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Found 127 Documents (Results 1–100)

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Arthur, James
Functoriality and the trace formula. (English) Zbl 07262359
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) (ISBN 978-3-319-95230-7/pbk; 978-3-319-95231-4/ebook; 978-2-85629-886-2/pbk). Lecture Notes in Mathematics 2221, 319-339 (2018).
MSC:  11F72 11F70
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\textit{J. Arthur}, Lect. Notes Math. 2221, 319--339 (2018; Zbl 07262359)
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Christie, Aaron; Mezo, Paul
Twisted endoscopy from a sheaf-theoretic perspective. (English) Zbl 07085242
Müller, Werner (ed.) et al., Geometric aspects of the trace formula. Proceedings of the Simons symposium, Schloss Elmau, Germany, April 10–16, 2016. Cham: Springer (ISBN 978-3-319-94832-4/hbk; 978-3-319-94833-1/ebook). Simons Symposia, 121-161 (2018).
MSC:  11F70 22E50
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\textit{A. Christie} and \textit{P. Mezo}, in: Geometric aspects of the trace formula. Proceedings of the Simons symposium, Schloss Elmau, Germany, April 10--16, 2016. Cham: Springer. 121--161 (2018; Zbl 07085242)
Full Text: DOI arXiv
Arthur, James
Functoriality and the trace formula. (English) Zbl 07085239
Müller, Werner (ed.) et al., Geometric aspects of the trace formula. Proceedings of the Simons symposium, Schloss Elmau, Germany, April 10–16, 2016. Cham: Springer (ISBN 978-3-319-94832-4/hbk; 978-3-319-94833-1/ebook). Simons Symposia, 1-21 (2018).
MSC:  11F70 11F72
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\textit{J. Arthur}, in: Geometric aspects of the trace formula. Proceedings of the Simons symposium, Schloss Elmau, Germany, April 10--16, 2016. Cham: Springer. 1--21 (2018; Zbl 07085239)
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Lemaire, Bertrand; Mœglin, Colette; Waldspurger, Jean-Loup
The fundamental lemma for twisted endoscopy: reduction to the unit elements. (Le lemme fondamental pour l’endoscopie tordue : réduction aux éléments unités.) (French. English summary) Zbl 1402.22019
Ann. Sci. Éc. Norm. Supér. (4) 51, No. 2, 281-369 (2018).
Reviewer: Andrzej Dąbrowski (Szczecin)
MSC:  22E50
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\textit{B. Lemaire} et al., Ann. Sci. Éc. Norm. Supér. (4) 51, No. 2, 281--369 (2018; Zbl 1402.22019)
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Lemaire, Bertrand; Waldspurger, Jean-Loup
The fundamental lemma for the twisted endoscopy: the case where the nonramified elliptic endoscopic group is a torus. (Le lemme fondamental pour l’endoscopie tordue: le cas où le groupe endoscopique elliptique non ramifié est un tore.) (French. English summary) Zbl 1414.22021
Cogdell, Jim (ed.) et al., Representation theory, number theory, and invariant theory. In honor of Roger Howe on the occasion of his 70th birthday, Yale University, New Haven, CT, USA, June 1–5, 2015. Cham: Birkhäuser/Springer. Prog. Math. 323, 399-468 (2017).
Reviewer: Andrzej Dąbrowski (Szczecin)
MSC:  22E50 11F70
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\textit{B. Lemaire} and \textit{J.-L. Waldspurger}, Prog. Math. 323, 399--468 (2017; Zbl 1414.22021)
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Arthur, James
Problems beyond endoscopy. (English) Zbl 1433.11059
Cogdell, Jim (ed.) et al., Representation theory, number theory, and invariant theory. In honor of Roger Howe on the occasion of his 70th birthday, Yale University, New Haven, CT, USA, June 1–5, 2015. Cham: Birkhäuser/Springer. Prog. Math. 323, 23-45 (2017).
MSC:  11F70 11F66 22E50
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\textit{J. Arthur}, Prog. Math. 323, 23--45 (2017; Zbl 1433.11059)
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Marshall, Simon
Endoscopy and cohomology of a quasi-split \(U(4)\). (English) Zbl 1408.11047
Müller, Werner (ed.) et al., Families of automorphic forms and the trace formula. Proceedings of the Simons symposium, Puerto Rico, January 26 – February 1, 2014. Cham: Springer. Simons Symp., 297-325 (2016).
MSC:  11F70 22E30 11F75
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\textit{S. Marshall}, in: Families of automorphic forms and the trace formula. Proceedings of the Simons symposium, Puerto Rico, January 26 -- February 1, 2014. Cham: Springer. 297--325 (2016; Zbl 1408.11047)
Full Text: DOI arXiv
Huang, Jing-Song
Dirac cohomology, elliptic representations and endoscopy. (English) Zbl 1344.22005
Nevins, Monica (ed.) et al., Representations of reductive groups. In honor of the 60th birthday of David A. Vogan, Jr. Proceedings of the conference, MIT, Cambridge, MA, USA, May 19–23, 2014. Cham: Birkhäuser/Springer (ISBN 978-3-319-23442-7/hbk; 978-3-319-23443-4/ebook). Progress in Mathematics 312, 241-276 (2015).
Reviewer: Salah Mehdi (Metz)
MSC:  22E46 22E47
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\textit{J.-S. Huang}, Prog. Math. 312, 241--276 (2015; Zbl 1344.22005)
Full Text: DOI arXiv
Waldspurger, J.-L.
Stabilization of the geometric part of the twisted trace formula. (Stabilisation de la partie géométrique de la formule des traces tordue.) (French. English summary) Zbl 1373.11042
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). 487-504 (2014).
MSC:  11F72 20G35 22E30 22E35
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\textit{J. L. Waldspurger}, in: Proceedings of the International Congress of Mathematicians (ICM 2014), Seoul, Korea, August 13--21, 2014. Vol. II: Invited lectures. Seoul: KM Kyung Moon Sa. 487--504 (2014; Zbl 1373.11042)
Jiang, Dihua
Automorphic integral transforms for classical groups I: endoscopy correspondences. (English) Zbl 1315.11037
Cogdell, James W. (ed.) et al., Automorphic forms and related geometry: assessing the legacy of I. I. Piatetski-Shapiro. Proceedings of the conference, Yale University, New Haven, CT, USA, April 23–27, 2012. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-9394-4/pbk). Contemporary Mathematics 614, 179-242 (2014).
Reviewer: Zhengyu Mao (Newark)
MSC:  11F70 22E50 11F85 22E55
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\textit{D. Jiang}, Contemp. Math. 614, 179--242 (2014; Zbl 1315.11037)
Full Text: arXiv
Sakellaridis, Yiannis
Beyond endoscopy for the relative trace formula. I: Local theory. (English) Zbl 1315.11038
Prasad, D. (ed.) et al., Automorphic representations and \(L\)-functions. Proceedings of the international colloquium, Mumbai, India, January 3–11, 2012. New Delhi: Hindustan Book Agency; Mumbai: Tata Institute of Fundamental Research (ISBN 978-93-80250-49-6/hbk). Studies in Mathematics. Tata Institute of Fundamental Research 22, 521-590 (2013).
Reviewer: Zhengyu Mao (Newark)
MSC:  11F70 11F30 11F37
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\textit{Y. Sakellaridis}, in: Automorphic representations and \(L\)-functions. Proceedings of the international colloquium, Mumbai, India, January 3--11, 2012. New Delhi: Hindustan Book Agency; Mumbai: Tata Institute of Fundamental Research. 521--590 (2013; Zbl 1315.11038)
Full Text: arXiv
Arthur, James
The endoscopic classification of representations. (English) Zbl 1297.22023
Prasad, D. (ed.) et al., Automorphic representations and \(L\)-functions. Proceedings of the international colloquium, Mumbai, India, January 3–11, 2012. New Delhi: Hindustan Book Agency; Mumbai: Tata Institute of Fundamental Research (ISBN 978-93-80250-49-6/hbk). Studies in Mathematics. Tata Institute of Fundamental Research 22, 1-22 (2013).
Reviewer: Balasubramanian Sury (Bangalore)
MSC:  22E55 11F66 11R37 20G25 22E50
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\textit{J. Arthur}, in: Automorphic representations and \(L\)-functions. Proceedings of the international colloquium, Mumbai, India, January 3--11, 2012. New Delhi: Hindustan Book Agency; Mumbai: Tata Institute of Fundamental Research. 1--22 (2013; Zbl 1297.22023)
Arthur, James
Classifying automorphic representations. (English) Zbl 1318.11069
Jerison, David (ed.) et al., Current developments in mathematics 2012. Papers based on selected lectures given at the current development mathematics conference, Harvard University, Cambridge, MA, USA, November 2012. Somerville, MA: International Press (ISBN 978-1-57146-240-4/pbk). 1-58 (2013).
Reviewer: Laure Blasco (Paris)
MSC:  11F70 11F66 22E55 22E50
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\textit{J. Arthur}, in: Current developments in mathematics 2012. Papers based on selected lectures given at the current development mathematics conference, Harvard University, Cambridge, MA, USA, November 2012. Somerville, MA: International Press. 1--58 (2013; Zbl 1318.11069)
Ngô, Bao Châu
Endoscopy theory of automorphic forms. (English) Zbl 1251.11036
Bhatia, Rajendra (ed.) et al., Proceedings of the international congress of mathematicians (ICM 2010), Hyderabad, India, August 19–27, 2010. Vol. I: Plenary lectures and ceremonies. Hackensack, NJ: World Scientific; New Delhi: Hindustan Book Agency (ISBN 978-981-4324-30-4/set; 978-81-85931-08-3/hbk; 978-981-4324-31-1/hbk; 978-981-4324-35-9/ebook). 210-237 (2011).
Reviewer: Wen-Wei Li (Beijing)
MSC:  11F70 11F72 14K10
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\textit{B. C. Ngô}, in: Proceedings of the international congress of mathematicians (ICM 2010), Hyderabad, India, August 19--27, 2010. Vol. I: Plenary lectures and ceremonies. Hackensack, NJ: World Scientific; New Delhi: Hindustan Book Agency. 210--237 (2011; Zbl 1251.11036)
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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
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\textit{S. Gelbart}, Clay Math. Proc. 13, 1--18 (2011; Zbl 1288.11047)
Clozel, Laurent (ed.); Harris, Michael (ed.); Labesse, Jean-Pierre (ed.); Ngô, Bao-Châu (ed.)
Stabilization of the trace formula, Shimura varieties, and arithmetic applications. Volume 1: On the stabilization of the trace formula. (English) Zbl 1255.11027
Somerville, MA: International Press (ISBN 978-1-57146-227-5/pbk). xiv, 527 p. (2011).
Reviewer: J. G. M. Mars (Utrecht)
MSC:  11F72 11F70 22E50 11-06 22-06 00B15
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\textit{L. Clozel} (ed.) et al., Stabilization of the trace formula, Shimura varieties, and arithmetic applications. Volume 1: On the stabilization of the trace formula. Somerville, MA: International Press (2011; Zbl 1255.11027)
Shelstad, D.
Tempered endoscopy for real groups. II: Spectral transfer factors. (English) Zbl 1198.22008
Ji, Lizhen (ed.) et al., Automorphic forms and the Langlands program. Selected papers of the conference on Langlands and geometric Langlands program, Guangzhou, China, June 18–21, 2007. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-141-4/pbk). Advanced Lectures in Mathematics (ALM) 9, 236-276 (2010).
Reviewer: Volodymyr Mazorchuk (Uppsala)
MSC:  22E45 22E50
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\textit{D. Shelstad}, in: Automorphic forms and the Langlands program. Selected papers of the conference on Langlands and geometric Langlands program, Guangzhou, China, June 18--21, 2007. Somerville, MA: International Press; Beijing: Higher Education Press. 236--276 (2010; Zbl 1198.22008)
Shelstad, D.
Tempered endoscopy for real groups. I: Geometric transfer with canonical factors. (English) Zbl 1157.22008
Arthur, James (ed.) et al., Representation theory of real reductive Lie groups. AMS-IMS-SIAM joint summer research conference, Snowbird, UT, USA, June 4–8, 2006. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4366-6/pbk). Contemporary Mathematics 472, 215-246 (2008).
Reviewer: Volodymyr Mazorchuk (Uppsala)
MSC:  22E47 22E15
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\textit{D. Shelstad}, Contemp. Math. 472, 215--246 (2008; Zbl 1157.22008)
Dat, Jean-François
Fundamental lemma and endoscopy, a geometric approach (after Gérard Laumon and Ngô Bao Châu). (Lemme fondamental et endoscopie, une approche géométrique [d’après Gérard Laumon et Ngô Bao Châu].) (French) Zbl 1175.22013
Séminaire Bourbaki. Volume 2004/2005. Exposés 938–951. Paris: Société Mathématique de France (ISBN 978-2-85629-224-2/pbk). Astérisque 307, 71-112, Exp. No. 940 (2006).
MSC:  22E55 11F72 11R39 14D20
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\textit{J.-F. Dat}, Astérisque 307, 71--112, Exp. No. 940 (2006; Zbl 1175.22013)
Ngô, Bao-Châu
Hitchin fibration and the endoscopic structure of the trace formula. (Fibration de Hitchin et structure endoscopique de la formule des traces.) (French) Zbl 1096.14029
Sanz-Solé, Marta (ed.) et al., Proceedings of the international congress of mathematicians (ICM), Madrid, Spain, August 22–30, 2006. Volume II: Invited lectures. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-022-7/hbk). 1213-1225 (2006).
MSC:  14H60 11F72 22E35
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\textit{B.-C. Ngô}, in: Proceedings of the international congress of mathematicians (ICM), Madrid, Spain, August 22--30, 2006. Volume II: Invited lectures. Zürich: European Mathematical Society (EMS). 1213--1225 (2006; Zbl 1096.14029)
Laumon, Gérard
Geometric aspects of the fundamental lemma of Langlands-Shelstad. (Aspects géométriques du Lemme Fondamental de Langlands-Shelstad.) (French) Zbl 1097.14027
Sanz-Solé, Marta (ed.) et al., Proceedings of the international congress of mathematicians (ICM), Madrid, Spain, August 22–30, 2006. Volume II: Invited lectures. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-022-7/hbk). 401-419 (2006).
MSC:  14H60 11F72 22E35
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\textit{G. Laumon}, in: Proceedings of the international congress of mathematicians (ICM), Madrid, Spain, August 22--30, 2006. Volume II: Invited lectures. Zürich: European Mathematical Society (EMS). 401--419 (2006; Zbl 1097.14027)
Arthur, James
An introduction to the trace formula. (English) Zbl 1152.11021
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, 1-263 (2005).
Reviewer: Salah Mehdi (Nanterre)
MSC:  11F72 11-02
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\textit{J. Arthur}, Clay Math. Proc. 4, 1--263 (2005; Zbl 1152.11021)
Whitehouse, David
The twisted weighted fundamental lemma for the transfer of automorphic forms from GSp(4) to GL(4). (English) Zbl 1097.11025
Tilouine, Jacques (ed.) et al., Automorphic forms (II). The case of the group \(\text{GSp}(4)\). Paris: Société Mathématique de France (SMF) (ISBN 2-85629-184-8/pbk). Astérisque 302, 291-436 (2005).
Reviewer: J. G. M. Mars (Utrecht)
MSC:  11F70 22E35 11F72
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\textit{D. Whitehouse}, Astérisque 302, 291--436 (2005; Zbl 1097.11025)
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