Luo, Caihua Holomorphy of normalized intertwining operators for certain induced representations. (English) Zbl 07892685 Math. Ann. 389, No. 4, 4019-4053 (2024). Reviewer: Jingsong Chai (Guangzhou) MSC: 11F66 11F70 22E35 22E50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gan, Wee Teck; Savin, Gordan The local Langlands conjecture for \(G_2\). (English) Zbl 1541.11041 Forum Math. Pi 11, Paper No. e28, 42 p. (2023). Reviewer: Bin Xu (Beijing) MSC: 11F27 11F70 22E50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Shih-Yu Algebraicity of the central critical values of twisted triple product \(L\)-functions. (English. French summary) Zbl 07755378 Ann. Math. Qué. 47, No. 2, 403-442 (2023). Reviewer: Sami Omar (Sukhair) MSC: 11F67 11F66 11F70 11F75 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Thorne, Jack A. Reciprocity and symmetric power functoriality. (English) Zbl 1524.11114 Auroux, Denis (ed.) et al., Current developments in mathematics 2021. Papers based on selected lectures given at the current developments mathematics conference, Harvard University, Cambridge, MA, USA, March 2022. Somerville, MA: International Pres. 95-162 (2023). MSC: 11F70 11F66 × Cite Format Result Cite Review PDF
Nakamura, Kentaro Zeta morphisms for rank two universal deformations. (English) Zbl 1545.11052 Invent. Math. 234, No. 1, 171-290 (2023). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11F80 11F85 11S25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nie, Sian Connected components of affine Deligne-Lusztig varieties for unramified groups. (English) Zbl 1529.20089 Compos. Math. 159, No. 10, 2051-2088 (2023). MSC: 20G25 14G35 11G18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Colmez, Pierre; Dospinescu, Gabriel; Nizioł, Wiesława \(p\)-adic local Langlands correspondence and Kisin rings. (Correspondance de Langlands locale \(p\)-adique et anneaux de Kisin.) (French. English summary) Zbl 1534.11082 Acta Arith. 208, No. 2, 101-126 (2023). Reviewer: Laurent Berger (Lyon) MSC: 11F80 11S37 22E50 11F85 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Le, Daniel; Le Hung, Bao V.; Levin, Brandon; Morra, Stefano Local models for Galois deformation rings and applications. (English) Zbl 1522.11047 Invent. Math. 231, No. 3, 1277-1488 (2023). Reviewer: Manouchehr Misaghian (Prairie View) MSC: 11F80 22E50 11F33 11S37 11G18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Yang, Liyang Arithmetic distribution of tempered components of cuspidal representations of \(\mathrm{GL}(3)\). (English) Zbl 1516.11057 Math. Z. 303, No. 3, Paper No. 66, 19 p. (2023). Reviewer: Ivan Matić (Osijek) MSC: 11F70 11F66 22E55 × Cite Format Result Cite Review PDF Full Text: DOI
Bertoloni Meli, Alexander; Nguyen, Kieu Hieu The Kottwitz conjecture for unitary PEL-type Rapoport-Zink spaces. (English) Zbl 1537.11071 J. Reine Angew. Math. 796, 1-68 (2023). Reviewer: G. K. Sankaran (Bath) MSC: 11F70 11G18 11S37 14G35 20G25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gross, Benedict H. The road to GGP. (English) Zbl 1518.11042 Pure Appl. Math. Q. 18, No. 5, 2131-2157 (2022). Reviewer: Zhengyu Mao (Newark) MSC: 11F70 22E50 11F66 × Cite Format Result Cite Review PDF Full Text: DOI
Chenevier, Gaëtan Statistics for Kneser \(p\)-neighbors. (Statistiques et \(p\)-voisins de Kneser.) (English. French summary) Zbl 1535.11069 Bull. Soc. Math. Fr. 150, No. 3, 473-516 (2022). MSC: 11F46 11F55 11F70 11F72 11F80 11G40 11H06 11R39 11Y55 22C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pan, Lue The Fontaine-Mazur conjecture in the residually reducible case. (English) Zbl 1502.11062 J. Am. Math. Soc. 35, No. 4, 1031-1169 (2022). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11F80 11F33 11R39 22E50 11F11 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shotton, Jack Generic local deformation rings when \(l \neq p\). (English) Zbl 1495.11071 Compos. Math. 158, No. 4, 721-749 (2022). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11F80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fakhruddin, Najmuddin; Khare, Chandrashekhar; Patrikis, Stefan Lifting and automorphy of reducible mod \(p\) Galois representations over global fields. (English) Zbl 1492.11102 Invent. Math. 228, No. 1, 415-492 (2022). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11F80 11F70 11R39 11F33 22E50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ghate, Eknath A zig-zag conjecture and local constancy for Galois representations. (English) Zbl 1499.11211 RIMS Kôkyûroku Bessatsu B86, 249-268 (2021). MSC: 11F80 11S37 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Lomelí, Luis Alberto Langlands program and Ramanujan conjecture: a survey. (English) Zbl 1489.11077 Galaz-García, Fernando (ed.) et al., Mexican mathematicians in the world. Trends and recent contributions. IV meeting. Reunión de matemáticos mexicanos en el mundo, Casa Matemática Oaxaca, Oaxaca, Mexico, June 10–15, 2018. Providence, RI: American Mathematical Society (AMS); México: Sociedad Matemática Mexicana. Contemp. Math. 775, 161-204 (2021). MSC: 11F70 22E50 22E55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hansen, David Moduli of local shtukas and Harris’s conjecture. (English) Zbl 1491.11108 Tunis. J. Math. 3, No. 4, 749-799 (2021). Reviewer: Taiwang Deng (Bonn) MSC: 11S37 14G22 14G45 × Cite Format Result Cite Review PDF Full Text: DOI
Sawin, Will; Templier, Nicolas On the Ramanujan conjecture for automorphic forms over function fields. I: Geometry. (English) Zbl 1504.22021 J. Am. Math. Soc. 34, No. 3, 653-746 (2021). Reviewer: Hongjie Yu (Rehovot ) MSC: 22E57 11F70 14D24 14F20 20G30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yang, Liyang Average of Dirichlet coefficients of cuspidal representations related to \(\mathrm{GL}(2)\). (English) Zbl 1482.11075 Ramanujan J. 56, No. 1, 203-234 (2021). Reviewer: Hongjie Yu (Wien) MSC: 11F66 11F70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Harris, Michael Shimura varieties for unitary groups and the doubling method. (English) Zbl 1475.11125 Müller, Werner (ed.) et al., Relative trace formulas. Proceedings of the Simons symposium, Schloss Elmau, Germany, April 22–28, 2018. Cham: Springer. Simons Symp., 217-251 (2021). MSC: 11G18 11F70 22E50 11F66 × Cite Format Result Cite Review PDF Full Text: DOI
Gan, Wee Teck; Wan, Xiaolei Relative character identities and theta correspondence. (English) Zbl 1485.11095 Müller, Werner (ed.) et al., Relative trace formulas. Proceedings of the Simons symposium, Schloss Elmau, Germany, April 22–28, 2018. Cham: Springer. Simons Symp., 101-186 (2021). Reviewer: Nikolaos Diamantis (Nottingham) MSC: 11F72 11F70 22E50 11F66 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lau, Yuk-Kam; Ng, Ming Ho; Wang, Yingnan On the exceptional set of the generalized Ramanujan conjecture for \(\mathrm{GL}(3)\). (English) Zbl 1478.11080 Isr. J. Math. 242, No. 1, 279-289 (2021). Reviewer: Bin Xu (Beijing) MSC: 11F70 11F72 11F66 × Cite Format Result Cite Review PDF Full Text: DOI
Grobner, Harald; Lin, Jie Special values of \(L\)-functions and the refined Gan-Gross-Prasad conjecture. (English) Zbl 1492.11099 Am. J. Math. 143, No. 3, 859-937 (2021). Reviewer: Laure Blasco (Paris) MSC: 11F67 11F66 11F70 22E55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tung, Shen-Ning On the modularity of 2-adic potentially semi-stable deformation rings. (English) Zbl 1484.11130 Math. Z. 298, No. 1-2, 107-159 (2021). Reviewer: Jack Shotton (Durham) MSC: 11F80 22E50 11F70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kim, Yeansu Langlands-Shahidi \(L\)-functions for \(\mathrm{GSpin}\) groups and the generic Arthur packet conjecture. (English) Zbl 1469.11143 Trans. Am. Math. Soc. 374, No. 4, 2559-2580 (2021). Reviewer: Ivan Matić (Osijek) MSC: 11F70 22E50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Essouabri, Driss On mean values of multivariable complex valued multiplicative functions and applications. (English) Zbl 1471.11250 Mishou, Hidehiko (ed.) et al., Various aspects of multiple zeta functions – in honor of Professor Kohji Matsumoto’s 60th birthday. Proceedings of the international conference, Nagoya University, Nagoya, Japan August 21–25, 2020. Tokyo: Mathematical Society of Japan. Adv. Stud. Pure Math. 84, 23-64 (2020). Reviewer: B. Z. Moroz (Bonn) MSC: 11N37 11M32 11M41 11R42 11R52 11S40 11S45 14G10 11E45 11F66 11F70 11F72 11P21 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Lu, Hengfei The Prasad conjectures for \(\mathrm{GSp}_4\) and \(\mathrm{PGSp}_4\). (English) Zbl 1471.22017 Algebra Number Theory 14, No. 9, 2417-2480 (2020). MSC: 22E50 11F27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aubert, Anne-Marie Some aspects of the geometric structure of the smooth dual of \(p\)-adic reductive groups. (English) Zbl 1477.22010 Dąbrowski, Ludwik (ed.) et al., Quantum dynamics. Dedicated to Professor Paul Baum. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 120, 135-150 (2020). Reviewer: Alexandre Afgoustidis (Vandœuvre-lès-Nancy) MSC: 22E50 11S37 19L47 20G25 × Cite Format Result Cite Review PDF Full Text: DOI
Lemma, Francesco Algebraic cycles and residues of degree \(8 L\)-functions of GSp(4) \(\times\) GL(2). (English) Zbl 1456.11084 Int. Math. Res. Not. 2020, No. 12, 3614-3648 (2020). MSC: 11F66 11F70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Eischen, Ellen; Harris, Michael; Li, Jianshu; Skinner, Christopher \(p\)-adic \(L\)-functions for unitary groups. (English) Zbl 1473.11118 Forum Math. Pi 8, Paper No. e9, 160 p. (2020). MSC: 11F85 11F66 14G10 11F55 11R23 14G35 11G10 11F03 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Adrian, Moshe; Kaplan, Eyal The Langlands parameter of a simple supercuspidal representation: symplectic groups. (English) Zbl 1458.11165 Ramanujan J. 50, No. 3, 589-619 (2019). MSC: 11S37 11F70 22E50 11F85 22E55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lemke Oliver, Robert J.; Thorner, Jesse Effective log-free zero density estimates for automorphic \(L\)-functions and the Sato-Tate conjecture. (English) Zbl 1469.11126 Int. Math. Res. Not. 2019, No. 22, 6988-7036 (2019). MSC: 11F66 11F68 11F70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aymone, Marco Real zeros of random Dirichlet series. (English) Zbl 1422.60072 Electron. Commun. Probab. 24, Paper No. 54, 8 p. (2019). MSC: 60G50 11M41 11R42 11R52 11S40 11S45 14G10 11E45 11F66 11F70 11F72 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Li, Wen-Wei Contragredient representations over local fields of positive characteristic. (English) Zbl 1442.11081 Algebra Number Theory 13, No. 5, 1197-1242 (2019). Reviewer: Marcela Hanzer (Zagreb) MSC: 11F70 11R58 22E55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ye, Rongqing Rankin-Selberg gamma factors of level zero representations of \(\mathrm{GL}_{n}\). (English) Zbl 1422.22020 Forum Math. 31, No. 2, 503-516 (2019). Reviewer: Anton Deitmar (Tübingen) MSC: 22E50 11F66 20C33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lomelí, Luis Alberto Rationality and holomorphy of Langlands-Shahidi \(L\)-functions over function fields. (English) Zbl 1443.11085 Math. Z. 291, No. 1-2, 711-739 (2019). MSC: 11F70 22E50 22E55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Getz, Jayce R.; Liu, Baiying A summation formula for triples of quadratic spaces. (English) Zbl 1443.11083 Adv. Math. 347, 150-191 (2019). MSC: 11F70 11F66 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Colmez, Pierre \(p\)-adic local Langlands correspondence and weight shifting. (Correspondance de Langlands locale \(p\)-adique et changement de poids.) (French. English summary) Zbl 1470.11304 J. Eur. Math. Soc. (JEMS) 21, No. 3, 797-838 (2019). MSC: 11S37 22E50 × Cite Format Result Cite Review PDF Full Text: DOI
Hendel, Yotam I. On the universal mod \(p\) supersingular quotients for \(\mathrm{GL}_{2}(F)\) over \(\overline{\mathbb{F}}_p\) for a general \(F/\mathbb{Q}_p\). (English) Zbl 1454.11213 J. Algebra 519, 1-38 (2019). MSC: 11S37 20G05 11F80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jacinto, Joaquín Rodrigues Kato’s local \(\varepsilon\)-conjecture in dimension 2. (La conjecture \(\varepsilon\) locale de Kato en dimension 2.) (French. English summary) Zbl 1446.11103 Math. Ann. 372, No. 3-4, 1277-1334 (2018). MSC: 11F80 11R23 11S37 11S25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jiang, Dihua; Zhang, Lei Local root numbers and spectrum of the local descents for orthogonal groups: \(p\)-adic case. (English) Zbl 1467.11051 Algebra Number Theory 12, No. 6, 1489-1535 (2018). Reviewer: Marcela Hanzer (Zagreb) MSC: 11F70 11S25 20G25 22E50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Silberger, Allan J.; Zink, Ernst-Wilhelm Langlands classification for L-parameters. (English) Zbl 1404.22045 J. Algebra 511, 299-357 (2018). Reviewer: Valeriu Popa (Chişinău) MSC: 22E50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wong, Peng-Jie Applications of group theory to conjectures of Artin and Langlands. (English) Zbl 1440.11212 Int. J. Number Theory 14, No. 3, 881-898 (2018). MSC: 11R39 11F70 11F80 × Cite Format Result Cite Review PDF Full Text: DOI
Drinfeld, Vladimir On the pro-semisimple completion of the fundamental group of a smooth variety over a finite field. (English) Zbl 1391.14042 Adv. Math. 327, 708-788 (2018). Reviewer: David McKinnon (Waterloo) MSC: 14G15 11G35 20G05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Choiy, Kwangho The local Langlands conjecture for the \(p\)-adic inner form of \(\mathrm{Sp}_4\). (English) Zbl 1405.11066 Int. Math. Res. Not. 2017, No. 6, 1830-1889 (2017). MSC: 11F70 11S37 22E50 11F55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ito, Tetsushi Number theoretic applications of the theory of perfectoid spaces. (Japanese. English summary) Zbl 1425.11127 RIMS Kôkyûroku Bessatsu B64, 255-293 (2017). MSC: 11G18 11G25 11R39 14G22 14G35 × Cite Format Result Cite Review PDF
Aubert, Anne-Marie; Baum, Paul; Plymen, Roger; Solleveld, Maarten Conjectures about \(p\)-adic groups and their noncommutative geometry. (English) Zbl 1468.22020 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, 15-51 (2017). MSC: 22E50 20G25 11S37 19L47 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Jiang, Dihua; Nien, Chufeng On the local Langlands conjecture and related problems over \(p\)-adic local fields. (English) Zbl 1432.11055 Lin, Chang-Shou (ed.) et al., Proceedings of the sixth international congress of Chinese mathematicians, ICCM 2013, Taipei, Taiwan, July 14–19, 2013. Volume I. Somerville, MA: International Press; Beijing: Higher Education Press. Adv. Lect. Math. (ALM) 36, 309-325 (2017). MSC: 11F70 22E50 11F85 × Cite Format Result Cite Review PDF Full Text: Link
Atobe, Hiraku; Gan, Wee Teck On the local Langlands correspondence and Arthur conjecture for even orthogonal groups. (English) Zbl 1419.11088 Represent. Theory 21, 354-415 (2017). MSC: 11F70 11F55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wong, Peng-Jie Langlands reciprocity for certain Galois extensions. (English) Zbl 1418.11148 J. Number Theory 178, 126-145 (2017). MSC: 11R39 11F70 11F80 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guerberoff, Lucio Period relations for automorphic forms on unitary groups and critical values of \(L\)-functions. (English) Zbl 1379.11056 Doc. Math. 21, 1397-1458 (2016). Reviewer: Wen-Wei Li (Beijing) MSC: 11F67 11F70 11G18 11R39 22E55 × Cite Format Result Cite Review PDF Full Text: arXiv EMIS
Aubert, Anne-Marie; Baum, Paul; Plymen, Roger; Solleveld, Maarten The local Langlands correspondence for inner forms of \(\mathrm{SL}_{n}\). (English) Zbl 1394.22015 Res. Math. Sci. 3, Paper No. 32, 34 p. (2016). MSC: 22E50 20G05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Backlinks: MO
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Deitmar, Anton; Kang, Ming-Hsuan Zeta functions of \({\mathbb F}_1\)-buildings. (English) Zbl 1377.11062 J. Math. Soc. Japan 68, No. 2, 807-822 (2016). Reviewer: Zhengyu Mao (Newark) MSC: 11F70 11F25 11F66 14G10 20E42 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Parshin, A. N. On the direct image conjecture in the relative Langlands programme. (English. Russian original) Zbl 1371.14019 Russ. Math. Surv. 70, No. 5, 961-963 (2015); translation from Usp. Mat. Nauk 70, No. 5, 181-182 (2015). Reviewer: Paul Vojta (Berkeley) MSC: 14D24 22E57 11R39 × Cite Format Result Cite Review PDF Full Text: DOI
Sorensen, Claus M. The Breuil-Schneider conjecture: a survey. (English) Zbl 1383.11077 Alaca, Ayşe (ed.) et al., Advances in the theory of numbers. Proceedings of the thirteenth conference of the Canadian Number Theory Association, CNTA, Ottawa, Canada, June 16–20, 2014. Toronto: The Fields Institute for Research in the Mathematical Sciences; New York, NY: Springer (ISBN 978-1-4939-3200-9/hbk; 978-1-4939-3201-6/ebook). Fields Institute Communications 77, 219-235 (2015). MSC: 11F85 11S37 14F30 11-02 × Cite Format Result Cite Review PDF Full Text: DOI
Hu, Yongquan; Tan, Fucheng The Breuil-Mézard conjecture for non-scalar split residual representations. (La conjecture de Breuil-Mézard pour les représentations résiduelles scindées non scalaires.) (English. French summary) Zbl 1334.11041 Ann. Sci. Éc. Norm. Supér. (4) 48, No. 6, 1383-1421 (2015). Reviewer: Shuyang Cheng (Chicago) MSC: 11F80 11S37 11F85 22E50 × Cite Format Result Cite Review PDF Full Text: arXiv
Bezrukavnikov, Roman; Kazhdan, David; Varshavsky, Yakov A categorical approach to the stable center conjecture. (English. French summary) Zbl 1348.22022 Bost, Jean-Benoît (ed.) et al., De la géométrie algébrique aux formes automorphes (I). Une collection d’articles en l’honneur du soixantième anniversaire de Gérard Laumon. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-805-3/pbk). Astérisque 369, 25-97 (2015). Reviewer: Peter Crooks (Toronto) MSC: 22E50 22E57 14D24 × Cite Format Result Cite Review PDF Full Text: arXiv
Chenevier, Gaëtan; Renard, David Level one algebraic cusp forms of classical groups of small rank. (English) Zbl 1376.11036 Mem. Am. Math. Soc. 1121, v, 122 p. (2015). MSC: 11F55 11F46 11F70 11F72 11F80 11G40 22E55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cho, Peter J.; Kim, Henry H. Low lying zeros of Artin \(L\)-functions. (English) Zbl 1320.11045 Math. Z. 279, No. 3-4, 669-688 (2015). Reviewer: B. Z. Moroz (Bonn) MSC: 11F66 11R42 11F70 15B52 60B20 11M41 11N75 × Cite Format Result Cite Review PDF Full Text: DOI
Chan, Ping-Shun; Gan, Wee Teck The local Langlands conjecture for \(\mathrm{GSp}(4)\). III: Stability and twisted endoscopy. (English) Zbl 1366.11074 J. Number Theory 146, 69-133 (2015). MSC: 11F70 22E50 × Cite Format Result Cite Review PDF Full Text: DOI
Gan, Wee Teck Theta correspondence: recent progress and applications. (English) Zbl 1373.11040 Jang, Sun Young (ed.) et al., Proceedings of the International Congress of Mathematicians (ICM 2014), Seoul, Korea, August 13–21, 2014. Vol. II: Invited lectures. Seoul: KM Kyung Moon Sa (ISBN 978-89-6105-805-6/hbk; 978-89-6105-803-2/set). 343-366 (2014). MSC: 11F70 11F67 22E50 × Cite Format Result Cite Review PDF
Aubert, Anne-Marie; Baum, Paul; Plymen, Roger; Solleveld, Maarten Geometric structure in smooth dual and local Langlands conjecture. (English) Zbl 1371.11097 Jpn. J. Math. (3) 9, No. 2, 99-136 (2014). MSC: 11F85 22E50 11R39 20G05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Wu, Han Burgess-like subconvex bounds for \(\mathrm{GL}_{2}\times \mathrm{GL}_{1}\). (English) Zbl 1376.11037 Geom. Funct. Anal. 24, No. 3, 968-1036 (2014). MSC: 11F66 11F67 11F70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dat, Jean-François Lefschetz operator and local Langlands modulo \(\ell\): the limit case. (English) Zbl 1329.11126 Algebra Number Theory 8, No. 3, 729-766 (2014). Reviewer: Yuval Z. Flicker (Columbus) MSC: 11S37 11F70 14G35 × Cite Format Result Cite Review PDF Full Text: DOI
Gan, Wee Teck; Tantono, Welly The local Langlands conjecture for \(\mathrm{Gsp(4)}\). II: The case of inner forms. (English) Zbl 1298.11043 Am. J. Math. 136, No. 3, 761-805 (2014). Reviewer: Paul Broussous (Poitiers) MSC: 11F70 22E50 × Cite Format Result Cite Review PDF Full Text: DOI Link
Schein, Michael M. Serre’s modularity conjecture. (English) Zbl 1318.11073 Arias-de-Reyna, Sara (ed.) et al., Special issue: Proceedings of the Winter School on Galois theory, Universtity of Luxembourg, Luxembourg, February 15–24, 2012. Vol. II. Luxembourg: University of Luxembourg, Faculty of Science, Technology and Communication (ISBN 978-2-919940-09-7/pbk). Travaux Mathématiques 23, 139-172 (2013). Reviewer: Robert Harron (Madison) MSC: 11F80 11F41 11R39 × Cite Format Result Cite Review PDF Full Text: arXiv Link
De Ieso, Marco Existence of invariant norms for \(\mathrm{GL}_2\). (Existence de normes invariantes pour \(\mathrm{GL}_2\).) (French. English summary) Zbl 1286.11081 J. Number Theory 133, No. 8, 2729-2755 (2013). MSC: 11F70 11F85 11S25 20G05 22E50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lust, Jaime Depth-zero supercuspidal \(L\)-packets for inner forms of \(\mathrm{GSp}_4\). (English) Zbl 1284.22010 J. Algebra 389, 23-60 (2013). Reviewer: L. N. Vaserstein (University Park) MSC: 22E50 11S37 11F70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Flicker, Yuval Z. Drinfeld moduli schemes and automorphic forms. The theory of elliptic modules with applications. (English) Zbl 1269.11052 SpringerBriefs in Mathematics. Berlin: Springer (ISBN 978-1-4614-5887-6/pbk; 978-1-4614-5888-3/ebook). v, 154 p. (2013). Reviewer: Wen-Wei Li (Beijing) MSC: 11F70 11-02 22E35 22E50 11G09 11G20 11G45 11S37 14G10 11F72 × Cite Format Result Cite Review PDF Full Text: DOI
Chenevier, Gaëtan Représentations galoisiennes automorphes et conséquences arithmétiques des conjectures de Langlands et Arthur. arXiv:1307.5170 Preprint, arXiv:1307.5170 [math.NT] (2013). MSC: 11F27 11F33 11F46 11F55 11F70 11F72 11F80 11G40 11H06 11R32 11R39 11S15 11S37 11Y55 14D15 14D20 14D22 14G22 14G32 14G35 16R30 22C05 20E18 × Cite Format Result Cite Full Text: arXiv OA License
Mœglin, Colette; Waldspurger, Jean-Loup The local Gross-Prasad conjecture for the special orthogonal groups: the general case. (La conjecture locale de Gross-Prasad pour les groupes spéciaux orthogonaux: le cas général.) (French) Zbl 1276.22007 Mœglin, Colette et al., Sur les conjectures de Gross et Prasad. II. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-350-8/pbk). Astérisque 347, 167-216 (2012). Reviewer: Zhengyu Mao (Newark) MSC: 22E50 11F70 × Cite Format Result Cite Review PDF Full Text: arXiv
Drinfeld, Vladimir On a conjecture of Deligne. (English) Zbl 1271.14028 Mosc. Math. J. 12, No. 3, 515-542 (2012). Reviewer: Matthias Schütt (Hannover) MSC: 14G15 11G35 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Adams, Jeffrey; Trapa, Peter E. Duality for nonlinear simply laced groups. (English) Zbl 1276.22004 Compos. Math. 148, No. 3, 931-965 (2012). Reviewer: Oded Yacobi (Toronto) MSC: 22E47 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nakasuji, Maki Generalized Ramanujan conjecture over general imaginary quadratic fields. (English) Zbl 1257.11052 Forum Math. 24, No. 1, 85-98 (2012). MSC: 11F70 11F66 11M26 × Cite Format Result Cite Review PDF Full Text: DOI
Kowalski, Emmanuel; Saha, Abhishek; Tsimerman, Jacob Local spectral equidistribution for Siegel modular forms and applications. (English) Zbl 1311.11037 Compos. Math. 148, No. 2, 335-384 (2012). MSC: 11F46 11F66 11F67 11F70 11F30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kazhdan, David; Varshavsky, Yakov On endoscopic transfer of Deligne-Lusztig functions. (English) Zbl 1241.22021 Duke Math. J. 161, No. 4, 675-732 (2012). Reviewer: Bala Sury (Bangalore) MSC: 22E50 22E35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Calegari, Frank Even Galois representations and the Fontaine-Mazur conjecture. II. (English) Zbl 1282.11051 J. Am. Math. Soc. 25, No. 2, 533-554 (2012). Reviewer: Stefan Kühnlein (Karlsruhe) MSC: 11F70 11R39 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gerasimov, Anton; Lebedev, Dimitri; Oblezin, Sergey Archimedean \(L\)-factors and topological field theories. I. (English) Zbl 1251.14011 Commun. Number Theory Phys. 5, No. 1, 57-100 (2011). Reviewer: Daniel Moskovich (Singapore) MSC: 14G10 81T45 14N35 33B15 11S80 53D45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Blomer, Valentin; Brumley, Farrell On the Ramanujan conjecture over number fields. (English) Zbl 1322.11039 Ann. Math. (2) 174, No. 1, 581-605 (2011). Reviewer: Solomon Friedberg (Chestnut Hill) MSC: 11F30 11F66 11F70 22E55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gelbart, Steve Shahidi’s work “On certain \(L\)-functions”: a short history of Langlands-Shahidi theory. (English) Zbl 1288.11047 Arthur, James (ed.) et al., On certain \(L\)-functions. Conference on certain \(L\)-functions in honor of Freydoon Shahidi on the occasion of his 60th birthday, West Lafayette, IN, USA July 23–27, 2007. Providence, RI: American Mathematical Society (AMS); Cambridge, MA: Clay Mathematics Institute (ISBN 978-0-8218-5204-0/pbk). Clay Mathematics Proceedings 13, 1-18 (2011). Reviewer: Balasubramanian Sury (Bangalore) MSC: 11F66 11F70 22E55 × Cite Format Result Cite Review PDF
Gómez, Tomás L. Quantization of Hitchin’s integrable system and the geometric Langlands conjecture. (English) Zbl 1223.14004 Schmitt, Alexander (ed.), Affine flag manifolds and principal bundles. Basel: Birkhäuser (ISBN 978-3-0346-0287-7/hbk). Trends in Mathematics, 51-90 (2010). Reviewer: Florin Nicolae (Berlin) MSC: 14-02 14D24 × Cite Format Result Cite Review PDF Full Text: DOI
Harris, Michael Arithmetic applications of the Langlands program. (English) Zbl 1203.11040 Jpn. J. Math. (3) 5, No. 1, 1-71 (2010). Reviewer: Florin Nicolae (Berlin) MSC: 11F70 11-02 11F72 11F80 11G18 11R39 11S37 × Cite Format Result Cite Review PDF Full Text: DOI
Odžak, Almasa; Smajlović, Lejla On Li’s coefficients for the Rankin-Selberg \(L\)-functions. (English) Zbl 1248.11036 Ramanujan J. 21, No. 3, 303-334 (2010). Reviewer: Joseph Hundley (Carbondale) MSC: 11F66 11F70 11M26 11M41 × Cite Format Result Cite Review PDF Full Text: DOI
Kuo, Wentang A generalization of the Sato-Tate conjecture. (English) Zbl 1229.11076 Int. J. Number Theory 5, No. 1, 173-184 (2009). MSC: 11F66 11F70 11F25 × Cite Format Result Cite Review PDF Full Text: DOI
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
Carayol, Henri The Sato-Tate conjecture (after Clozel, Harris, Shepherd-Barron, Taylor). (La conjecture de Sato-Tate (d’après Clozel, Harris, Shepherd-Barron, Taylor).) (French) Zbl 1230.11073 Séminaire Bourbaki. Volume 2006/2007. Exposés 967–981. Paris: Société Mathématique de France (ISBN 978-2-85629-253-2/pbk). Astérisque 317, 345-392, Exp. No. 977 (2008). Reviewer: Laurent Berger (Lyon) MSC: 11G05 11F03 11F70 11F80 11R39 × Cite Format Result Cite Review PDF Full Text: Link
Strauch, Matthias Geometrically connected components of Lubin-Tate deformation spaces with level structures. (English) Zbl 1193.11112 Pure Appl. Math. Q. 4, No. 4, 1215-1232 (2008). Reviewer: Matthew Morrow (Nottingham) MSC: 11S37 11S31 11G09 14L05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Braverman, Alexander; Gaitsgory, Dennis Deformations of local systems and Eisenstein series. (English) Zbl 1234.11155 Geom. Funct. Anal. 17(2007), No. 6, 1788-1850 (2008). Reviewer: Vasily A. Chernecky (Odessa) MSC: 11R39 14D24 11G45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cogdell, James W. \(L\)-functions and converse theorems for \(\mathrm{GL}_n\). (English) Zbl 1138.11018 Sarnak, Peter (ed.) et al., Automorphic forms and applications. Papers of the IAS/Park City Mathematics Institute, Park City, UT, USA, July 1–20, 2002. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-2873-1/hbk). IAS/Park City Mathematics Series 12, 97-177 (2007). Reviewer: Samuel James Patterson (Göttingen) MSC: 11F70 22E55 11-02 11R56 × Cite Format Result Cite Review PDF
Taylor, Richard On the meromorphic continuation of degree two \(L\)-functions. (English) Zbl 1138.11051 Doc. Math. Extra Vol., John H. Coates’ Sixtieth Birthday, 729-779 (2006). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11R39 11F80 11G40 11F41 11F70 × Cite Format Result Cite Review PDF Full Text: EuDML EMIS
Sarnak, Peter (ed.); Shahidi, Freydoon (ed.) Automorphic forms and applications. Papers of the IAS/Park City Mathematics Institute, Park City, UT, USA, July 1–20, 2002. (English) Zbl 1116.11003 IAS/Park City Mathematics Series 12. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-2873-1/hbk). xiv, 427 p. (2007). MSC: 11-06 00B25 11F12 11F66 11F70 11F72 11G40 11M36 11T60 22E46 81Q50 × Cite Format Result Cite Review PDF
Gaitsgory, D. On de Jong’s conjecture. (English) Zbl 1123.11020 Isr. J. Math. 157, 155-191 (2007). Reviewer: Werner Kleinert (Berlin) MSC: 11G20 14H25 14H30 11F80 14F35 11R39 14F10 14A20 11F25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Emerton, Matthew A local-global compatibility conjecture in the \(p\)-adic Langlands programme for \(\text{GL}_{2}/\mathbb Q\). (English) Zbl 1254.11106 Pure Appl. Math. Q. 2, No. 2, 279-393 (2006). Reviewer: Kâzım Büyükboduk (Istanbul) MSC: 11S37 22E55 11F70 11F80 × Cite Format Result Cite Review PDF Full Text: DOI
Sarnak, Peter Notes on the generalized Ramanujan conjectures. (English) Zbl 1146.11031 Arthur, James (ed.) et al., Harmonic analysis, the trace formula, and Shimura varieties. Proceedings of the Clay Mathematics Institute 2003 summer school, Toronto, Canada, June 2–27, 2003. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3844-X/pbk). Clay Mathematics Proceedings 4, 659-685 (2005). Reviewer: Marcela Hanzer (Zagreb) MSC: 11F70 22E55 11F11 × Cite Format Result Cite Review PDF
Kottwitz, Robert E. Harmonic analysis on reductive \(p\)-adic groups and Lie algebras. (English) Zbl 1106.22013 Arthur, James (ed.) et al., Harmonic analysis, the trace formula, and Shimura varieties. Proceedings of the Clay Mathematics Institute 2003 summer school, Toronto, Canada, June 2–27, 2003. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3844-X/pbk). Clay Mathematics Proceedings 4, 393-522 (2005). Reviewer: Min Ho Lee (Cedar Falls) MSC: 22E50 22E35 × Cite Format Result Cite Review PDF
Liu, Jianya; Wang, Yonghui; Ye, Yangbo A proof of Selberg’s orthogonality for automorphic \(L\)-functions. (English) Zbl 1183.11027 Manuscr. Math. 118, No. 2, 135-149 (2005). MSC: 11F70 11F66 11M41 × Cite Format Result Cite Review PDF Full Text: DOI