Gazda, Q. On the integral part of \(A\)-motivic cohomology. (English) Zbl 07930317 Compos. Math. 160, No. 8, 1715-1783 (2024). MSC: 14F42 11G09 11R58 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Böckle, Gebhard; Feng, Tony; Harris, Michael; Khare, Chandrashekhar B.; Thorne, Jack A. Cyclic base change of cuspidal automorphic representations over function fields. (English) Zbl 07922972 Compos. Math. 160, No. 9, 1959-2004 (2024). MSC: 11F70 55M35 11R39 11S37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Karemaker, Valentijn; Katen, Jeffrey; Papikian, Mihran Isomorphism classes of Drinfeld modules over finite fields. (English) Zbl 1545.11056 J. Algebra 644, 381-410 (2024). Reviewer: Ernst-Ulrich Gekeler (Saarbrücken) MSC: 11G09 11R58 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bieker, Patrick Compactification of level maps of moduli spaces of Drinfeld shtukas. (English) Zbl 1524.14054 J. Algebra 634, 404-455 (2023). MSC: 14G35 11G09 14L05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Asgari, Mahdi; Kaveh, Kiumars On combinatorics of the Arthur trace formula, convex polytopes, and toric varieties. (English) Zbl 1522.11044 Can. J. Math. 75, No. 2, 375-420 (2023). MSC: 11F72 14M25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Poonen, Bjorn Introduction to Drinfeld modules. (English) Zbl 1506.11091 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, 167-186 (2022). MSC: 11G09 11G45 11R37 × Cite Format Result Cite Review PDF Full Text: DOI
Li-Huerta, Siyan Daniel The local Langlands correspondence for \(\mathrm{GL}_n\) over function fields. (English) Zbl 1510.11116 Algebra Number Theory 16, No. 9, 2119-2214 (2022). Reviewer: Kenta Suzuki (Cambridge) MSC: 11F70 11S37 11G09 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Anglès, Bruno; Tuan Ngo Dac; Tavares Ribeiro, Floric A class formula for admissible Anderson modules. (English) Zbl 1501.11063 Invent. Math. 229, No. 2, 563-606 (2022). Reviewer: Gabriel D. Villa Salvador (Ciudad de México) MSC: 11G09 11M38 11R58 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Garai, Sumita; Papikian, Mihran Computing endomorphism rings and Frobenius matrices of Drinfeld modules. (English) Zbl 1497.11156 J. Number Theory 237, 145-164 (2022). MSC: 11G09 11R58 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Garai, Sumita; Papikian, Mihran Reprint of: Endomorphism rings of reductions of Drinfeld modules. (English) Zbl 1475.11117 J. Number Theory 232, 155-176 (2022). MSC: 11G09 11R58 × Cite Format Result Cite Review PDF Full Text: DOI
Hattori, Shin On the compactification of the Drinfeld modular curve of level \(\Gamma_1^\Delta(\mathfrak{n})\). (English) Zbl 1489.11090 J. Number Theory 232, 75-100 (2022). MSC: 11G09 11F52 14L05 11G18 × 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
Hattori, Shin Duality of Drinfeld modules and \(\wp\)-adic properties of Drinfeld modular forms. (English) Zbl 1498.11136 J. Lond. Math. Soc., II. Ser. 103, No. 1, 35-70 (2021). Reviewer: Oğuz Gezmiş (Heidelberg) MSC: 11F52 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nicole, Marc-Hubert; Rosso, Giovanni Families of Drinfeld modular forms for the general linear group. (Familles de formes modulaires de Drinfeld pour le groupe général linéaire.) (French) Zbl 1481.11050 Trans. Am. Math. Soc. 374, No. 6, 4227-4266 (2021). Reviewer: Andrea Bandini (Pisa) MSC: 11F33 11F52 11G09 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gekeler, Ernst-Ulrich Invertible functions on nonarchimedean symmetric spaces. (English) Zbl 1453.32027 Algebra Number Theory 14, No. 9, 2481-2504 (2020). MSC: 32P05 11F23 11F85 32C30 32C36 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Taelman, Lenny 1-\(t\)-motifs. (English) Zbl 1441.11151 Böckle, Gebhard (ed.) et al., \(t\)-motives: Hodge structures, transcendence and other motivic aspects. EMS Series of Congress Reports. Zürich: European Mathematical Society (EMS). 417-439 (2020). MSC: 11G09 11-02 14A20 11J93 11M38 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Brownawell, W. Dale; Papanikolas, Matthew A. A rapid introduction to Drinfeld modules, \(t\)-modules, and \(t\)-motives. (English) Zbl 1440.14020 Böckle, Gebhard (ed.) et al., \(t\)-motives: Hodge structures, transcendence and other motivic aspects. EMS Series of Congress Reports. Zürich: European Mathematical Society (EMS). 3-30 (2020). MSC: 14C15 14C30 11G09 11R58 14-01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bondarewicz, Wojciech; Krasoń, Piotr On a reduction map for Drinfeld modules. (English) Zbl 1458.11096 Acta Arith. 195, No. 2, 109-129 (2020). Reviewer: Gabriel D. Villa Salvador (Ciudad de México) MSC: 11G09 14G05 14G25 11J93 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Garai, Sumita; Papikian, Mihran Endomorphism rings of reductions of Drinfeld modules. (English) Zbl 1439.11140 J. Number Theory 212, 18-39 (2020). Reviewer: Gabriel D. Villa Salvador (Ciudad de México) MSC: 11G09 11R58 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kondo, Satoshi; Yasuda, Seidai Regularity of quotients of Drinfeld modular schemes. (English) Zbl 1465.11111 Pac. J. Math. 304, No. 2, 481-503 (2020). MSC: 11F32 11G09 14G35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wei, Fu-Tsun On derivatives of Siegel-Eisenstein series over global function fields. (English) Zbl 1448.11206 J. Lond. Math. Soc., II. Ser. 100, No. 2, 518-544 (2019). Reviewer: Gabriel D. Villa Salvador (Ciudad de México) MSC: 11R58 11F46 11G09 11M36 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Borger, James; Saha, Arnab Isocrystals associated to arithmetic jet spaces of abelian schemes. (English) Zbl 1423.14141 Adv. Math. 351, 388-428 (2019). Reviewer: Dingxin Zhang (Beijing) MSC: 14F30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Borger, James; Saha, Arnab Differential characters of Drinfeld modules and de Rham cohomology. (English) Zbl 1451.11058 Algebra Number Theory 13, No. 4, 797-837 (2019). Reviewer: Ernst-Ulrich Gekeler (Saarbrücken) (MR3951581) MSC: 11G99 14L05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Badulescu, A. I. The trace formula and the proof of the global Jacquet-Langlands correspondence. (English) Zbl 1457.11067 Heiermann, Volker (ed.) et al., Relative aspects in representation theory, Langlands functoriality and automorphic forms. CIRM Jean-Morlet Chair, spring 2016. Cham: Springer; Paris: Société Mathématique de France (SMF). Lect. Notes Math. 2221, 197-250 (2018). MSC: 11F72 11F70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Papikian, Mihran Drinfeld-Stuhler modules. (English) Zbl 1475.11118 Res. Math. Sci. 5, No. 4, Paper No. 40, 33 p. (2018). Reviewer: Damián Gvirtz (London) MSC: 11G09 11R52 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lafforgue, Vincent Shutkas for reductive groups and global Langlands parametrization. (Chtoucas pour les groupes réductifs et paramétrisation de Langlands globale.) (French. English summary) Zbl 1395.14017 J. Am. Math. Soc. 31, No. 3, 719-891 (2018). Reviewer: J. G. M. Mars (Utrecht) MSC: 14G35 14H60 11F70 22E55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Poguntke, Thomas Group schemes with \(\mathbb{F}_q\)-action. (Schémas en groupes avec \(\mathbb{F}_q\)-action.) (English. French summary) Zbl 1406.14038 Bull. Soc. Math. Fr. 145, No. 2, 345-380 (2017). Reviewer: Wen-Wei Li (Beijing) MSC: 14L15 14L17 14G17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Heuer, Ben Rigid \(\tau\)-crystals. (English. French summary) Zbl 1395.14012 J. Théor. Nombres Bordx. 29, No. 3, 1059-1082 (2017). Reviewer: Shishir Agrawal (Colorado Springs) MSC: 14F30 14G22 14G17 × Cite Format Result Cite Review PDF Full Text: DOI
Papikian, Mihran On Garland’s vanishing theorem for \(\mathrm{SL}_n\). (English) Zbl 1390.22018 Eur. J. Math. 2, No. 3, 579-613 (2016). MSC: 22E50 05C50 20E42 22E40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zywina, David The Sato-Tate law for Drinfeld modules. (English) Zbl 1335.11045 Trans. Am. Math. Soc. 368, No. 3, 2185-2222 (2016). Reviewer: Ernst-Ulrich Gekeler (Saarbrücken) MSC: 11G09 11F80 11R58 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Getz, Jayce Robert; Herman, Paul Edward A nonabelian trace formula. (English) Zbl 1380.11072 Res. Math. Sci. 2, Paper No. 14, 21 p. (2015). MSC: 11F72 11F70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Grosse-Klönne, Elmar On special representations of \(p\)-adic reductive groups. (English) Zbl 1298.22018 Duke Math. J. 163, No. 12, 2179-2216 (2014). MSC: 22E50 11S99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
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
Johansson, Christian Classicality for small slope overconvergent automorphic forms on some compact PEL Shimura varieties of type C. (English) Zbl 1346.11033 Math. Ann. 357, No. 1, 51-88 (2013). MSC: 11F33 11G18 14F30 14G35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kondo, Satoshi; Yasuda, Seidai Zeta elements in the \(K\)-theory of Drinfeld modular varieties. (English) Zbl 1305.11054 Math. Ann. 354, No. 2, 529-587 (2012). Reviewer: Gabriel D. Villa-Salvador (México D. F.) MSC: 11G09 11F52 11F67 × Cite Format Result Cite Review PDF Full Text: DOI
Hartl, Urs Period spaces for Hodge structures in equal characteristic. (English) Zbl 1304.11050 Ann. Math. (2) 173, No. 3, 1241-1358 (2011). Reviewer: Xiao Liang (Storrs) MSC: 11G09 13A35 14G20 14G22 14D07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bornhofen, Matthias; Hartl, Urs Pure Anderson motives and abelian \(\tau\)-sheaves. (English) Zbl 1227.11077 Math. Z. 268, No. 1-2, 67-100 (2011). Reviewer: Jean-Paul Allouche (Paris) MSC: 11G09 13A35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Papikian, Mihran On finite arithmetic simplicial complexes. (English) Zbl 1275.11081 Proc. Am. Math. Soc. 139, No. 1, 111-124 (2011). MSC: 11F52 11G09 20E08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Papikian, Mihran Endomorphisms of exceptional \(\mathcal{D}\)-elliptic sheaves. (English) Zbl 1291.11096 Math. Z. 266, No. 2, 407-423 (2010). Reviewer: Aristides Kontogeorgis (Panepistimiopolis) MSC: 11G09 11M38 11R58 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bushnell, Colin J.; Henniart, Guy; Lemaire, Bertrand Character and formal degree for the interior forms of \(\mathrm{GL}(n)\) on a local field of nonzero characteristic. (Caractère et degré formel pour les formes intérieures de \(\mathrm{GL}(n)\) sur un corps local de caractéristique non nulle.) (French. English summary) Zbl 1181.22015 Manuscr. Math. 131, No. 1-2, 11-24 (2010). MSC: 22E50 × Cite Format Result Cite Review PDF Full Text: DOI
Hartl, Urs A dictionary between Fontaine-theory and its analogue in equal characteristic. (English) Zbl 1186.11071 J. Number Theory 129, No. 7, 1734-1757 (2009). Reviewer: Scott Corry (Appleton) MSC: 11S20 11G09 14L05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bornhofen, Matthias; Hartl, Urs Pure Anderson motives over finite fields. (English) Zbl 1227.11076 J. Number Theory 129, No. 2, 247-283 (2009). Reviewer: Jean-Paul Allouche (Paris) MSC: 11G09 14L05 13A35 16K20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Taelman, Lenny Artin \(t\)-motifs. (English) Zbl 1254.11059 J. Number Theory 129, No. 1, 142-157 (2009). MSC: 11G09 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shastry, Sreekar M. The Drinfeld modular Jacobian \(J_1 (N)\) has connected fibers. (English) Zbl 1165.11047 Ann. Inst. Fourier 57, No. 4, 1217-1252 (2007). Reviewer: Florian Breuer (Stellenbosch) MSC: 11F52 14L05 11G09 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Ngô, Bao Châu Drinfeld \(D\)-shtukas with symmetric modification and base change identity. (\(D\)-chtoucas de Drinfeld à modifications symétriques et identité de changement de base.) (French. English summary) Zbl 1147.22012 Ann. Sci. Éc. Norm. Supér. (4) 39, No. 2, 197-243 (2006). MSC: 22E50 11F70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Numdam EuDML
Orlik, Sascha On extensions of generalized Steinberg representations. (English) Zbl 1080.22008 J. Algebra 293, No. 2, 611-630 (2005). Reviewer: Martin Grabitz (Berlin) MSC: 22E50 11S37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hausberger, Thomas Uniformization of Laumon-Rapoport-Stuhler varieties and Drinfeld-Carayol conjecture. (Uniformisation des variétés de Laumon-Rapoport-Stuhler et conjecture de Drinfeld-Carayol.) (French) Zbl 1138.11329 Ann. Inst. Fourier 55, No. 4, 1285-1371 (2005). MSC: 11G18 11S37 11G09 14G22 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Álvarez Vázquez, Arturo Generalized theta functions, Drinfeld modules and some arithmetic consequences. (English) Zbl 1064.11042 J. Number Theory 110, No. 2, 279-316 (2005). Reviewer: Cicero Carvalho (Uberlandia) MSC: 11G09 14D20 14K25 × Cite Format Result Cite Review PDF Full Text: DOI
Gardeyn, Francis A Galois criterion for good reduction of \(\tau\)-sheaves. (English) Zbl 1053.11054 J. Number Theory 97, No. 2, 447-471 (2002). MSC: 11G09 × Cite Format Result Cite Review PDF Full Text: DOI
Thakur, Dinesh S. Integrable systems and number theory in finite characteristic. (English) Zbl 0993.11029 Physica D 152-153, 1-8 (2001). Reviewer: Igor Potemine (Toulouse) MSC: 11G09 11R58 37K10 37K20 × Cite Format Result Cite Review PDF Full Text: DOI
Álvarez Vazquez, Arturo Drinfeld moduli schemes and infinite Grassmannians. (English) Zbl 0989.14005 J. Algebra 225, No. 2, 822-835 (2000). MSC: 11G09 14D20 14H70 37K10 37K20 58B25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ngô, Báo Châu Perverse sheaves, base change homomorphism, and fundamental lemma of Jacquet and Ye. (Faisceaux pervers, homomorphisme de changement de base et lemme fondamental de Jacquet et Ye.) (French) Zbl 1002.11046 Ann. Sci. Éc. Norm. Supér. (4) 32, No. 5, 619-679 (1999). MSC: 11F70 22E50 14F43 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Numdam EuDML
Gross, Benedict H.; Gan, Wee Teck Haar measure and the Artin conductor. (English) Zbl 0991.20033 Trans. Am. Math. Soc. 351, No. 4, 1691-1704 (1999). MSC: 20G25 11G09 43A05 × Cite Format Result Cite Review PDF Full Text: DOI