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Research talks;Number Theory

Orders in finite-dimensional algebras over number fi give rise to interesting locally symmetric spaces and algebraic varieties. Hilbert modular varieties or arithmetically defined hyperbolic 3-manifolds, compact ones as well as noncompact ones, are familiar examples. In this talk we discuss various cases related to the general linear group $GL(2)$ over orders in division algebras defined over some number field. Geometry, arithmetic, and the theory of automorphic forms are interwoven in a most fruitful way in this work. Finally we indicate a construction of non-vanishing square-integrable cohomology classes for such arithmetically defined groups. Orders in finite-dimensional algebras over number fi give rise to interesting locally symmetric spaces and algebraic varieties. Hilbert modular varieties or arithmetically defined hyperbolic 3-manifolds, compact ones as well as noncompact ones, are familiar examples. In this talk we discuss various cases related to the general linear group $GL(2)$ over orders in division algebras defined over some number field. Geometry, arithmetic, and the ...

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Documents Critères de recherche : "Lie groups" | enregistrements trouvés : 237

On the general linear group over arithmetic orders and corresponding cohomology groups Schwermer, Joachim | CIRM H Nouveau

Harmonic analysis and representation of semi simple lie groupslectures given at the nato advanced study institute on representations of lie groups and harmonic analysis,held at liege,belgium,sept. 5-11,1977 Cahen, M. ; De Wilde, M. ; Wolf, J. A. | D. Reidel Publishing Company 1977 Nouveau

Analysis on lie groups and homogeneous spaces :expository lectures form c.b.m.s. regional conferenc held at dartmough college#Aug. 1971 Helgason, Sigurdur | American Mathematical Society 1977 Nouveau

Non commutative harmonic analysis and Lie groups :proceedings of the international conference held in Luminy#Juin 21-26 Carmona, J. ; Vergne, M. | Springer-Verlag 1983 Nouveau

Representation theory of Lie groups :proceedings of the srclms research symposium on representations of Lie groups#June 28-July 15 Luke, G. L. | Cambridge University Press 1979 Nouveau

Lectures on harmonic analysis on Lie groups and related topicscolloque franco-japonais d'analyse harmonique sur les groupes de Lie tenu à l'Université Louis PasteurOct. Hirai, T. ; Schiffman, G. | Kinokuniya Co. Ltd. 1982 Nouveau

Non commutative harmonic analysis and Lie groups :actes du colloque d'analyse harmonique non commutative tenu à Luminy#Juin 16-20 Carmona, J. ; Vergne, M. | Springer-Verlag 1981 Nouveau

Manifolds and lie groups :papers in honor of yozo matsushima on his 60th birthdayand a conference in geometry in honor of this professor held at the university of notre dame#May 14-15 Hano, J. ; Morimoto, A. ; Murakami, S. | Birkhäuser 1981 Nouveau

Representations of lie groups and lie algebrassummer school on representations theory,bolyai janos mathematical society,budapest,1971 Kirillov, A. A. | Akademiai Kiado 1985 Nouveau

Non-commutative harmonic analysis and Lie groups :proceedings of the international conference held in Marseille-Luminy#June 24-29 Carmona, J. ; Delorme, P. ; Vergne, M. | Springer-Verlag 1987 Nouveau

Séminaire "Sophus Lie". 2ème année :hyperalgèbres et groups de Lie formels | Faculté des Sciences de Paris;Secretariat Mathematique 1 1957 Nouveau

Indecomposable representations of lie groups and their physical applications :proceedings of a conference on ...#Oct. 3-6 Cantoni, Vittorio | Academic Press 1989 Nouveau

Infinite dimensional lie algebras and groupsproceedings of the conference,held at c.i.r.m.,luminy,marseille,july 4-8,1988 Kac, Victor G. | World Scientific 1989 Nouveau

Groups, combinatorics and geometry :proceedings of the l.M.S. symposium#July 5-15 Liebeck, Martin ; Saxl, Jan | Cambridge University Press 1992 Nouveau

Linear algebraic groups and their representations :conference on linear algebraic groups and their representations#March 25-28 Elman, Richard S. ; Schacher, Murray M. ; Varadarajan, V. S. | American Mathematical Society 1993 Nouveau

Representations of Lie groups :proceedings of a symosium on analysis on homogeneous spaces and representations of Lie groups first session#Sept. 1-3second session#Sept. 4-3 Okamoto, K. ; Oshima, T. | Academic Press 1988 Nouveau

Abelian group theory and related topics :conference on abelian groups#Aug. 1-7 Gobel, Rudiger ; Hill, Paul ; Liebert, Wolfgang | American Mathematical Society 1994 Nouveau

Lie groups, Lie algebras and representation theory Zassenhaus, Hans | Les Presse de l'Université de Montréal 1981 Nouveau

Groups of Lie type and their geometries :conference took place at the lovely 18th century Villa Olmo on the scenic shore of Lake Como#June 14-19 Di Martino, Lino ; Kantor, William M. | Cambridge University Press 1995 Nouveau

Noncompact Lie groups and some of their applicationsNATO Advanced research workshop held in San Antonio, Texas, during the week of January 3-8, 1993 Tanner, Elisabeth A. ; Wilson, Raj | Kluwer Academic Publishers 1994 Nouveau

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Harmonic analysis and representation of semi simple lie groups
lectures given at the nato advanced study institute on representations of lie groups and harmonic analysis,held at liege,belgium,sept. 5-11,1977 Cahen, M. ; De Wilde, M. ; Wolf, J. A. | D. Reidel Publishing Company 1977 Nouveau

Analysis on lie groups and homogeneous spaces :
expository lectures form c.b.m.s. regional conferenc held at dartmough college#Aug. 1971 Helgason, Sigurdur | American Mathematical Society 1977 Nouveau

Non commutative harmonic analysis and Lie groups :
proceedings of the international conference held in Luminy#Juin 21-26 Carmona, J. ; Vergne, M. | Springer-Verlag 1983 Nouveau

Representation theory of Lie groups :
proceedings of the srclms research symposium on representations of Lie groups#June 28-July 15 Luke, G. L. | Cambridge University Press 1979 Nouveau

Lectures on harmonic analysis on Lie groups and related topics
colloque franco-japonais d'analyse harmonique sur les groupes de Lie tenu à l'Université Louis Pasteur
Oct. Hirai, T. ; Schiffman, G. | Kinokuniya Co. Ltd. 1982 Nouveau

Non commutative harmonic analysis and Lie groups :
actes du colloque d'analyse harmonique non commutative tenu à Luminy#Juin 16-20 Carmona, J. ; Vergne, M. | Springer-Verlag 1981 Nouveau

Manifolds and lie groups :
papers in honor of yozo matsushima on his 60th birthdayand a conference in geometry in honor of this professor held at the university of notre dame#May 14-15 Hano, J. ; Morimoto, A. ; Murakami, S. | Birkhäuser 1981 Nouveau

Representations of lie groups and lie algebras
summer school on representations theory,bolyai janos mathematical society,budapest,1971 Kirillov, A. A. | Akademiai Kiado 1985 Nouveau

Non-commutative harmonic analysis and Lie groups :
proceedings of the international conference held in Marseille-Luminy#June 24-29 Carmona, J. ; Delorme, P. ; Vergne, M. | Springer-Verlag 1987 Nouveau

Séminaire "Sophus Lie". 2ème année :
hyperalgèbres et groups de Lie formels | Faculté des Sciences de Paris;Secretariat Mathematique 1 1957 Nouveau

Indecomposable representations of lie groups and their physical applications :
proceedings of a conference on ...#Oct. 3-6 Cantoni, Vittorio | Academic Press 1989 Nouveau

Infinite dimensional lie algebras and groups
proceedings of the conference,held at c.i.r.m.,luminy,marseille,july 4-8,1988 Kac, Victor G. | World Scientific 1989 Nouveau

Groups, combinatorics and geometry :
proceedings of the l.M.S. symposium#July 5-15 Liebeck, Martin ; Saxl, Jan | Cambridge University Press 1992 Nouveau

Linear algebraic groups and their representations :
conference on linear algebraic groups and their representations#March 25-28 Elman, Richard S. ; Schacher, Murray M. ; Varadarajan, V. S. | American Mathematical Society 1993 Nouveau

Representations of Lie groups :
proceedings of a symosium on analysis on homogeneous spaces and representations of Lie groups first session#Sept. 1-3
second session#Sept. 4-3 Okamoto, K. ; Oshima, T. | Academic Press 1988 Nouveau

Abelian group theory and related topics :
conference on abelian groups#Aug. 1-7 Gobel, Rudiger ; Hill, Paul ; Liebert, Wolfgang | American Mathematical Society 1994 Nouveau

Groups of Lie type and their geometries :
conference took place at the lovely 18th century Villa Olmo on the scenic shore of Lake Como#June 14-19 Di Martino, Lino ; Kantor, William M. | Cambridge University Press 1995 Nouveau

Noncompact Lie groups and some of their applications
NATO Advanced research workshop held in San Antonio, Texas, during the week of January 3-8, 1993 Tanner, Elisabeth A. ; Wilson, Raj | Kluwer Academic Publishers 1994 Nouveau