Hahn, Heekyoung Poles of triple product \(L\)-functions involving monomial representations. (English) Zbl 07330417 Int. J. Number Theory 17, No. 2, 479-486 (2021). MSC: 11F70 11F66 PDF BibTeX XML Cite \textit{H. Hahn}, Int. J. Number Theory 17, No. 2, 479--486 (2021; Zbl 07330417) Full Text: DOI
Kim, Yeansu Langlands-Shahidi \(L\)-functions for \(GSpin\) groups and the generic Arthur packet conjecture. (English) Zbl 07319100 Trans. Am. Math. Soc. 374, No. 4, 2559-2580 (2021). MSC: 11F70 22E50 PDF BibTeX XML Cite \textit{Y. Kim}, Trans. Am. Math. Soc. 374, No. 4, 2559--2580 (2021; Zbl 07319100) Full Text: DOI
Xu, Bin On local descent to metaplectic groups and local theta correspondence. (English) Zbl 07314982 Acta Math. Sin., Engl. Ser. 37, No. 1, 142-172 (2021). Reviewer: Caihua Luo (Göteborg) MSC: 11F70 22E50 20G25 PDF BibTeX XML Cite \textit{B. Xu}, Acta Math. Sin., Engl. Ser. 37, No. 1, 142--172 (2021; Zbl 07314982) Full Text: DOI
Xie, Bing Yong Derivatives of Frobenius and derivatives of Hodge-Tate weights. (English) Zbl 07314975 Acta Math. Sin., Engl. Ser. 37, No. 1, 1-34 (2021). MSC: 11S25 PDF BibTeX XML Cite \textit{B. Y. Xie}, Acta Math. Sin., Engl. Ser. 37, No. 1, 1--34 (2021; Zbl 07314975) Full Text: DOI
Xu, Bin Nonarchimedean components of non-endoscopic automorphic representations for quasisplit \(Sp(N)\) and \(O(N)\). (English) Zbl 07303598 Math. Z. 297, No. 1-2, 885-921 (2021). MSC: 22E50 11F70 22E50 22E55 11F66 11F37 11F70 PDF BibTeX XML Cite \textit{B. Xu}, Math. Z. 297, No. 1--2, 885--921 (2021; Zbl 07303598) Full Text: DOI
Mitra, A.; Offen, Omer On Sp-distinguished of the quasi-split unitary groups. (English) Zbl 07302692 J. Inst. Math. Jussieu 20, No. 1, 225-276 (2021). MSC: 22E50 11F70 PDF BibTeX XML Cite \textit{A. Mitra} and \textit{O. Offen}, J. Inst. Math. Jussieu 20, No. 1, 225--276 (2021; Zbl 07302692) Full Text: DOI
Zenteno, Adrián Automorphic Galois representations and the inverse Galois problem for certain groups of type \(D_m\). (English) Zbl 07301319 Proc. Am. Math. Soc. 149, No. 1, 89-95 (2021). MSC: 11F80 12F12 20G40 PDF BibTeX XML Cite \textit{A. Zenteno}, Proc. Am. Math. Soc. 149, No. 1, 89--95 (2021; Zbl 07301319) Full Text: DOI
Henniart, Guy; Lomelí, Luis Asai cube \(L\)-functions and the local Langlands correspondence. (English) Zbl 07300434 J. Number Theory 221, 247-269 (2021). MSC: 11F66 11F70 PDF BibTeX XML Cite \textit{G. Henniart} and \textit{L. Lomelí}, J. Number Theory 221, 247--269 (2021; Zbl 07300434) Full Text: DOI
Ye, Rongqing; Zelingher, Elad Epsilon factors of representations of finite general linear groups. (English) Zbl 07300427 J. Number Theory 221, 122-142 (2021). MSC: 11L05 20C33 PDF BibTeX XML Cite \textit{R. Ye} and \textit{E. Zelingher}, J. Number Theory 221, 122--142 (2021; Zbl 07300427) Full Text: DOI
Gan, Wee Teck; Gross, Benedict H.; Prasad, Dipendra Branching laws for classical groups: the non-tempered case. (English) Zbl 07305886 Compos. Math. 156, No. 11, 2298-2367 (2020). MSC: 11F70 22E55 PDF BibTeX XML Cite \textit{W. T. Gan} et al., Compos. Math. 156, No. 11, 2298--2367 (2020; Zbl 07305886) Full Text: DOI
Allen, Patrick B.; Newton, James Monodromy for some rank two Galois representations over CM fields. (English) Zbl 07304474 Doc. Math. 25, 2487-2506 (2020). MSC: 11F80 11R39 PDF BibTeX XML Cite \textit{P. B. Allen} and \textit{J. Newton}, Doc. Math. 25, 2487--2506 (2020; Zbl 07304474) Full Text: DOI
Zhou, Rong Mod \(p\) isogeny classes on Shimura varieties with parahoric level structure. (English) Zbl 07292322 Duke Math. J. 169, No. 15, 2937-3031 (2020). MSC: 11A99 14G35 PDF BibTeX XML Cite \textit{R. Zhou}, Duke Math. J. 169, No. 15, 2937--3031 (2020; Zbl 07292322) Full Text: DOI Euclid
Mieda, Yoichi Parity of the Langlands parameters of conjugate self-dual representations of \(\text{GL}(n)\) and the local Jacquet-Langlands correspondence. (English) Zbl 07286301 J. Inst. Math. Jussieu 19, No. 6, 2017-2043 (2020). MSC: 11F70 11G25 22E50 PDF BibTeX XML Cite \textit{Y. Mieda}, J. Inst. Math. Jussieu 19, No. 6, 2017--2043 (2020; Zbl 07286301) Full Text: DOI
Feng, Yongqi; Opdam, Eric On a uniqueness property of supercuspidal unipotent representations. (English) Zbl 07281410 Adv. Math. 375, Article ID 107406, 62 p. (2020). MSC: 20C08 22D25 43A30 PDF BibTeX XML Cite \textit{Y. Feng} and \textit{E. Opdam}, Adv. Math. 375, Article ID 107406, 62 p. (2020; Zbl 07281410) Full Text: DOI
Koshikawa, Teruhisa Vanishing theorems for the mod \(p\) cohomology of some simple Shimura varieties. (English) Zbl 07276274 Forum Math. Sigma 8, Paper No. e38, 9 p. (2020). Reviewer: Lei Yang (Beijing) MSC: 11G18 11F33 11F80 PDF BibTeX XML Cite \textit{T. Koshikawa}, Forum Math. Sigma 8, Paper No. e38, 9 p. (2020; Zbl 07276274) Full Text: DOI
Rapoport, M.; Smithling, B.; Zhang, W. Arithmetic diagonal cycles on unitary Shimura varieties. (English) Zbl 07270080 Compos. Math. 156, No. 9, 1745-1824 (2020). Reviewer: Riccardo Pengo (Lyon) MSC: 14G35 11F67 14G40 PDF BibTeX XML Cite \textit{M. Rapoport} et al., Compos. Math. 156, No. 9, 1745--1824 (2020; Zbl 07270080) Full Text: DOI
Pascal, Boyer \(p\)-stabilization in higher dimension. (English) Zbl 07268673 J. Ramanujan Math. Soc. 35, No. 2, 191-199 (2020). MSC: 11 PDF BibTeX XML Cite \textit{B. Pascal}, J. Ramanujan Math. Soc. 35, No. 2, 191--199 (2020; Zbl 07268673) Full Text: Link
Plymen, Roger Epsilon factors as algebraic characters on the smooth dual of \(\mathrm{GL}_n\). (English) Zbl 07265633 Dąbrowski, Ludwik (ed.) et al., Quantum dynamics. Dedicated to Professor Paul Baum. Warsaw: Polish Academy of Sciences, Institute of Mathematics (ISBN 978-83-86806-46-1/pbk). Banach Center Publications 120, 11-21 (2020). MSC: 22E50 PDF BibTeX XML Cite \textit{R. Plymen}, Banach Cent. Publ. 120, 11--21 (2020; Zbl 07265633) Full Text: DOI
Suzuki, Miyu Quaternion distinguished generic representations of \(GL_{2n}\). (English) Zbl 07247275 Isr. J. Math. 238, No. 2, 871-899 (2020). MSC: 22 16 PDF BibTeX XML Cite \textit{M. Suzuki}, Isr. J. Math. 238, No. 2, 871--899 (2020; Zbl 07247275) Full Text: DOI
Magaard, Kay; Savin, Gordan Computing finite Galois groups arising from automorphic forms. (English) Zbl 07239068 J. Algebra 561, 256-272 (2020). MSC: 11F80 12F12 PDF BibTeX XML Cite \textit{K. Magaard} and \textit{G. Savin}, J. Algebra 561, 256--272 (2020; Zbl 07239068) Full Text: DOI
Hida, Haruzo; Tilouine, Jacques Symmetric power congruence ideals and Selmer groups. (English) Zbl 07238543 J. Inst. Math. Jussieu 19, No. 5, 1521-1572 (2020). MSC: 11F33 11F80 PDF BibTeX XML Cite \textit{H. Hida} and \textit{J. Tilouine}, J. Inst. Math. Jussieu 19, No. 5, 1521--1572 (2020; Zbl 07238543) Full Text: DOI
Tokimoto, Kazuki Affinoids in the Lubin-Tate perfectoid space and special cases of the local Langlands correspondence. (English) Zbl 07229160 Math. Ann. 377, No. 3-4, 1339-1425 (2020). MSC: 11F77 11F80 14G45 PDF BibTeX XML Cite \textit{K. Tokimoto}, Math. Ann. 377, No. 3--4, 1339--1425 (2020; Zbl 07229160) Full Text: DOI
Kurinczuk, Robert; Matringe, Nadir A characterization of the relation between two \(\ell\)-modular correspondences. (Une caractérisation de la relation entre deux correspondances \(\ell\)-modulaires.) (English. French summary) Zbl 07226777 C. R., Math., Acad. Sci. Paris 358, No. 2, 201-209 (2020). MSC: 11 PDF BibTeX XML Cite \textit{R. Kurinczuk} and \textit{N. Matringe}, C. R., Math., Acad. Sci. Paris 358, No. 2, 201--209 (2020; Zbl 07226777) Full Text: DOI
Pilloni, V. Higher coherent cohomology and \(p\)-adic modular forms of singular weights. (English) Zbl 07226649 Duke Math. J. 169, No. 9, 1647-1807 (2020). MSC: 11F33 11G18 PDF BibTeX XML Cite \textit{V. Pilloni}, Duke Math. J. 169, No. 9, 1647--1807 (2020; Zbl 07226649) Full Text: DOI Euclid
Tsushima, Takahiro Good reduction of affinoids in the Lubin-Tate curve in even equal characteristic. I. (English) Zbl 07207002 J. Number Theory 214, 414-439 (2020). MSC: 11G20 11F80 PDF BibTeX XML Cite \textit{T. Tsushima}, J. Number Theory 214, 414--439 (2020; Zbl 07207002) Full Text: DOI
Devalapurkar, Sanath Roots of unity in \(K(n)\)-local rings. (English) Zbl 1439.55010 Proc. Am. Math. Soc. 148, No. 7, 3187-3194 (2020). MSC: 55P43 55S12 PDF BibTeX XML Cite \textit{S. Devalapurkar}, Proc. Am. Math. Soc. 148, No. 7, 3187--3194 (2020; Zbl 1439.55010) Full Text: DOI
Mitra, Arnab; Sayag, Eitan Models of representations and Langlands functoriality. (English) Zbl 07201244 Can. J. Math. 72, No. 3, 676-707 (2020). MSC: 22E50 11F70 PDF BibTeX XML Cite \textit{A. Mitra} and \textit{E. Sayag}, Can. J. Math. 72, No. 3, 676--707 (2020; Zbl 07201244) Full Text: DOI
Jo, Yeongseong Derivatives and exceptional poles of the local exterior square \(L\)-function for \(\mathrm{GL}_m\). (English) Zbl 07179311 Math. Z. 294, No. 3-4, 1687-1725 (2020). Reviewer: Solomon Friedberg (Chestnut Hill) MSC: 11F70 22E50 11S37 PDF BibTeX XML Cite \textit{Y. Jo}, Math. Z. 294, No. 3--4, 1687--1725 (2020; Zbl 07179311) Full Text: DOI
Colmez, Pierre; Dospinescu, Gabriel; Nizioł, Wiesława \(p\)-adic cohomology of the Drinfeld tower: the 1-dimensional case. (Cohomologie \(p\)-adique de la tour de Drinfeld: Le cas de la dimension 1.) (French. English summary) Zbl 1451.11029 J. Am. Math. Soc. 33, No. 2, 311-362 (2020). Reviewer: Lekbir Chakri (Rabat) MSC: 11E95 11F80 11F85 14F30 14G35 14H99 20G25 22E35 PDF BibTeX XML Cite \textit{P. Colmez} et al., J. Am. Math. Soc. 33, No. 2, 311--362 (2020; Zbl 1451.11029) Full Text: DOI
Solleveld, Maarten Langlands parameters, functoriality and Hecke algebras. (English) Zbl 07179049 Pac. J. Math. 304, No. 1, 209-302 (2020). MSC: 20G25 11S37 20C08 PDF BibTeX XML Cite \textit{M. Solleveld}, Pac. J. Math. 304, No. 1, 209--302 (2020; Zbl 07179049) Full Text: DOI
Johansson, Christian; Newton, James; Sorensen, Claus Local Langlands correspondence in rigid families. (English) Zbl 07179044 Pac. J. Math. 304, No. 1, 65-102 (2020). MSC: 11F70 11F80 PDF BibTeX XML Cite \textit{C. Johansson} et al., Pac. J. Math. 304, No. 1, 65--102 (2020; Zbl 07179044) Full Text: DOI
Bergdall, John Smoothness of definite unitary eigenvarieties at critical points. (English) Zbl 07167729 J. Reine Angew. Math. 759, 29-60 (2020). MSC: 53 13 PDF BibTeX XML Cite \textit{J. Bergdall}, J. Reine Angew. Math. 759, 29--60 (2020; Zbl 07167729) Full Text: DOI
Choi, Dohoon; Choi, Suh Hyun Finiteness for crystalline representations of the absolute Galois group of a totally real field. (English) Zbl 07152994 J. Number Theory 209, 312-329 (2020). MSC: 11F80 11F70 PDF BibTeX XML Cite \textit{D. Choi} and \textit{S. H. Choi}, J. Number Theory 209, 312--329 (2020; Zbl 07152994) Full Text: DOI
Herzig, Florian; Kozioł, Karol; Vignéras, Marie-France On the existence of admissible supersingular representations of \(p\)-adic reductive groups. (English) Zbl 07151185 Forum Math. Sigma 8, Paper No. e2, 73 p. (2020). MSC: 22E50 11F70 20C08 PDF BibTeX XML Cite \textit{F. Herzig} et al., Forum Math. Sigma 8, Paper No. e2, 73 p. (2020; Zbl 07151185) Full Text: DOI arXiv
Imai, Naoki; Mieda, Yoichi Potentially good reduction loci of Shimura varieties. (English) Zbl 1423.14177 Tunis. J. Math. 2, No. 2, 399-454 (2020). MSC: 14G35 11F70 22E50 PDF BibTeX XML Cite \textit{N. Imai} and \textit{Y. Mieda}, Tunis. J. Math. 2, No. 2, 399--454 (2020; Zbl 1423.14177) Full Text: DOI
Goresky, Mark; Tai, Yung sheng Ordinary points \(\bmod p\) of \(\operatorname{GL}_n(\mathbb{R})\)-locally symmetric spaces. (English) Zbl 07179005 Pac. J. Math. 303, No. 1, 165-215 (2019). MSC: 11F99 11G25 14G35 14K10 PDF BibTeX XML Cite \textit{M. Goresky} and \textit{Y. s. Tai}, Pac. J. Math. 303, No. 1, 165--215 (2019; Zbl 07179005) Full Text: DOI
Adrian, Moshe; Kaplan, Eyal The Langlands parameter of a simple supercuspidal representation: symplectic groups. (English) Zbl 07150324 Ramanujan J. 50, No. 3, 589-619 (2019). MSC: 11S37 22E50 11F85 22E55 PDF BibTeX XML Cite \textit{M. Adrian} and \textit{E. Kaplan}, Ramanujan J. 50, No. 3, 589--619 (2019; Zbl 07150324) Full Text: DOI arXiv
Oi, Masao Endoscopic lifting of simple supercuspidal representations of unramified \(\mathrm{U}_N\) to \(\mathrm{GL}_N\). (English) Zbl 1437.22008 Publ. Res. Inst. Math. Sci. 55, No. 4, 895-938 (2019). Reviewer: Yuval Z. Flicker (Ariel) MSC: 22E50 11F70 11L05 PDF BibTeX XML Cite \textit{M. Oi}, Publ. Res. Inst. Math. Sci. 55, No. 4, 895--938 (2019; Zbl 1437.22008) Full Text: DOI
Le, Daniel; Hung, Bao V. Le; Levin, Brandon Weight elimination in Serre-type conjectures. (English) Zbl 07131292 Duke Math. J. 168, No. 13, 2433-2506 (2019). MSC: 11F80 11F33 11F75 20C33 PDF BibTeX XML Cite \textit{D. Le} et al., Duke Math. J. 168, No. 13, 2433--2506 (2019; Zbl 07131292) Full Text: DOI Euclid
Chiriac, Liubomir; Jorza, Andrei Comparing Hecke coefficients of automorphic representations. (English) Zbl 07130360 Trans. Am. Math. Soc. 372, No. 12, 8871-8896 (2019). MSC: 11F30 11F41 PDF BibTeX XML Cite \textit{L. Chiriac} and \textit{A. Jorza}, Trans. Am. Math. Soc. 372, No. 12, 8871--8896 (2019; Zbl 07130360) Full Text: DOI arXiv
Kionke, Steffen; Klopsch, Benjamin Zeta functions associated to admissible representations of compact \(p\)-adic Lie groups. (English) Zbl 07130323 Trans. Am. Math. Soc. 372, No. 11, 7677-7733 (2019). MSC: 22E50 20E18 11M41 20C15 20G25 PDF BibTeX XML Cite \textit{S. Kionke} and \textit{B. Klopsch}, Trans. Am. Math. Soc. 372, No. 11, 7677--7733 (2019; Zbl 07130323) Full Text: DOI arXiv
Hamacher, Paul; Kim, Wansu \(l\)-adic étale cohomology of Shimura varieties of Hodge type with non-trivial coefficients. (English) Zbl 1440.14134 Math. Ann. 375, No. 3-4, 973-1044 (2019). MSC: 14G35 14F20 11G18 PDF BibTeX XML Cite \textit{P. Hamacher} and \textit{W. Kim}, Math. Ann. 375, No. 3--4, 973--1044 (2019; Zbl 1440.14134) Full Text: DOI arXiv
Bushnell, Colin J.; Henniart, Guy Local Langlands correspondence and ramification for Carayol representations. (English) Zbl 1431.22017 Compos. Math. 155, No. 10, 1959-2038 (2019). Reviewer: J. G. M. Mars (Utrecht) MSC: 22E50 11S37 11S15 PDF BibTeX XML Cite \textit{C. J. Bushnell} and \textit{G. Henniart}, Compos. Math. 155, No. 10, 1959--2038 (2019; Zbl 1431.22017) Full Text: DOI arXiv
Görtz, Ulrich; He, Xuhua; Nie, Sian Fully Hodge-Newton decomposable Shimura varieties. (English) Zbl 07107427 Peking Math. J. 2, No. 2, 99-154 (2019). MSC: 11G18 14G35 20G25 14M15 13F35 PDF BibTeX XML Cite \textit{U. Görtz} et al., Peking Math. J. 2, No. 2, 99--154 (2019; Zbl 07107427) Full Text: DOI
Hartl, Urs; Singh, Rajneesh Kumar Local Shtukas and divisible local Anderson modules. (English) Zbl 07106608 Can. J. Math. 71, No. 5, 1163-1207 (2019). MSC: 11G09 13A35 14L05 PDF BibTeX XML Cite \textit{U. Hartl} and \textit{R. K. Singh}, Can. J. Math. 71, No. 5, 1163--1207 (2019; Zbl 07106608) Full Text: DOI arXiv
Corbett, Andrew An explicit conductor formula for \(\operatorname{GL}_n\times\operatorname{GL}_1\). (English) Zbl 07104707 Rocky Mt. J. Math. 49, No. 4, 1093-1110 (2019). MSC: 11R52 11S37 11S40 PDF BibTeX XML Cite \textit{A. Corbett}, Rocky Mt. J. Math. 49, No. 4, 1093--1110 (2019; Zbl 07104707) Full Text: DOI Euclid
Tsushima, Takahiro Good reduction of affinoids in the Lubin-Tate curve in even equal characteristic. II. (English) Zbl 07096772 Res. Number Theory 5, No. 3, Paper No. 28, 28 p. (2019). MSC: 11G25 11F80 PDF BibTeX XML Cite \textit{T. Tsushima}, Res. Number Theory 5, No. 3, Paper No. 28, 28 p. (2019; Zbl 07096772) Full Text: DOI
Goldring, Wushi; Koskivirta, Jean-Stefan Strata Hasse invariants, Hecke algebras and Galois representations. (English) Zbl 1431.11071 Invent. Math. 217, No. 3, 887-984 (2019). Reviewer: Lei Yang (Beijing) MSC: 11F80 14G35 14D24 11F70 PDF BibTeX XML Cite \textit{W. Goldring} and \textit{J.-S. Koskivirta}, Invent. Math. 217, No. 3, 887--984 (2019; Zbl 1431.11071) Full Text: DOI arXiv
Hamacher, Paul The product structure of Newton strata in the good reduction of Shimura varieties of Hodge type. (English) Zbl 1430.14058 J. Algebr. Geom. 28, No. 4, 721-749 (2019). Reviewer: Lei Yang (Beijing) MSC: 14G35 11G18 PDF BibTeX XML Cite \textit{P. Hamacher}, J. Algebr. Geom. 28, No. 4, 721--749 (2019; Zbl 1430.14058) Full Text: DOI
Gee, Toby; Taïbi, Olivier Arthur’s multiplicity formula for \(\mathrm{GSp}_4\) and restriction to \(\mathrm{Sp}_4\). (La Formule de multiplicité d’Arthur pour \(\mathrm{GSp}_4\) et restriction à \(\mathrm{Sp}_4\).) (English. French summary) Zbl 07088011 J. Éc. Polytech., Math. 6, 469-535 (2019). MSC: 11F72 11F46 11F55 PDF BibTeX XML Cite \textit{T. Gee} and \textit{O. Taïbi}, J. Éc. Polytech., Math. 6, 469--535 (2019; Zbl 07088011) Full Text: DOI
Li, Wanlin; Mantovan, Elena; Pries, Rachel; Tang, Yunqing Newton polygons arising from special families of cyclic covers of the projective line. (English) Zbl 07086426 Res. Number Theory 5, No. 1, Paper No. 12, 31 p. (2019). MSC: 11G18 11G20 11M38 14G10 14G35 11G10 14H10 14H30 14H40 14K22 PDF BibTeX XML Cite \textit{W. Li} et al., Res. Number Theory 5, No. 1, Paper No. 12, 31 p. (2019; Zbl 07086426) Full Text: DOI
Binder, John Fields of rationality of automorphic representations: the case of unitary groups. (English) Zbl 07081785 J. Number Theory 203, 32-67 (2019). MSC: 11F70 11F55 PDF BibTeX XML Cite \textit{J. Binder}, J. Number Theory 203, 32--67 (2019; Zbl 07081785) Full Text: DOI arXiv
Beuzart-Plessis, Raphaël; Wan, Chen A local trace formula for the generalized Shalika model. (English) Zbl 1426.22011 Duke Math. J. 168, No. 7, 1303-1385 (2019). Reviewer: Zhengyu Mao (Newark) MSC: 22E50 11F72 11F70 PDF BibTeX XML Cite \textit{R. Beuzart-Plessis} and \textit{C. Wan}, Duke Math. J. 168, No. 7, 1303--1385 (2019; Zbl 1426.22011) Full Text: DOI Euclid
Geraghty, David Modularity lifting theorems for ordinary Galois representations. (English) Zbl 07062604 Math. Ann. 373, No. 3-4, 1341-1427 (2019). MSC: 03 13 PDF BibTeX XML Cite \textit{D. Geraghty}, Math. Ann. 373, No. 3--4, 1341--1427 (2019; Zbl 07062604) Full Text: DOI
Choiy, Kwangho On multiplicity in restriction of tempered representations of \(p\)-adic groups. (English) Zbl 1446.11096 Math. Z. 291, No. 1-2, 449-471 (2019). MSC: 11F70 22E50 22E35 PDF BibTeX XML Cite \textit{K. Choiy}, Math. Z. 291, No. 1--2, 449--471 (2019; Zbl 1446.11096) Full Text: DOI arXiv
Kim, Wansu On central leaves of Hodge-type Shimura varieties with parahoric level structure. (English) Zbl 1435.14046 Math. Z. 291, No. 1-2, 329-363 (2019). MSC: 14L05 14G35 PDF BibTeX XML Cite \textit{W. Kim}, Math. Z. 291, No. 1--2, 329--363 (2019; Zbl 1435.14046) Full Text: DOI arXiv
Boyer, Pascal Torsion in the cohomology of Kottwitz-Harris-Taylor Shimura varieties. (Sur la torsion dans la cohomologie des variétés de Shimura de Kottwitz-Harris-Taylor.) (French. English summary) Zbl 1443.11080 J. Inst. Math. Jussieu 18, No. 3, 499-517 (2019). MSC: 11F70 11F80 11F85 11G18 20C08 PDF BibTeX XML Cite \textit{P. Boyer}, J. Inst. Math. Jussieu 18, No. 3, 499--517 (2019; Zbl 1443.11080) Full Text: DOI
Miemietz, Vanessa; Stroppel, Catharina Affine quiver Schur algebras and \(p\)-adic \(GL_n\). (English) Zbl 07049382 Sel. Math., New Ser. 25, No. 2, Paper No. 32, 66 p. (2019). MSC: 20C08 33D80 20G43 14M15 22E57 PDF BibTeX XML Cite \textit{V. Miemietz} and \textit{C. Stroppel}, Sel. Math., New Ser. 25, No. 2, Paper No. 32, 66 p. (2019; Zbl 07049382) Full Text: DOI arXiv
Boyer, Pascal Mazur’s principle in higher dimension. (Principe de Mazur en dimension supérieure.) (English. French summary) Zbl 07045721 J. Éc. Polytech., Math. 6, 203-230 (2019). MSC: 11F70 11F80 11F85 11G18 20C08 PDF BibTeX XML Cite \textit{P. Boyer}, J. Éc. Polytech., Math. 6, 203--230 (2019; Zbl 07045721) Full Text: DOI
Chenevier, Gaëtan Subgroups of \(\mathrm{Spin}(7)\) or \(\mathrm{SO}(7)\) with each element conjugate to some element of \(\mathrm{G}_2\) and applications to automorphic forms. (English) Zbl 07045700 Doc. Math. 24, 95-161 (2019). MSC: 20G41 22C05 20G15 11F80 11R39 PDF BibTeX XML Cite \textit{G. Chenevier}, Doc. Math. 24, 95--161 (2019; Zbl 07045700) Full Text: DOI
Sasaki, Shu Integral models of Hilbert modular varieties in the ramified case, deformations of modular Galois representations, and weight one forms. (English) Zbl 1443.11113 Invent. Math. 215, No. 1, 171-264 (2019). Reviewer: Matteo Longo (Padova) MSC: 11G18 11F80 11F33 11F41 14G22 14G35 PDF BibTeX XML Cite \textit{S. Sasaki}, Invent. Math. 215, No. 1, 171--264 (2019; Zbl 1443.11113) Full Text: DOI
Boxer, George; Calegari, Frank; Emerton, Matthew; Levin, Brandon; Madapusi Pera, Keerthi; Patrikis, Stefan Compatible systems of Galois representations associated to the exceptional group \(E_6\). (English) Zbl 07013705 Forum Math. Sigma 7, Paper No. e4, 29 p. (2019). MSC: 11F70 11F80 20G41 PDF BibTeX XML Cite \textit{G. Boxer} et al., Forum Math. Sigma 7, Paper No. e4, 29 p. (2019; Zbl 07013705) Full Text: DOI arXiv
Shen, Xu On the cohomology of some simple Shimura varieties with bad reduction. (English) Zbl 06993645 J. Inst. Math. Jussieu 18, No. 1, 1-24 (2019). MSC: 11G18 14G35 14F30 PDF BibTeX XML Cite \textit{X. Shen}, J. Inst. Math. Jussieu 18, No. 1, 1--24 (2019; Zbl 06993645) Full Text: DOI
Lan, Kai-Wen; Stroh, Benoît Nearby cycles of automorphic étale sheaves. II. (English) Zbl 1441.11163 Cogdell, James W. (ed.) et al., Cohomology of arithmetic groups. On the occasion of Joachim Schwermer’s 66th birthday, Bonn, Germany, June 2016. Cham: Springer. Springer Proc. Math. Stat. 245, 83-106 (2018). MSC: 11G18 11G15 11F75 PDF BibTeX XML Cite \textit{K.-W. Lan} and \textit{B. Stroh}, Springer Proc. Math. Stat. 245, 83--106 (2018; Zbl 1441.11163) Full Text: DOI
Blondel, Corinne; Henniart, Guy; Stevens, Shaun Jordan blocks of cuspidal representations of symplectic groups. (English) Zbl 1447.22001 Algebra Number Theory 12, No. 10, 2327-2386 (2018). Reviewer: Min Ho Lee (Cedar Falls) MSC: 22E50 11F70 PDF BibTeX XML Cite \textit{C. Blondel} et al., Algebra Number Theory 12, No. 10, 2327--2386 (2018; Zbl 1447.22001) Full Text: DOI
Gan, Wee; Ichino, Atsushi The Shimura-Qaldspurger correspondence for \(\mathrm{Mp}_{2n}\). (English) Zbl 06976276 Ann. Math. (2) 188, No. 3, 965-1016 (2018). MSC: 11F70 22E55 PDF BibTeX XML Cite \textit{W. Gan} and \textit{A. Ichino}, Ann. Math. (2) 188, No. 3, 965--1016 (2018; Zbl 06976276) Full Text: DOI
Scholze, Peter On the \(p\)-adic cohomology of the Lubin-Tate tower. (English. French summary) Zbl 1419.14031 Ann. Sci. Éc. Norm. Supér. (4) 51, No. 4, 811-863 (2018). Reviewer: Judith Ludwig (Heidelberg) MSC: 14G22 11S37 11F80 11F85 PDF BibTeX XML Cite \textit{P. Scholze}, Ann. Sci. Éc. Norm. Supér. (4) 51, No. 4, 811--863 (2018; Zbl 1419.14031) Full Text: Link arXiv
Shen, Xu On the \(\ell\)-adic cohomology of some \(p\)-adically uniformized Shimura varieties. (English) Zbl 06963844 J. Inst. Math. Jussieu 17, No. 5, 1197-1226 (2018). Reviewer: Lei Yang (Beijing) MSC: 11G18 14G35 PDF BibTeX XML Cite \textit{X. Shen}, J. Inst. Math. Jussieu 17, No. 5, 1197--1226 (2018; Zbl 06963844) Full Text: DOI
Gaisin, Ildar; Rodrigues Jacinto, Joaquín Arithmetic families of \((\varphi,\Gamma)\)-modules and locally analytic representations of \(\mathrm{GL}_2(\mathbb Q_p)\). (English) Zbl 1440.11217 Doc. Math. 23, 1313-1404 (2018). MSC: 11S37 11S25 20G05 22E50 PDF BibTeX XML Cite \textit{I. Gaisin} and \textit{J. Rodrigues Jacinto}, Doc. Math. 23, 1313--1404 (2018; Zbl 1440.11217) Full Text: DOI arXiv
Latham, Peter On the unicity of types in special linear groups. (English) Zbl 1410.22009 Manuscr. Math. 157, No. 3-4, 445-465 (2018). Reviewer: Min Ho Lee (Cedar Falls) MSC: 22E50 PDF BibTeX XML Cite \textit{P. Latham}, Manuscr. Math. 157, No. 3--4, 445--465 (2018; Zbl 1410.22009) Full Text: DOI arXiv
Lanard, Thomas On level zero \(\ell\)-blocks of \(p\)-adic groups. (Sur les \(\ell\)-blocs de niveau zéro des groupes \(p\)-adiques.) (French. English summary) Zbl 1403.22018 Compos. Math. 154, No. 7, 1473-1507 (2018). Reviewer: J. G. M. Mars (Utrecht) MSC: 22E50 11S37 PDF BibTeX XML Cite \textit{T. Lanard}, Compos. Math. 154, No. 7, 1473--1507 (2018; Zbl 1403.22018) Full Text: DOI arXiv
Shotton, Jack The Breuil-Mézard conjecture when \(l\neq p\). (English) Zbl 1417.11154 Duke Math. J. 167, No. 4, 603-678 (2018). Reviewer: Laurent Berger (Lyon) MSC: 11S37 11S20 PDF BibTeX XML Cite \textit{J. Shotton}, Duke Math. J. 167, No. 4, 603--678 (2018; Zbl 1417.11154) Full Text: DOI
Parzanchevski, Ori; Sarnak, Peter Super-Golden-Gates for \(PU(2)\). (English) Zbl 1383.81059 Adv. Math. 327, 869-901 (2018). MSC: 81P68 11R52 20G20 11E04 PDF BibTeX XML Cite \textit{O. Parzanchevski} and \textit{P. Sarnak}, Adv. Math. 327, 869--901 (2018; Zbl 1383.81059) Full Text: DOI
Xu, Bin L-packets of quasisplit \(GSp(2n)\) and \(GO(2n)\). (English) Zbl 1384.22008 Math. Ann. 370, No. 1-2, 71-189 (2018). Reviewer: Ivan Matić (Osijek) MSC: 22E50 11F70 PDF BibTeX XML Cite \textit{B. Xu}, Math. Ann. 370, No. 1--2, 71--189 (2018; Zbl 1384.22008) Full Text: DOI
Barnet-Lamb, Thomas; Gee, Toby; Geraghty, David Serre weights for \(\mathrm{U}(n)\). (English) Zbl 06836107 J. Reine Angew. Math. 735, 199-224 (2018). Reviewer: Piotr Krasoń (Szczecin) MSC: 11F80 11F72 PDF BibTeX XML Cite \textit{T. Barnet-Lamb} et al., J. Reine Angew. Math. 735, 199--224 (2018; Zbl 06836107) Full Text: DOI arXiv
Aubert, Anne-Marie Around the Langlands program. (English) Zbl 1400.11100 Jahresber. Dtsch. Math.-Ver. 120, No. 1, 3-40 (2018). Reviewer: Solomon Friedberg (Chestnut Hill) MSC: 11F70 11F66 22E50 22E55 PDF BibTeX XML Cite \textit{A.-M. Aubert}, Jahresber. Dtsch. Math.-Ver. 120, No. 1, 3--40 (2018; Zbl 1400.11100) Full Text: DOI
Gurevich, Maxim; Ma, Jia-Jun; Mitra, Arnab On two questions concerning representations distinguished by the Galois involution. (English) Zbl 1395.22007 Forum Math. 30, No. 1, 141-157 (2018). Reviewer: Yuval Z. Flicker (Ariel) MSC: 22E50 11F70 PDF BibTeX XML Cite \textit{M. Gurevich} et al., Forum Math. 30, No. 1, 141--157 (2018; Zbl 1395.22007) Full Text: DOI arXiv
Lan, Kai-Wen; Stroh, Benoît Nearby cycles of automorphic étale sheaves. (English) Zbl 1432.11062 Compos. Math. 154, No. 1, 80-119 (2018). Reviewer: Shinan Liu (München) MSC: 11G18 11G15 11F75 PDF BibTeX XML Cite \textit{K.-W. Lan} and \textit{B. Stroh}, Compos. Math. 154, No. 1, 80--119 (2018; Zbl 1432.11062) Full Text: DOI
Lin, Jie An automorphic variant of a conjecture of Deligne. (English) Zbl 1434.11108 Brumley, Farrell (ed.) et al., Around Langlands correspondences. International conference, Université Paris Sud, Orsay, France, June 17–20, 2015. Proceedings. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 691, 181-201 (2017). MSC: 11F67 11F70 14A20 PDF BibTeX XML Cite \textit{J. Lin}, Contemp. Math. 691, 181--201 (2017; Zbl 1434.11108) Full Text: DOI
Dat, Jean-François A functoriality principle for blocks of \(p\)-adic linear groups. (English) Zbl 1388.22013 Brumley, Farrell (ed.) et al., Around Langlands correspondences. International conference, Université Paris Sud, Orsay, France, June 17–20, 2015. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-3573-8/pbk; 978-1-4704-4117-3/ebook). Contemporary Mathematics 691, 103-131 (2017). Reviewer: L. N. Vaserstein (University Park) MSC: 22E50 PDF BibTeX XML Cite \textit{J.-F. Dat}, Contemp. Math. 691, 103--131 (2017; Zbl 1388.22013) Full Text: DOI
Aubert, Anne-Marie; Baum, Paul; Plymen, Roger; Solleveld, Maarten Conjectures about \(p\)-adic groups and their noncommutative geometry. (English) Zbl 06859873 Brumley, Farrell (ed.) et al., Around Langlands correspondences. International conference, Université Paris Sud, Orsay, France, June 17–20, 2015. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-3573-8/pbk; 978-1-4704-4117-3/ebook). Contemporary Mathematics 691, 15-51 (2017). MSC: 20G25 22E50 11S37 19L47 PDF BibTeX XML Cite \textit{A.-M. Aubert} et al., Contemp. Math. 691, 15--51 (2017; Zbl 06859873) Full Text: DOI arXiv
Caraiani, Ana; Emerton, Matthew; Gee, Toby; Geraghty, David; Paškūnas, Vytautas; Shin, Sug Woo Patching and the \(p\)-adic Langlands program for \(\mathrm{GL}_{2}(\mathbb{Q}_{p})\). (English) Zbl 06823118 Compos. Math. 154, No. 3, 503-548 (2018). Reviewer: Yuval Z. Flicker (Ariel) MSC: 11S37 11F70 22E50 PDF BibTeX XML Cite \textit{A. Caraiani} et al., Compos. Math. 154, No. 3, 503--548 (2017; Zbl 06823118) Full Text: DOI arXiv
Saha, Jyoti Prakash Purity for families of Galois representations. (Pureté pour les familles de représentations galoisiennes.) (English. French summary) Zbl 1441.11134 Ann. Inst. Fourier 67, No. 2, 879-910 (2017). MSC: 11F80 11F55 11F41 PDF BibTeX XML Cite \textit{J. P. Saha}, Ann. Inst. Fourier 67, No. 2, 879--910 (2017; Zbl 1441.11134) Full Text: DOI arXiv
Kret, Arno Equidistribution in supersingular Hecke orbits. (English) Zbl 1433.11078 J. Reine Angew. Math. 733, 25-54 (2017). Reviewer: Netan Dogra (London) MSC: 11G18 14G35 PDF BibTeX XML Cite \textit{A. Kret}, J. Reine Angew. Math. 733, 25--54 (2017; Zbl 1433.11078) Full Text: DOI arXiv
Zhang, Qing A local converse theorem for \(\mathrm{U}(2,2)\). (English) Zbl 1414.11065 Forum Math. 29, No. 6, 1471-1497 (2017). MSC: 11F70 22E50 PDF BibTeX XML Cite \textit{Q. Zhang}, Forum Math. 29, No. 6, 1471--1497 (2017; Zbl 1414.11065) Full Text: DOI
Asgari, Mahdi; Choiy, Kwangho The local Langlands conjecture for \(p\)-adic \(\mathrm{GSpin}_{4}\), \(\mathrm{GSpin}_{6}\), and their inner forms. (English) Zbl 1384.22007 Forum Math. 29, No. 6, 1261-1290 (2017). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 22E50 11S37 20G25 22E35 PDF BibTeX XML Cite \textit{M. Asgari} and \textit{K. Choiy}, Forum Math. 29, No. 6, 1261--1290 (2017; Zbl 1384.22007) Full Text: DOI
Herzig, Florian; Le, Daniel; Morra, Stefano On mod \(p\) local-global compatibility for \(\mathrm{GL}_3\) in the ordinary case. (English) Zbl 1420.11089 Compos. Math. 153, No. 11, 2215-2286 (2017). MSC: 11F80 11S37 22E50 PDF BibTeX XML Cite \textit{F. Herzig} et al., Compos. Math. 153, No. 11, 2215--2286 (2017; Zbl 1420.11089) Full Text: DOI arXiv
Clozel, Laurent On the automorphic induction for radical \(p\)-extensions and some other functorial operations \(\pmod p\). (Sur l’induction automorphe pour des \(p\)-extensions radicielles et quelques autres opérations fonctorielles \(\pmod p\).) (French) Zbl 1441.11126 Doc. Math. 22, 1149-1180 (2017). Reviewer: Yuval Z. Flicker (Ariel) MSC: 11F70 11F75 11R39 PDF BibTeX XML Cite \textit{L. Clozel}, Doc. Math. 22, 1149--1180 (2017; Zbl 1441.11126) Full Text: DOI
Atobe, Hiraku; Gan, Wee Teck Local theta correspondence of tempered representations and Langlands parameters. (English) Zbl 1394.11044 Invent. Math. 210, No. 2, 341-415 (2017). Reviewer: Jeffrey Adler (Washington) MSC: 11F70 22E50 PDF BibTeX XML Cite \textit{H. Atobe} and \textit{W. T. Gan}, Invent. Math. 210, No. 2, 341--415 (2017; Zbl 1394.11044) Full Text: DOI
Xu, Bin On the cuspidal support of discrete series for \(p\)-adic quasisplit \(\mathrm{Sp}(N)\) and \(\mathrm{SO}(N)\). (English) Zbl 1376.22016 Manuscr. Math. 154, No. 3-4, 441-502 (2017). Reviewer: Yuval Z. Flicker (Ariel) MSC: 22E50 11F70 PDF BibTeX XML Cite \textit{B. Xu}, Manuscr. Math. 154, No. 3--4, 441--502 (2017; Zbl 1376.22016) Full Text: DOI
Caraiani, Ana; Scholze, Peter On the generic part of the cohomology of compact unitary Shimura varieties. (English) Zbl 1401.11108 Ann. Math. (2) 186, No. 3, 649-766 (2017). Reviewer: Fangzhou Jin (Essen) MSC: 11G18 14F30 11F75 PDF BibTeX XML Cite \textit{A. Caraiani} and \textit{P. Scholze}, Ann. Math. (2) 186, No. 3, 649--766 (2017; Zbl 1401.11108) Full Text: DOI arXiv
Xue, Hang Refined global Gan-Gross-Prasad conjecture for Fourier-Jacobi periods on symplectic groups. (English) Zbl 1436.11055 Compos. Math. 153, No. 1, 68-131 (2017). Reviewer: Bin Xu (Chengdu) MSC: 11F67 11F70 PDF BibTeX XML Cite \textit{H. Xue}, Compos. Math. 153, No. 1, 68--131 (2017; Zbl 1436.11055) Full Text: DOI
Fouquet, Olivier \(p\)-adic properties of motivic fundamental lines. (English. French summary) Zbl 1429.11116 J. Éc. Polytech., Math. 4, 37-86 (2017). MSC: 11G40 11F67 11F70 11R23 11F33 PDF BibTeX XML Cite \textit{O. Fouquet}, J. Éc. Polytech., Math. 4, 37--86 (2017; Zbl 1429.11116) Full Text: DOI
Goldring, Wushi; Nicole, Marc-Hubert The \(\mu\)-ordinary Hasse invariant of unitary Shimura varieties. (English) Zbl 1391.14045 J. Reine Angew. Math. 728, 137-151 (2017). Reviewer: Brian Smithling (Baltimore) MSC: 14G35 11G18 PDF BibTeX XML Cite \textit{W. Goldring} and \textit{M.-H. Nicole}, J. Reine Angew. Math. 728, 137--151 (2017; Zbl 1391.14045) Full Text: DOI arXiv
Khare, Chandrashekhar B.; Thorne, Jack A. Automorphy of some residually \(S_5\) Galois representations. (English) Zbl 1420.11081 Math. Z. 286, No. 1-2, 399-429 (2017). MSC: 11F41 11F80 PDF BibTeX XML Cite \textit{C. B. Khare} and \textit{J. A. Thorne}, Math. Z. 286, No. 1--2, 399--429 (2017; Zbl 1420.11081) Full Text: DOI arXiv
Heiermann, Volker; Kim, Yeansu On the generic local Langlands correspondence for \(\mathrm{GSpin}\) groups. (English) Zbl 1416.11162 Trans. Am. Math. Soc. 369, No. 6, 4275-4291 (2017). MSC: 11S37 11F70 22E50 PDF BibTeX XML Cite \textit{V. Heiermann} and \textit{Y. Kim}, Trans. Am. Math. Soc. 369, No. 6, 4275--4291 (2017; Zbl 1416.11162) Full Text: DOI
Gee, Toby; Herzig, Florian; Liu, Tong; Savitt, David Potentially crystalline lifts of certain prescribed types. (English) Zbl 1401.14110 Doc. Math. 22, 397-422 (2017). MSC: 14F30 11F80 PDF BibTeX XML Cite \textit{T. Gee} et al., Doc. Math. 22, 397--422 (2017; Zbl 1401.14110) Full Text: EMIS arXiv
Matringe, Nadir On the local Bump-Friedberg \(L\)-function. II. (English) Zbl 1431.11066 Manuscr. Math. 152, No. 1-2, 223-240 (2017). MSC: 11F66 11F70 22E50 PDF BibTeX XML Cite \textit{N. Matringe}, Manuscr. Math. 152, No. 1--2, 223--240 (2017; Zbl 1431.11066) Full Text: DOI arXiv
Hundley, Joseph; Sayag, Eitan Descent construction for GSpin groups. (English) Zbl 1407.11068 Memoirs of the American Mathematical Society 1148. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-1667-6/print; 978-1-4704-3444-1/ebook). vi, 130 p. (2016). MSC: 11F70 11F55 PDF BibTeX XML Cite \textit{J. Hundley} and \textit{E. Sayag}, Descent construction for GSpin groups. Providence, RI: American Mathematical Society (AMS) (2016; Zbl 1407.11068) Full Text: DOI arXiv
Xu, Bin On a lifting problem of \(L\)-packets. (English) Zbl 1375.22011 Compos. Math. 152, No. 9, 1800-1850 (2016). Reviewer: Hang Xue (Tucson) MSC: 22E50 11F70 PDF BibTeX XML Cite \textit{B. Xu}, Compos. Math. 152, No. 9, 1800--1850 (2016; Zbl 1375.22011) Full Text: DOI arXiv