Imai, Naoki Local Langlands correspondences in \(\ell \)-adic coefficients. (English) Zbl 07901749 Manuscr. Math. 175, No. 1-2, 345-364 (2024). Reviewer: Shiv Prakash Patel (New Delhi) MSC: 11F70 11F80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chiloyan, Garen Curious subgroups of \(\mathrm{GL}(2,\mathbb{Z}/N\mathbb{Z})\) as direct products of groups of distinct prime-power level. (English) Zbl 07899205 Res. Number Theory 10, No. 3, Paper No. 66, 34 p. (2024). MSC: 11F80 11G05 11G15 14H52 × Cite Format Result Cite Review PDF Full Text: DOI
Fintzen, Jessica Supercuspidal representations in non-defining characteristics. (English) Zbl 1543.22016 J. Algebra 656, 196-205 (2024). Reviewer: Jeffrey Adler (Washington) MSC: 22E50 20C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mayle, Jacob; Rakvi Serre curves relative to obstructions modulo 2. (English) Zbl 07840410 Cremona, John (ed.) et al., LuCaNT: LMFDB, computation, and number theory. Conference, Institute for Computational and Experimental Research in Mathematics (ICERM), Providence, Rhode Island, USA, July 10–14, 2023. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 796, 103-128 (2024). MSC: 11G05 11F80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rakvi A classification of genus 0 modular curves with rational points. (English) Zbl 07833097 Math. Comput. 93, No. 348, 1859-1902 (2024). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11F80 11G05 11G18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Frengley, Sam On 12-congruences of elliptic curves. (English) Zbl 07819768 Int. J. Number Theory 20, No. 2, 565-601 (2024). Reviewer: Noburo Ishii (Kyōto) MSC: 11G05 11F80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shiraishi, Densuke Duality-reflection formulas of multiple polylogarithms and their \(\ell\)-adic Galois analogues. (English) Zbl 1536.11104 Math. J. Okayama Univ. 66, 159-169 (2024). MSC: 11G55 11F80 14H30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Flicker, Yuval Z.; Özkan, Engin Local systems with tame, and a unipotent, local monodromy. (English) Zbl 1539.11148 São Paulo J. Math. Sci. 17, No. 2, 465-482 (2023). Reviewer: Ivan Matić (Osijek) MSC: 11S37 11R39 11F70 11F72 22E35 22E55 11G20 14H30 × Cite Format Result Cite Review PDF Full Text: DOI
Lanard, Thomas Unipotent \(\ell\)-blocks for simply connected \(p\)-adic groups. (English) Zbl 1542.22026 Algebra Number Theory 17, No. 9, 1533-1572 (2023). Reviewer: Wen-Wei Li (Beijing) MSC: 22E50 20C20 20C33 20G05 20G25 20G40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chiloyan, Garen 2-adic Galois images of isogeny-torsion graphs over \(\mathbb{Q}\) with CM. (English) Zbl 07774974 Int. J. Number Theory 19, No. 10, 2483-2512 (2023). MSC: 11F80 11G05 11G15 14H52 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Galateau, Aurélien; Martínez, César Explicit homotheties of \(\ell\)-adic representations. (Homothéties explicites des représentations \(\ell\)-adiques.) (French. English summary) Zbl 1548.11098 J. Théor. Nombres Bordx. 35, No. 2, 567-590 (2023). MSC: 11G10 11F80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Daniels, Harris B.; Lozano-Robledo, Álvaro; Morrow, Jackson S. Towards a classification of entanglements of Galois representations attached to elliptic curves. (English) Zbl 1535.11081 Rev. Mat. Iberoam. 39, No. 3, 803-844 (2023). Reviewer: Riccardo Pengo (Hannover) MSC: 11F80 14H10 11G05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Daniels, Harris B.; Lozano-Robledo, Álvaro Coincidences of division fields. (Coïncidences des corps de division.) (English. French summary) Zbl 1531.11053 Ann. Inst. Fourier 73, No. 1, 163-202 (2023). Reviewer: Noburo Ishii (Kyōto) MSC: 11G05 14H52 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kessar, Radha; Malle, Gunter; Semeraro, Jason The principal block of a \(\mathbb{Z}_{\ell}\)-spets and Yokonuma type algebras. (English) Zbl 1511.20140 Algebra Number Theory 17, No. 2, 397-433 (2023). Reviewer: Baoyu Zhang (Birmingham) MSC: 20F55 20C20 16G30 20C08 20G40 20D20 55R35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chiloyan, Garen Infinite families of isogeny-torsion graphs. (English) Zbl 1525.11061 J. Number Theory 244, 369-417 (2023). MSC: 11G05 14H52 14G05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Frengley, Sam Congruences of elliptic curves arising from nonsurjective \(\operatorname{mod} N\) Galois representations. (English) Zbl 1521.11037 Math. Comput. 92, No. 339, 409-450 (2023). Reviewer: Subham Sarkar (Bhubaneswar) MSC: 11G05 11F80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Campagna, Francesco; Pengo, Riccardo How big is the image of the Galois representations attached to CM elliptic curves? (English) Zbl 1525.11060 Anni, Samuele (ed.) et al., Arithmetic, geometry, cryptography, and coding theory, AGC2T. 18th international conference, Centre International de Rencontres Mathématiques, Marseille, France, May 31 – June 4, 2021. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 779, 41-56 (2022). Reviewer: G. K. Sankaran (Bath) MSC: 11G05 11F80 11G15 11Y40 14K22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Daniels, Harris B.; Morrow, Jackson S. A group theoretic perspective on entanglements of division fields. (English) Zbl 1517.11059 Trans. Am. Math. Soc., Ser. B 9, 827-858 (2022). Reviewer: Riccardo Pengo (Bonn) MSC: 11G05 11F80 14H10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lombardo, Davide; Tronto, Sebastiano Some uniform bounds for elliptic curves over \(\mathbb{Q} \). (English) Zbl 1526.11026 Pac. J. Math. 320, No. 1, 133-175 (2022). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11F80 11G05 14K15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rouse, Jeremy; Sutherland, Andrew V.; Zureick-Brown, David [Voight, John] \(\ell\)-adic images of Galois for elliptic curves over \(\mathbb{Q}\)(and an appendix with John Voight). (English) Zbl 1499.14057 Forum Math. Sigma 10, Paper No. e62, 63 p. (2022). Reviewer: Riccardo Pengo (Bonn) MSC: 14H52 11G05 14G35 11F80 11G18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Daniels, Harris B.; González-Jiménez, Enrique Serre’s constant of elliptic curves over the rationals. (English) Zbl 1523.11098 Exp. Math. 31, No. 2, 518-536 (2022). Reviewer: Lorenzo Furio (Pisa) MSC: 11G05 11F80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Matringe, Nadir; Moss, Gilbert The Kirillov model in families. (English) Zbl 1497.11131 Monatsh. Math. 198, No. 2, 393-410 (2022). Reviewer: Laure Blasco (Paris) MSC: 11F70 22E50 11F85 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cui, Peiyi Category decomposition of \(\operatorname{Rep}_k( \mathrm{SL}_n(F))\). (English) Zbl 1506.22013 J. Algebra 602, 130-153 (2022). MSC: 22E50 20C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Barbulescu, Razvan; Shinde, Sudarshan A classification of ECM-friendly families of elliptic curves using modular curves. (English) Zbl 1512.11097 Math. Comput. 91, No. 335, 1405-1436 (2022). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11Y05 11G05 11F80 14G35 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Illusie, Luc Generic constructibility and uniformity in \(\ell\). (Constructibilité générique et uniformité en \(\ell\).) (French. English summary) Zbl 1506.11083 Tunis. J. Math. 4, No. 1, 159-181 (2022). Reviewer: Cenap Özel (Jeddah) MSC: 11F80 14F08 14F20 14F30 × Cite Format Result Cite Review PDF Full Text: DOI
Yelton, Jeffrey Boundedness results for 2-adic Galois images associated to hyperelliptic Jacobians. (English) Zbl 1521.14058 Math. Nachr. 294, No. 8, 1629-1643 (2021). MSC: 14H40 11F80 11G30 14H30 20G25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Angelakis, Athanasios; Stevenhagen, Peter Adelic point groups of elliptic curves. (English) Zbl 1472.11172 Acta Arith. 199, No. 3, 221-236 (2021). MSC: 11G05 11G07 11F80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lombardo, Davide; Perucca, Antonella Reductions of points on algebraic groups. (English) Zbl 1475.11122 J. Inst. Math. Jussieu 20, No. 5, 1637-1669 (2021). MSC: 11G10 11F80 14L10 11G05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Illusie, Luc Grothendieck and vanishing cycles. (English. French summary) Zbl 1473.14001 Ann. Fac. Sci. Toulouse, Math. (6) 30, No. 1, 83-115 (2021). Reviewer: Vladimir P. Kostov (Nice) MSC: 14-02 14-03 01A65 11F80 11G10 13D09 14D05 14F20 14G20 14K30 14H25 14L05 14L15 × Cite Format Result Cite Review PDF Full Text: DOI
Moss, Gilbert The universal unramified module for \(\mathrm{GL}(n)\) and the Ihara conjecture. (English) Zbl 1486.11062 Algebra Number Theory 15, No. 5, 1181-1212 (2021). Reviewer: Zhixiang Wu (Paris) MSC: 11F33 22E50 22E55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bruin, Peter; Perucca, Antonella Reductions of points on algebraic groups. II. (English) Zbl 1475.11119 Glasg. Math. J. 63, No. 2, 484-502 (2021). MSC: 11G10 11F80 14L10 11G05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cerchia, Michael; Rouse, Jeremy Uniform bounds on the image of the arboreal Galois representations attached to non-CM elliptic curves. (English) Zbl 1464.11055 Proc. Am. Math. Soc. 149, No. 2, 583-589 (2021). MSC: 11F80 11G05 12G05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gužvić, Tomislav Torsion growth of rational elliptic curves in sextic number fields. (English) Zbl 1469.14071 J. Number Theory 220, 330-345 (2021). Reviewer: José María Tornero (Sevilla) MSC: 14H52 11G05 11F80 11R21 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fried, Michael D. Moduli relations between \(\ell\)-adic representations and the regular inverse Galois problem. (English) Zbl 1497.11114 Grad. J. Math. 5, No. 1, 38-75 (2020). MSC: 11F32 11G18 11R58 14H30 20B05 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Cadoret, Anna The companions conjecture [after Deligne, Drinfeld, L. Lafforgue, T. Abe, …]. (La conjecture des compagnons [d’aprés Deligne, Drinfeld, L. Lafforgue, T. Abe, …].) (French) Zbl 1466.14023 Séminaire Bourbaki. Volume 2018/2019, Exposés 1151–1165. Avec table par noms d’auteurs de 1948 à 2018/19. Paris: Société Mathématique de France (SMF). Astérisque 422, 173-223, Exp. No. 1155 (2020). MSC: 14F20 14F30 × Cite Format Result Cite Review PDF Full Text: DOI
Fakhruddin, Najmuddin; Khare, Chandrashekhar; Patrikis, Stefan Lifting \(G\)-irreducible but \(\mathrm{GL}_n\)-reducible Galois representations. (English) Zbl 1466.11028 Math. Res. Lett. 27, No. 6, 1669-1696 (2020). Reviewer: Lei Yang (Beijing) MSC: 11F80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xue, Cong Finiteness of cohomology groups of stacks of shtukas as modules over Hecke algebras, and applications. (English) Zbl 1455.14054 Épijournal de Géom. Algébr., EPIGA 4, Paper No. 6, 42 p. (2020). MSC: 14G35 11F70 × Cite Format Result Cite Review PDF Full Text: arXiv
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 1469.11144 C. R., Math., Acad. Sci. Paris 358, No. 2, 201-209 (2020). MSC: 11F70 11F85 22E50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xue, Cong Cuspidal cohomology of stacks of shtukas. (English) Zbl 1468.14053 Compos. Math. 156, No. 6, 1079-1151 (2020). MSC: 14G35 14H60 11F70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ivanov, Alexander B. Ordinary \(\mathrm{GL}_2 (F)\)-representations in characteristic two via affine Deligne-Lusztig constructions. (English) Zbl 1480.11152 Math. Res. Lett. 27, No. 1, 141-187 (2020). MSC: 11S37 11F70 14G35 × Cite Format Result Cite Review PDF Full Text: arXiv
Liu, Baiying; Moss, Gilbert On the local converse theorem and the descent theorem in families. (English) Zbl 1465.11139 Math. Z. 295, No. 1-2, 463-483 (2020). Reviewer: Spencer Leslie (Durham) MSC: 11F70 22E50 11F85 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gun, Sanoli; Murty, V. Kumar Lifting of elliptic curves. (English) Zbl 1472.11180 Pac. J. Math. 301, No. 1, 101-106 (2019). MSC: 11G05 11F11 × Cite Format Result Cite Review PDF Full Text: DOI
Bisatt, Matthew Explicit root numbers of abelian varieties. (English) Zbl 1455.11086 Trans. Am. Math. Soc. 372, No. 11, 7889-7920 (2019). Reviewer: Elisa Lorenzo García (Rennes) MSC: 11G10 11G40 11F80 11S40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Böckle, Gebhard; Harris, Michael; Khare, Chandrashekhar; Thorne, Jack A. \(\hat{G}\)-local systems on smooth projective curves are potentially automorphic. (English) Zbl 1437.11078 Acta Math. 223, No. 1, 1-111 (2019). Reviewer: Yuval Z. Flicker (Ariel) MSC: 11F70 22E55 11F80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Commelin, Johan M. On compatibility of the \(\ell\)-adic realisations of an abelian motive. (Sur la compatibilité des réalisations \(\ell\)-adiques d’un motif abélien.) (English. French summary) Zbl 1442.14070 Ann. Inst. Fourier 69, No. 5, 2089-2120 (2019). MSC: 14F20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liang, Ke; Rouse, Jeremy Density of odd order reductions for elliptic curves with a rational point of order 2. (English) Zbl 1462.11051 Int. J. Number Theory 15, No. 8, 1547-1563 (2019). MSC: 11G05 11F80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Klevdal, Christian Recognizing Galois representations of K3 surfaces. (English) Zbl 1457.11096 Res. Number Theory 5, No. 1, Paper No. 16, 12 p. (2019). MSC: 11G35 11F80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fu, Lei Deformations and rigidity of \(\ell\)-adic sheaves. (English) Zbl 1504.14017 Adv. Math. 351, 947-966 (2019). MSC: 14D15 14G22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Morrow, Jackson S. Composite images of Galois for elliptic curves over \(\mathbb {Q}\) and entanglement fields. (English) Zbl 1470.11154 Math. Comput. 88, No. 319, 2389-2421 (2019). MSC: 11G05 11D45 11G18 11F80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rojas-León, Antonio Explicit local multiplicative convolution of \(\ell\)-adic sheaves. (English) Zbl 1422.14029 Rev. Mat. Iberoam. 34, No. 3, 1373-1386 (2018). Reviewer: Yigeng Zhao (Hangzhou) MSC: 14F20 11F85 11T23 × Cite Format Result Cite Review PDF 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 20G05 20G25 20G40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Böckle, Gebhard; Gajda, Wojciech; Petersen, Sebastian Independence of \(\ell\)-adic representations of geometric Galois groups. (English) Zbl 1444.11109 J. Reine Angew. Math. 736, 69-93 (2018). MSC: 11F80 14F20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yelton, Jeffrey A note on 8-division fields of elliptic curves. (English) Zbl 1411.11048 Eur. J. Math. 3, No. 3, 603-613 (2017). MSC: 11G05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Haoran Drinfeld symmetric space and local Langlands correspondence. II. (L’espace symétrique de Drinfeld et correspondance de Langlands locale. II.) (French. English summary) Zbl 1430.11064 Math. Ann. 369, No. 3-4, 1081-1130 (2017). MSC: 11F52 11S37 22E50 11F70 11F85 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Lombardo, Davide; Perucca, Antonella The 1-eigenspace for matrices in \(\mathrm{GL}_{2}(\mathbb Z_{\ell})\). (English) Zbl 1369.28012 New York J. Math. 23, 897-925 (2017). MSC: 28C10 16S50 11G05 11F80 × Cite Format Result Cite Review PDF Full Text: arXiv EMIS
Mínguez, Alberto; Sécherre, Vincent Local Jacquet-Langlands corespondence and congruences modulo \(\ell\). (Correspondance de Jacquet-Langlands locale et congruences modulo \(\ell \).) (French. English summary) Zbl 1412.22035 Invent. Math. 208, No. 2, 553-631 (2017). Reviewer: Laure Blasco (Paris) MSC: 22E50 11F70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Moss, Gilbert Interpolating local constants in families. (English) Zbl 1402.11079 Math. Res. Lett. 23, No. 6, 1789-1817 (2016). MSC: 11F70 22E50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Patrikis, Stefan Deformations of Galois representations and exceptional monodromy. (English) Zbl 1358.11064 Invent. Math. 205, No. 2, 269-336 (2016). Reviewer: Nikolaj M. Glazunov (Kyïv) MSC: 11F80 14D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rouse, Jeremy; Zureick-Brown, David Elliptic curves over \(\mathbb {Q}\) and 2-adic images of Galois. (English) Zbl 1397.11095 Res. Number Theory 1, Paper No. 12, 34 p. (2015). Reviewer: Olaf Ninnemann (Uffing am Staffelsee) MSC: 11G05 11F80 11G18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dimabayao, Jerome Tomagan On the cohomological coprimality of Galois representations associated with elliptic curves. (English) Zbl 1385.11036 Proc. Japan Acad., Ser. A 91, No. 10, 141-146 (2015). MSC: 11F80 11G05 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Dudas, Olivier; Malle, Gunter Decomposition matrices for low-rank unitary groups. (English) Zbl 1364.20005 Proc. Lond. Math. Soc. (3) 110, No. 6, 1517-1557 (2015). MSC: 20C20 20C33 20G40 20G10 20G05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ratazzi, Nicolas Isogeny class of abelian varieties faithfully of type \(\mathrm{GS}_p\). (Classe d’isogénie de variétés abéliennes pleinement de type \(\mathrm{GS}_p\).) (French. English summary) Zbl 1394.11051 J. Number Theory 147, 156-171 (2015). MSC: 11G10 11G40 14K02 14K15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Saito, Takeshi Perfectoid spaces and the weight-monodromy conjecture, after Peter Scholze. (English) Zbl 1364.11120 Acta Math. Vietnam. 39, No. 1, 55-68 (2014). MSC: 11G25 14G20 14G22 14F30 × Cite Format Result Cite Review PDF Full Text: DOI
Cadoret, Anna; Tamagawa, Akio Controlling the Galois images in one-dimensional families of \(\ell\)-adic representations. (English) Zbl 1308.14030 J. Algebra 412, 189-206 (2014). Reviewer: Hiroaki Nakamura (Osaka) MSC: 14H30 22E60 22E20 × Cite Format Result Cite Review PDF Full Text: DOI
Ozeki, Yoshiyasu; Taguchi, Yuichiro On congruences of Galois representations of number fields. (English) Zbl 1310.11070 Publ. Res. Inst. Math. Sci. 50, No. 2, 287-306 (2014). Reviewer: Andrew Obus (Charlottesville) MSC: 11G35 11F80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Larson, Eric; Vaintrob, Dmitry Determinants of subquotients of Galois representations associated with abelian varieties. (English) Zbl 1300.11064 J. Inst. Math. Jussieu 13, No. 3, 517-559 (2014). Reviewer: Fumio Hazama (Hatoyama) MSC: 11G05 14K02 11G15 14K15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guiraud, David-Alexandre On semisimple \(\ell\)-modular Bernstein-blocks of a \(p\)-adic general linear group. (English) Zbl 1295.22021 J. Number Theory 133, No. 10, 3524-3548 (2013). MSC: 22E50 20G05 20G25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hui, Chun Yin Monodromy of Galois representations and equal-rank subalgebra equivalence. (English) Zbl 1287.11074 Math. Res. Lett. 20, No. 4, 705-725 (2013). MSC: 11F80 11F85 11G10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Deligne, Pierre; Flicker, Yuval Z. Counting local systems with principal unipotent local monodromy. (English) Zbl 1284.14026 Ann. Math. (2) 178, No. 3, 921-982 (2013). Reviewer: Lei Zhang (Berlin) MSC: 14F20 11F75 14G15 14G35 14D05 × Cite Format Result Cite Review PDF Full Text: DOI
Serre, Jean-Pierre A criterion for independence of a family of \(\ell\)-adic representations. (Un critère d’indépendance pour une famille de représentations \(\ell\)-adiques.) (French. English summary) Zbl 1317.14040 Comment. Math. Helv. 88, No. 3, 541-554 (2013). Reviewer: Christine Noot-Huyghe (Strasbourg) MSC: 14F20 11R32 11S20 20G25 × Cite Format Result Cite Review PDF Full Text: DOI
Wojtkowiak, Zdzisłlaw Periods of mixed Tate motives, examples, \(l\)-adic side. (English) Zbl 1276.11115 Dèbes, Pierre (ed.) et al., Arithmetic and geometry around Galois theory. Based on two summer schools, Istanbul, Turkey, 2008 and 2009. Basel: Birkhäuser (ISBN 978-3-0348-0486-8/hbk; 978-3-0348-0487-5/ebook). Progress in Mathematics 304, 337-369 (2013). Reviewer: Manish Kumar (Bangalore) MSC: 11G55 11G99 14G32 × Cite Format Result Cite Review PDF Full Text: DOI Link
Deninger, Christopher; Wegner, Dimitri Horizontal factorizations of certain Hasse-Weil zeta functions – a remark on a paper of Taniyama. (English) Zbl 1276.11181 Rend. Semin. Mat. Univ. Padova 128, 91-108 (2012). Reviewer: B. Z. Moroz (Bonn) MSC: 11R42 11G10 14G10 11G40 14K15 11G35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Cadoret, Anna; Tamagawa, Akio A uniform open image theorem for \(\ell\)-adic representations. I. (English) Zbl 1305.14016 Duke Math. J. 161, No. 13, 2605-2634 (2012). Reviewer: Lei Zhang (Berlin) MSC: 14H30 11G10 14K15 22E50 14G27 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Kerz, Moritz Deligne’s compatible \(\ell\)-adic representations. (Delignes kompatible \(\ell\)-adische Darstellungen.) (German) Zbl 1254.14020 Mitt. Dtsch. Math.-Ver. 20, No. 1, 25-27 (2012). Reviewer: Martin Epkenhans (Münster) MSC: 14F30 14G15 14H25 14H30 × Cite Format Result Cite Review PDF Full Text: DOI
Greicius, Aaron Elliptic curves with surjective adelic Galois representations. (English) Zbl 1263.11062 Exp. Math. 19, No. 4, 495-507 (2010). MSC: 11G05 11F80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Vignéras, Marie-France Banach \(\ell\)-adic representations of \(p\)-adic groups. (English) Zbl 1232.11062 Berger, Laurent (ed.) et al., Représentations \(p\)-adiques de groupes \(p\)-adiques II: Représentations de \(\text{GL}_2 (\mathbb Q_p)\) et \((\varphi, \gamma)\)-modules. Paris: Société Mathématique de France (ISBN 978-2-85629-281-5/pbk). Astérisque 330, 1-11 (2010). Reviewer: Ivan Matić (Osijek) MSC: 11F70 11F85 11S37 22E50 × Cite Format Result Cite Review PDF Full Text: Link
Virdol, Cristian On \(l\)-adic representations attached to Hilbert and Picard modular surfaces. (English) Zbl 1229.11085 J. Number Theory 130, No. 5, 1197-1211 (2010). Reviewer: Gerald Gotsbacher (Mumbai) MSC: 11F80 11F41 11G18 × Cite Format Result Cite Review PDF Full Text: DOI
Bogomolov, Fedor A.; Zarhin, Yuri G. Ordinary reduction of K3 surfaces. (English) Zbl 1178.14039 Cent. Eur. J. Math. 7, No. 2, 206-213 (2009). Reviewer: Remke Kloosterman (Berlin) MSC: 14J28 14G25 11G35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lyons, Christopher A rank inequality for the Tate conjecture over global function fields. (English) Zbl 1194.11071 Expo. Math. 27, No. 2, 93-108 (2009). Reviewer: Werner Kleinert (Berlin) MSC: 11G40 11G35 14G25 14F30 14C25 11R39 11F70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Lichtenstein, Sam The effective Chebotarev density theorem and modular forms modulo \(\mathfrak m\). (English) Zbl 1247.11069 Proc. Am. Math. Soc. 136, No. 10, 3419-3428 (2008). MSC: 11F33 11F37 11P83 11R45 × Cite Format Result Cite Review PDF Full Text: DOI
Naumann, N. Algebraic independence in the Grothendieck ring of varieties. (English) Zbl 1115.14004 Trans. Am. Math. Soc. 359, No. 4, 1653-1683 (2007). Reviewer: Bernhard Köck (Southampton) MSC: 14C35 14A10 14F42 14G10 11G25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Moon, Hyunsuk; Taguchi, Yuichiro \(\ell\)-adic properties of certain modular forms. (English) Zbl 1160.11022 Proc. Japan Acad., Ser. A 82, No. 7, 83-86 (2006). Reviewer: Stefan Kühnlein (Karlsruhe) MSC: 11F33 11F25 11F80 11S15 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Taylor, Richard Remarks on a conjecture of Fontaine and Mazur. (English) Zbl 1047.11051 J. Inst. Math. Jussieu 1, No. 1, 125-143 (2002). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11F80 11G40 × Cite Format Result Cite Review PDF Full Text: DOI
Zarhin, Yuri G. Very simple 2-adic representations and hyperelliptic Jacobians. (English) Zbl 1082.11039 Mosc. Math. J. 2, No. 2, 403-431 (2002). MSC: 11G10 14K05 11G30 14H40 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Fargues, Laurent An Hochschild-Serre spectral sequence for the Rapoport-Zink uniformization. (Une suite spectrale de Hochschild-Serre pour l’uniformisation de Rapoport-Zink.) (French) Zbl 0996.11037 C. R., Math., Acad. Sci. Paris 334, No. 9, 739-742 (2002). Reviewer: Min Ho Lee (Cedar Falls) MSC: 11F70 11F46 11S37 11G18 × Cite Format Result Cite Review PDF Full Text: DOI Link
Buhler, Joe P. Elliptic curves, modular forms, and applications. (English) Zbl 1013.11022 Conrad, Brian (ed.) et al., Arithmetic algebraic geometry. Expanded lectures delivered at the graduate summer school of the Institute for Advanced Study/Park City Mathematics Institute, Park City, UT, USA, June 20-July 10, 1999. Providence, RI: American Mathematical Society (AMS). IAS/ Park City Math. Ser. 9, 5-81 (2001). Reviewer: Jannis A.Antoniadis (Iraklion) MSC: 11G05 11F11 11-02 11F66 94A60 11G40 11Y11 11Y05 × Cite Format Result Cite Review PDF
Diamond, Fred; Flach, Matthias; Guo, Li The Bloch-Kato conjecture for adjoint motives of modular forms. (English) Zbl 1022.11023 Math. Res. Lett. 8, No. 4, 437-442 (2001). MSC: 11F67 11G40 11F80 19F27 × Cite Format Result Cite Review PDF Full Text: DOI
Böckle, Gebhard On the density of modular points in universal deformation spaces. (English) Zbl 0984.11025 Am. J. Math. 123, No. 5, 985-1007 (2001). Reviewer: Stefan Kühnlein (Karlsruhe) MSC: 11F80 11F33 × Cite Format Result Cite Review PDF Full Text: DOI Link
Katz, Nicholas M. Sato-Tate equidistribution of Kurlberg-Rudnick sums. (English) Zbl 1011.11058 Int. Math. Res. Not. 2001, No. 14, 711-728 (2001). Reviewer: Daniel Bertrand (Paris) MSC: 11L05 × Cite Format Result Cite Review PDF Full Text: DOI
Vignéras, Marie-France Semisimple Langlands correspondence for \(\operatorname {GL}(n,F)\bmod \ell\neq p\). (Correspondance de Langlands semi-simple pour \(\operatorname {GL}(n,F)\) modulo \(\ell\neq p\).) (French) Zbl 1031.11068 Invent. Math. 144, No. 1, 177-223 (2001). Reviewer: Anne Marie Aubert (Paris) MSC: 11S37 22E50 11F70 × Cite Format Result Cite Review PDF Full Text: DOI
Silverberg, A.; Zarhin, Yu. G. Polarizations on abelian varieties and self-dual \(l\)-adic representations of inertia groups. (English) Zbl 1015.14021 Compos. Math. 126, No. 1, 25-45 (2001). MSC: 14K02 20C11 11G10 11S23 20D25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Volkov, Maja \(\ell\)-adic representations associated to elliptic curves on \(\mathbb{Q}_p\). (Les représentations \(\ell\)-adiques associées aux courbes elliptiques sur \(\mathbb{Q}_p\).) (English) Zbl 1024.11038 J. Reine Angew. Math. 535, 65-101 (2001). MSC: 11G07 11G40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hatada, Kazuyuki On classical and \(\ell\)-adic modular forms of levels \(N\ell^m\) and \(N\). (English) Zbl 0977.11020 J. Number Theory 87, No. 1, 1-14 (2001). Reviewer: A.Dabrowski (Szczecin) MSC: 11F33 11F80 × Cite Format Result Cite Review PDF Full Text: DOI
Saito, Takeshi Weight-monodromy conjecture for \(\ell\)-adic representations associated to modular forms: A supplement to the paper: “Modular forms and \(p\)-adic Hodge theory”. (English) Zbl 0990.11035 Gordon, B. Brent (ed.) et al., The arithmetic and geometry of algebraic cycles. Proceedings of the NATO Advanced Study Institute, Banff, Canada, June 7-19, 1998. Vol. 1. Dordrecht: Kluwer Academic Publishers. NATO ASI Ser., Ser. C, Math. Phys. Sci. 548, 427-431 (2000). MSC: 11F80 14G40 14F30 11F85 14G20 × Cite Format Result Cite Review PDF
Harris, Michael Galois properties of cohomological automorphic forms on GL\((n)\). (English) Zbl 1017.11026 J. Math. Kyoto Univ. 39, No. 2, 299-318 (1999). MSC: 11F70 11S37 22E50 × Cite Format Result Cite Review PDF Full Text: DOI
Buzzard, Kevin; Taylor, Richard Companion forms and weight one forms. (English) Zbl 0965.11019 Ann. Math. (2) 149, No. 3, 905-919 (1999). Reviewer: Chandrashekhar B.Khare (Mumbai) MSC: 11F33 11F11 11F80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv EuDML Link
Jarvis, Frazer Level lowering for modular \(\text{mod }\ell\) representations over totally real fields. (English) Zbl 0978.11020 Math. Ann. 313, No. 1, 141-160 (1999). Reviewer: F.Jarvis (Sheffield) MSC: 11F33 11F80 11F41 11G18 × Cite Format Result Cite Review PDF Full Text: DOI
Laumon, Gérard [Waldspurger, Jean-Loup] Cohomology of Drinfeld modular varieties. Part II: Automorphic forms, trace formulas and Langlands correspondence. With an appendix by Jean-Loup Waldspurger. (English) Zbl 0870.14016 Cambridge Studies in Advanced Mathematics. 56. Cambridge: Cambridge University Press. xi, 366 p. (1997). Reviewer: W.W.J.Hulsbergen (Haarlem) MSC: 14G35 11G09 14G25 14-02 11R58 14L05 11-02 × Cite Format Result Cite Review PDF
Harris, Michael \(L\)-functions and periods of polarized regular motives. (English) Zbl 0859.11032 J. Reine Angew. Math. 483, 75-161 (1997). Reviewer: M.Harris (Paris) MSC: 11F67 11G18 11F70 14D07 14G35 × Cite Format Result Cite Review PDF Full Text: DOI Crelle EuDML
Larsen, Michael; Pink, Richard A connectedness criterion for \(\ell\)-adic Galois representations. (English) Zbl 0870.11037 Isr. J. Math. 97, 1-10 (1997). Reviewer: G.Faltings (Bonn) MSC: 11G35 14F20 × Cite Format Result Cite Review PDF Full Text: DOI