeX XMLCite \textit{F. Castella}, Camb. J. Math. 6, No. 1, 1--23 (2018; Zbl 1400.11139) Full Text: DOI arXiv
Jetchev, Dimitar; Skinner, Christopher; Wan, Xin The Birch and Swinnerton-Dyer formula for elliptic curves of analytic rank one. (English) Zbl 1401.11103 Camb. J. Math. 5, No. 3, 369-434 (2017). Reviewer: Kazuma Morita (Sapporo) MSC: 11G05 11G40 PDFBibTeX XMLCite \textit{D. Jetchev} et al., Camb. J. Math. 5, No. 3, 369--434 (2017; Zbl 1401.11103) Full Text: DOI arXiv
Nakamura, Kentaro Local \(\varepsilon\)-isomorphisms for rank two \(p\)-adic representations of \(\operatorname{Gal}(\overline{\mathbb{Q}}_p / \mathbb{Q}_p)\) and a functional equation of Kato’s Euler system. (English) Zbl 1426.11055 Camb. J. Math. 5, No. 3, 281-368 (2017). MSC: 11F80 11F85 11S25 PDFBibTeX XMLCite \textit{K. Nakamura}, Camb. J. Math. 5, No. 3, 281--368 (2017; Zbl 1426.11055) Full Text: DOI arXiv
Rapoport, Michael; Zink, Thomas On the Drinfeld moduli problem of \(p\)-divisible groups. (English) Zbl 1402.14062 Camb. J. Math. 5, No. 2, 229-279 (2017). Reviewer: Ulrich Görtz (Essen) MSC: 14L05 14D20 11G18 PDFBibTeX XMLCite \textit{M. Rapoport} and \textit{T. Zink}, Camb. J. Math. 5, No. 2, 229--279 (2017; Zbl 1402.14062) Full Text: DOI arXiv
Kings, Guido; Loeffler, David; Zerbes, Sarah Livia Rankin-Eisenstein classes and explicit reciprocity laws. (English) Zbl 1428.11103 Camb. J. Math. 5, No. 1, 1-122 (2017). MSC: 11F85 11F67 11G40 14G35 PDFBibTeX XMLCite \textit{G. Kings} et al., Camb. J. Math. 5, No. 1, 1--122 (2017; Zbl 1428.11103) Full Text: DOI arXiv
Chang, Chieh-Yu Linear relations among double zeta values in positive characteristic. (English) Zbl 1421.11065 Camb. J. Math. 4, No. 3, 289-331 (2016). MSC: 11M32 11G09 11J93 11M38 11R58 PDFBibTeX XMLCite \textit{C.-Y. Chang}, Camb. J. Math. 4, No. 3, 289--331 (2016; Zbl 1421.11065) Full Text: DOI arXiv
Caraiani, Ana; Emerton, Matthew; Gee, Toby; Geraghty, David; Paškūnas, Vytautas; Shin, Sug Woo Patching and the \(p\)-adic local Langlands correspondence. (English) Zbl 1403.11073 Camb. J. Math. 4, No. 2, 197-287 (2016). MSC: 11S37 22E50 11F85 PDFBibTeX XMLCite \textit{A. Caraiani} et al., Camb. J. Math. 4, No. 2, 197--287 (2016; Zbl 1403.11073) Full Text: DOI arXiv
Bhargava, Manjul; Ho, Wei Coregular spaces and genus one curves. (English) Zbl 1342.14074 Camb. J. Math. 4, No. 1, 1-119 (2016). Reviewer: Michel Waldschmidt (Paris) MSC: 14H60 11E12 11E20 11E76 11G05 11R45 14H52 PDFBibTeX XMLCite \textit{M. Bhargava} and \textit{W. Ho}, Camb. J. Math. 4, No. 1, 1--119 (2016; Zbl 1342.14074) Full Text: DOI arXiv
Kim, Dohyeong On the transfer congruence between \(p\)-adic Hecke \(L\)-functions. (English) Zbl 1333.11111 Camb. J. Math. 3, No. 3, 355-438 (2015). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11S40 11R23 11F41 PDFBibTeX XMLCite \textit{D. Kim}, Camb. J. Math. 3, No. 3, 355--438 (2015; Zbl 1333.11111) Full Text: DOI arXiv
Görtz, Ulrich; He, Xuhua Basic loci of Coxeter type in Shimura varieties. (English) Zbl 1350.14026 Camb. J. Math. 3, No. 3, 323-353 (2015); erratum ibid. 6, No. 1, 89–92 (2018). Reviewer: Chia-Fu Yu (Taipei) MSC: 14G35 11G18 14M15 20G25 PDFBibTeX XMLCite \textit{U. Görtz} and \textit{X. He}, Camb. J. Math. 3, No. 3, 323--353 (2015; Zbl 1350.14026) Full Text: DOI
Bhargava, Manjul; Kane, Daniel M.; Lenstra, Hendrik W. jun.; Poonen, Bjorn; Rains, Eric Modeling the distribution of ranks, Selmer groups, and Shafarevich-Tate groups of elliptic curves. (English) Zbl 1329.14071 Camb. J. Math. 3, No. 3, 275-321 (2015). Reviewer: Andrea Bandini (Parma) MSC: 14H52 11G05 14G15 PDFBibTeX XMLCite \textit{M. Bhargava} et al., Camb. J. Math. 3, No. 3, 275--321 (2015; Zbl 1329.14071) Full Text: DOI arXiv
Zhang, Wei Selmer groups and the indivisibility of Heegner points. (English) Zbl 1390.11091 Camb. J. Math. 2, No. 2, 191-253 (2014). MSC: 11G05 11G40 PDFBibTeX XMLCite \textit{W. Zhang}, Camb. J. Math. 2, No. 2, 191--253 (2014; Zbl 1390.11091) Full Text: DOI
Tian, Ye Congruent numbers and Heegner points. (English) Zbl 1303.11067 Camb. J. Math. 2, No. 1, 117-161 (2014). Reviewer: Maciej Ulas (Kraków) MSC: 11G05 11D25 11G40 PDFBibTeX XMLCite \textit{Y. Tian}, Camb. J. Math. 2, No. 1, 117--161 (2014; Zbl 1303.11067) Full Text: DOI
Templier, Nicolas Large values of modular forms. (English) Zbl 1307.11062 Camb. J. Math. 2, No. 1, 91-116 (2014). Reviewer: Sandeep Varma (Mumbai) MSC: 11F70 11F41 PDFBibTeX XMLCite \textit{N. Templier}, Camb. J. Math. 2, No. 1, 91--116 (2014; Zbl 1307.11062) Full Text: DOI arXiv
Charollois, Pierre; Dasgupta, Samit Integral Eisenstein cocycles on \(\mathrm{GL}_n\). I: Sczech’s cocycle and \(p\)-adic \(L\)-functions of totally real fields. (English) Zbl 1353.11074 Camb. J. Math. 2, No. 1, 49-90 (2014). Reviewer: Denis Ibadula (Constanța) MSC: 11F41 11F67 11F70 PDFBibTeX XMLCite \textit{P. Charollois} and \textit{S. Dasgupta}, Camb. J. Math. 2, No. 1, 49--90 (2014; Zbl 1353.11074) Full Text: DOI arXiv
Colmez, Pierre; Dospinescu, Gabriel; Paškūnas, Vytautas The \(p\)-adic local Langlands correspondence for \(\mathrm{GL}_2(\mathbb{Q}_p)\). (English) Zbl 1312.11090 Camb. J. Math. 2, No. 1, 1-47 (2014). Reviewer: Dubravka Ban (Carbondale) MSC: 11S37 11F80 22E50 PDFBibTeX XMLCite \textit{P. Colmez} et al., Camb. J. Math. 2, No. 1, 1--47 (2014; Zbl 1312.11090) Full Text: DOI arXiv
Scholze, Peter; Weinstein, Jared Moduli of \(p\)-divisible groups. (English) Zbl 1349.14149 Camb. J. Math. 1, No. 2, 145-237 (2013). MSC: 14L05 14C30 11G25 14D20 PDFBibTeX XMLCite \textit{P. Scholze} and \textit{J. Weinstein}, Camb. J. Math. 1, No. 2, 145--237 (2013; Zbl 1349.14149) Full Text: DOI arXiv
Chenevier, Gaëtan; Harris, Michael Construction of automorphic Galois representations. II. (English) Zbl 1310.11062 Camb. J. Math. 1, No. 1, 53-73 (2013). Reviewer: Imin Chen (Burnaby) MSC: 11F80 11F85 11F70 11S37 22E55 22E50 PDFBibTeX XMLCite \textit{G. Chenevier} and \textit{M. Harris}, Camb. J. Math. 1, No. 1, 53--73 (2013; Zbl 1310.11062) Full Text: DOI