Breuil, Christophe; Ding, Yiwen On a locally analytic local-global compatibility problem. (Sur un problème de compatibilité local-global localement analytique.) (French) Zbl 07753146 Memoirs of the American Mathematical Society 1442. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6547-6/pbk; 978-1-4704-7628-1/ebook). vii, 152 p. (2023). MSC: 22-02 22E50 11F80 11F70 PDFBibTeX XMLCite \textit{C. Breuil} and \textit{Y. Ding}, Sur un problème de compatibilité local-global localement analytique. Providence, RI: American Mathematical Society (AMS) (2023; Zbl 07753146) Full Text: DOI arXiv
Park, Chol; Qian, Zicheng On mod \(p\) local-global compatibility for \(\mathrm{GL}_n(\mathbb{Q}_p)\) in the ordinary case. (English. French summary) Zbl 1522.11049 Mém. Soc. Math. Fr., Nouv. Sér. 173, 1-150 (2022). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11F80 11F33 PDFBibTeX XMLCite \textit{C. Park} and \textit{Z. Qian}, Mém. Soc. Math. Fr., Nouv. Sér. 173, 1--150 (2022; Zbl 1522.11049) 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 PDFBibTeX XMLCite \textit{L. Pan}, J. Am. Math. Soc. 35, No. 4, 1031--1169 (2022; Zbl 1502.11062) Full Text: DOI arXiv
Mochizuki, Shinichi Inter-universal Teichmüller theory. IV: Log-volume computations and set-theoretic foundations. (English) Zbl 1465.14005 Publ. Res. Inst. Math. Sci. 57, No. 1-2, 627-723 (2021). Reviewer: Peter Scholze (Bonn) MSC: 14-02 14H25 14H30 14G40 11Gxx PDFBibTeX XMLCite \textit{S. Mochizuki}, Publ. Res. Inst. Math. Sci. 57, No. 1--2, 627--723 (2021; Zbl 1465.14005) Full Text: DOI Backlinks: MO
Breuil, Christophe; Herzig, Florian Towards the finite slope part for \(\mathrm{GL}_n\). (English) Zbl 1476.11086 Int. Math. Res. Not. 2020, No. 24, 10495-10552 (2020). Reviewer: Jack Shotton (Durham) MSC: 11F80 11F70 22E50 PDFBibTeX XMLCite \textit{C. Breuil} and \textit{F. Herzig}, Int. Math. Res. Not. 2020, No. 24, 10495--10552 (2020; Zbl 1476.11086) Full Text: DOI arXiv
Allen, Patrick B.; Newton, James Monodromy for some rank two Galois representations over CM fields. (English) Zbl 1472.11165 Doc. Math. 25, 2487-2506 (2020). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11F80 11R39 PDFBibTeX XMLCite \textit{P. B. Allen} and \textit{J. Newton}, Doc. Math. 25, 2487--2506 (2020; Zbl 1472.11165) Full Text: DOI arXiv
Breuil, Christophe; Ding, Yiwen Higher \(\mathcal{L} \)-invariants for \(\operatorname{GL}_3 (\mathbb{Q}_p)\) and local-global compatibility. (English) Zbl 1469.11454 Camb. J. Math. 8, No. 4, 775-951 (2020). MSC: 11S23 22E35 22E50 PDFBibTeX XMLCite \textit{C. Breuil} and \textit{Y. Ding}, Camb. J. Math. 8, No. 4, 775--951 (2020; Zbl 1469.11454) Full Text: DOI arXiv
Hoshi, Yuichiro Mono-anabelian reconstruction of number fields. (English) Zbl 1431.11125 RIMS Kôkyûroku Bessatsu B76, 1-77 (2019). MSC: 11R32 11G32 11G45 PDFBibTeX XMLCite \textit{Y. Hoshi}, RIMS Kôkyûroku Bessatsu B76, 1--77 (2019; Zbl 1431.11125)
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 PDFBibTeX XMLCite \textit{P. Scholze}, Ann. Sci. Éc. Norm. Supér. (4) 51, No. 4, 811--863 (2018; Zbl 1419.14031) Full Text: arXiv Link
Le, Daniel; Morra, Stefano; Park, Chol On \(\mod p\) local-global compatibility for \(\mathrm{GL}_3(\mathbb{Q}_p)\) in the non-ordinary case. (English) Zbl 1444.11079 Proc. Lond. Math. Soc. (3) 117, No. 4, 790-848 (2018). MSC: 11F33 11F80 11S25 PDFBibTeX XMLCite \textit{D. Le} et al., Proc. Lond. Math. Soc. (3) 117, No. 4, 790--848 (2018; Zbl 1444.11079) Full Text: DOI
Ding, Yiwen \(\mathcal{L}\)-invariants, partially de Rham families, and local-global compatibility. (Invariants \(\mathcal{L}\), familles partiellement de de Rham, et compatibilité local-global.) (English. French summary) Zbl 1433.11131 Ann. Inst. Fourier 67, No. 4, 1457-1519 (2017). MSC: 11S37 11S80 22D12 PDFBibTeX XMLCite \textit{Y. Ding}, Ann. Inst. Fourier 67, No. 4, 1457--1519 (2017; Zbl 1433.11131) Full Text: DOI arXiv
Ding, Yiwen \(p\)-adic modular forms over unitary Shimura curves and local-global compatibility. (Formes modulaires \(p\)-adiques sur les courbes de Shimura unitaires et compatibilité local-global.) (French. English summary) Zbl 1403.14001 Mém. Soc. Math. Fr., Nouv. Sér. 155, 1-242 (2017). Reviewer: Matteo Longo (Padova) MSC: 14-02 11-02 14G35 11F85 11F41 22E10 22E50 PDFBibTeX XMLCite \textit{Y. Ding}, Mém. Soc. Math. Fr., Nouv. Sér. 155, 1--242 (2017; Zbl 1403.14001) Full Text: DOI
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 1461.11157 Compos. Math. 154, No. 3, 503-548 (2018). Reviewer: Yuval Z. Flicker (Ariel) MSC: 11S37 11F70 22E50 PDFBibTeX XMLCite \textit{A. Caraiani} et al., Compos. Math. 154, No. 3, 503--548 (2017; Zbl 1461.11157) Full Text: DOI arXiv
Morra, Stefano On the automorphic atoms of length 2 of \(\mathrm{GL}_2(\mathbb{Q}_p)\). (Sur les atomes automorphes de longueur 2 de \(\mathbf{GL}_2(\mathbf{Q}_p)\).) (French. English summary) Zbl 1372.22018 Doc. Math. 22, 777-823 (2017). Reviewer: J. G. M. Mars (Utrecht) MSC: 22E50 11F85 PDFBibTeX XMLCite \textit{S. Morra}, Doc. Math. 22, 777--823 (2017; Zbl 1372.22018) Full Text: EMIS
Harris, Michael; Lan, Kai-Wen; Taylor, Richard; Thorne, Jack On the rigid cohomology of certain Shimura varieties. (English) Zbl 1410.11040 Res. Math. Sci. 3, Paper No. 37, 308 p. (2016). MSC: 11F70 11G18 14G35 PDFBibTeX XMLCite \textit{M. Harris} et al., Res. Math. Sci. 3, Paper No. 37, 308 p. (2016; Zbl 1410.11040) Full Text: DOI arXiv Link
Gao, Hui; Sorensen, Claus Locally algebraic vectors in the Breuil-Herzig ordinary part. (English) Zbl 1404.11074 Manuscr. Math. 151, No. 1-2, 113-131 (2016). MSC: 11F80 11F33 22E50 PDFBibTeX XMLCite \textit{H. Gao} and \textit{C. Sorensen}, Manuscr. Math. 151, No. 1--2, 113--131 (2016; Zbl 1404.11074) Full Text: DOI
Caraiani, Ana; Le Hung, Bao V. On the image of complex conjugation in certain Galois representations. (English) Zbl 1404.11073 Compos. Math. 152, No. 7, 1476-1488 (2016). MSC: 11F80 PDFBibTeX XMLCite \textit{A. Caraiani} and \textit{B. V. Le Hung}, Compos. Math. 152, No. 7, 1476--1488 (2016; Zbl 1404.11073) Full Text: DOI arXiv
Ding, Yiwen \(\mathcal{L}\)-invariants and local-global compatibility for the group \(\mathrm{GL}_2/F\). (English) Zbl 1376.11082 Forum Math. Sigma 4, Paper No. e13, 49 p. (2016). Reviewer: Laurent Berger (Lyon) MSC: 11S37 11F80 11F85 14F30 11G18 11F41 PDFBibTeX XMLCite \textit{Y. Ding}, Forum Math. Sigma 4, Paper No. e13, 49 p. (2016; Zbl 1376.11082) Full Text: DOI arXiv
Luu, Martin Deformation theory and local-global compatibility of Langlands correspondences. (English) Zbl 1396.11086 Mem. Am. Math. Soc. 1123, vii, 99 p. (2015). MSC: 11F80 11F55 PDFBibTeX XMLCite \textit{M. Luu}, Deformation theory and local-global compatibility of Langlands correspondences. Providence, RI: American Mathematical Society (AMS) (2015; Zbl 1396.11086) Full Text: DOI
Shin, Sug Woo Supercuspidal part of the \(\mod l\) cohomology of \(\mathrm{GU}(1,n-1)\)-Shimura varieties. (English) Zbl 1330.11042 J. Reine Angew. Math. 705, 1-21 (2015). Reviewer: Przemyslaw Chojecki (Oxford) MSC: 11G18 14F30 PDFBibTeX XMLCite \textit{S. W. Shin}, J. Reine Angew. Math. 705, 1--21 (2015; Zbl 1330.11042) Full Text: DOI
Breuil, Christophe; Herzig, Florian Ordinary representations of \(G(\mathbb{Q}_p)\) and fundamental algebraic representations. (English) Zbl 1321.22019 Duke Math. J. 164, No. 7, 1271-1352 (2015). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 22E50 11F80 11F70 PDFBibTeX XMLCite \textit{C. Breuil} and \textit{F. Herzig}, Duke Math. J. 164, No. 7, 1271--1352 (2015; Zbl 1321.22019) Full Text: DOI arXiv Euclid
Newton, James Towards local-global compatibility for Hilbert modular forms of low weight. (English) Zbl 1369.11035 Algebra Number Theory 9, No. 4, 957-980 (2015). MSC: 11F41 11F33 11F80 PDFBibTeX XMLCite \textit{J. Newton}, Algebra Number Theory 9, No. 4, 957--980 (2015; Zbl 1369.11035) Full Text: DOI arXiv
Caraiani, Ana Monodromy and local-global compatibility for \(l=p\). (English) Zbl 1310.11061 Algebra Number Theory 8, No. 7, 1597-1646 (2014). Reviewer: Davide Lombardo (Orsay) MSC: 11F80 11G18 11R39 PDFBibTeX XMLCite \textit{A. Caraiani}, Algebra Number Theory 8, No. 7, 1597--1646 (2014; Zbl 1310.11061) Full Text: DOI arXiv
Barnet-Lamb, Thomas; Gee, Toby; Geraghty, David; Taylor, Richard Local-global compatibility for \(l=p\). II. (Compatibilité entre les correspondances de Langlands locales aux places divisant \(l=p\). II.) (English. French summary) Zbl 1395.11081 Ann. Sci. Éc. Norm. Supér. (4) 47, No. 1, 165-179 (2014). MSC: 11F70 11R39 22Exx PDFBibTeX XMLCite \textit{T. Barnet-Lamb} et al., Ann. Sci. Éc. Norm. Supér. (4) 47, No. 1, 165--179 (2014; Zbl 1395.11081) Full Text: DOI arXiv Link
Breuil, Christophe [Dembélé, Lassina] On a problem of local-global compatibility modulo \(p\) for \(\mathrm{GL}_2\) (with an Appendix of Lassina Dembélé). (Sur un problème de compatibilité local-global modulo \(p\) pour \(\mathrm{GL}_2\) (avec un appendice par Lassina Dembélé).) (French) Zbl 1314.11036 J. Reine Angew. Math. 692, 1-76 (2014). Reviewer: Thong Nguyen Quang Do (Besançon) MSC: 11F70 22E50 22E57 PDFBibTeX XMLCite \textit{C. Breuil}, J. Reine Angew. Math. 692, 1--76 (2014; Zbl 1314.11036) Full Text: DOI
Breuil, Christophe The \(p\)-adic Langlands correspondence, the local-global compatibility and applications. (Correspondance de Langlands \(p\)-adique, compatibilité local-global et applications.) (French) Zbl 1280.14006 Séminaire Bourbaki. Volume 2010/2011. Exposés 1027–1042. Avec table par noms d’auteurs de 1948/49 à 2009/10. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-351-5/pbk). Astérisque 348, 119-147 (2012). Reviewer: Roberto Dvornicich (Pisa) MSC: 14G20 11S37 11F70 22E50 22E57 PDFBibTeX XMLCite \textit{C. Breuil}, Astérisque 348, 119--147 (2012; Zbl 1280.14006)
Maalouf, R. N.; Raji, W. Meromorphic functions compatible with homomorphisms of actions on \(\mathbb C\). (English) Zbl 1348.30014 Commun. Math. Anal. 13, No. 2, 116-130 (2012). MSC: 30D30 11F11 PDFBibTeX XMLCite \textit{R. N. Maalouf} and \textit{W. Raji}, Commun. Math. Anal. 13, No. 2, 116--130 (2012; Zbl 1348.30014) Full Text: Euclid
Barnet-Lamb, Thomas; Gee, Toby; Geraghty, David; Taylor, Richard Local-global compatibility for \(l=p\). I. (English. French summary) Zbl 1259.11057 Ann. Fac. Sci. Toulouse, Math. (6) 21, No. 1, 57-92 (2012). Reviewer: Gabor Wiese (Luxembourg) MSC: 11F80 11F70 11R39 22E50 22E55 PDFBibTeX XMLCite \textit{T. Barnet-Lamb} et al., Ann. Fac. Sci. Toulouse, Math. (6) 21, No. 1, 57--92 (2012; Zbl 1259.11057) Full Text: DOI arXiv
Ishkhanov, V. V.; Lur’e, B. B. The embedding problem with non-abelian kernel for local fields. (English. Russian original) Zbl 1208.11127 J. Math. Sci., New York 161, No. 4, 553-557 (2009); translation from Zap. Nauchn. Semin. POMI 365, 172-181 (2009). Reviewer: Ivan D. Chipchakov (Sofia) MSC: 11S20 12F10 PDFBibTeX XMLCite \textit{V. V. Ishkhanov} and \textit{B. B. Lur'e}, J. Math. Sci., New York 161, No. 4, 553--557 (2009; Zbl 1208.11127); translation from Zap. Nauchn. Semin. POMI 365, 172--181 (2009) Full Text: DOI Backlinks: MO
Young, Adam; Yung, Moti A key recovery system as secure as factoring. (English) Zbl 1196.94070 Okamoto, Tatsuaki (ed.), Topics in cryptology – CT-RSA 2004. The cryptographers’ track at the RSA conference 2004, San Francisco, CA, USA, February 23–27, 2004. Proceedings. Berlin: Springer (ISBN 3-540-20996-4/pbk). Lecture Notes in Computer Science 2964, 129-142 (2004). MSC: 94A60 11T71 PDFBibTeX XMLCite \textit{A. Young} and \textit{M. Yung}, Lect. Notes Comput. Sci. 2964, 129--142 (2004; Zbl 1196.94070) Full Text: DOI
Bosma, Wieb; Cannon, John; Steel, Allan Lattices of compatibly embedded finite fields. (English) Zbl 0895.11055 J. Symb. Comput. 24, No. 3-4, 351-369 (1997). Reviewer: G.L.Ebert (Newark/Delaware) MSC: 11Y16 68W30 11T99 12Y05 12E20 PDFBibTeX XMLCite \textit{W. Bosma} et al., J. Symb. Comput. 24, No. 3--4, 351--369 (1997; Zbl 0895.11055) Full Text: DOI Link
Khare, Chandrashekhar Compatible systems of \(\text{mod } p\) Galois representations. (English. Abridged French version) Zbl 0868.11052 C. R. Acad. Sci., Paris, Sér. I 323, No. 2, 117-120 (1996). Reviewer: M.Larsen (Philadelphia) MSC: 11R32 11R37 PDFBibTeX XMLCite \textit{C. Khare}, C. R. Acad. Sci., Paris, Sér. I 323, No. 2, 117--120 (1996; Zbl 0868.11052)
Powers, Victoria Valuations and higher level orders in commutative rings. (English) Zbl 0845.11016 J. Algebra 172, No. 2, 255-272 (1995). Reviewer: A.Tschimmel-Faltings (Bonn) MSC: 11E81 13A18 11R54 PDFBibTeX XMLCite \textit{V. Powers}, J. Algebra 172, No. 2, 255--272 (1995; Zbl 0845.11016) Full Text: DOI
Ishkhanov, V. V. Imbedding problem with non-Abelian kernel of order \(p^ 4\). (English. Russian original) Zbl 0732.12003 Proc. Steklov Inst. Math. 183, 134-140 (1991); translation from Tr. Mat. Inst. Steklova 183, 116-121 (1990). Reviewer: H.Koch (Berlin) MSC: 12F10 11R32 PDFBibTeX XMLCite \textit{V. V. Ishkhanov}, Proc. Steklov Inst. Math. 183, 134--140 (1991; Zbl 0732.12003); translation from Tr. Mat. Inst. Steklova 183, 116--121 (1990)
Harman, Glyn Simultaneous Diophantine approximation with primes. (English) Zbl 0687.10025 J. Lond. Math. Soc., II. Ser. 39, No. 3, 405-413 (1989). Reviewer: A.Balog MSC: 11J70 11L03 PDFBibTeX XMLCite \textit{G. Harman}, J. Lond. Math. Soc., II. Ser. 39, No. 3, 405--413 (1989; Zbl 0687.10025) Full Text: DOI