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We consider "higher dimensional Teichmüller discs", by which we mean complex submanifolds of Teichmüller space that contain the Teichmüller disc joining any two of its points. We prove results in the higher dimensional setting that are opposite to the one dimensional behavior: every "higher dimensional Teichmüller disc" covers a "higher dimensional Teichmüller curve" and there are only finitely many "higher dimensional Teichmüller curves" in each moduli space. The proofs use recent results in Teichmüller dynamics, especially joint work with Eskin and Filip on the Kontsevich-Zorich cocycle. Joint work with McMullen and Mukamel as well as Eskin, McMullen and Mukamel shows that exotic examples of "higher dimensional Teichmüller discs" do exist. We consider "higher dimensional Teichmüller discs", by which we mean complex submanifolds of Teichmüller space that contain the Teichmüller disc joining any two of its points. We prove results in the higher dimensional setting that are opposite to the one dimensional behavior: every "higher dimensional Teichmüller disc" covers a "higher dimensional Teichmüller curve" and there are only finitely many "higher dimensional Teichmüller curves" in ...

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Documents 32G15 | enregistrements trouvés : 91

Totally geodesic submanifolds of Teichmüller space and moduli space Wright, Alexander | CIRM H Nouveau

Wall-crossing for Donaldson-Thomas invariants Bridgeland, Tom | CIRM H Nouveau

Kleinian groups and related topics :proceedings of the workshop held at oaxtepec#Aug. 10-14 Gallo, D. M. ; Porter, R. M. | Springer-Verlag 1983 Nouveau

Séminaire de théorie spectrale et géométrie. Vol. 5 :année 1986-87 | Institut Fourier;Université de Grenoble I 1987 Nouveau

Prospects in complex geometry :proceedings of the 25th taniguchi international symposium held in katata, and the conference held in kyoto#July 31 - Aug. 9 Noguchi, J. ; Ohsawa, T. | Springer-Verlag 1991 Nouveau

Riemann surface and related topicsproceedings of the 1978 Stony Brook conference held at the State University of New YorkJune 5-9 Kra, Irwin ; Maskit, Bernard | Princeton University Press 1981 Nouveau

Discrete groups and automorphic functionsproceedings of an instructional conference on...held at University of CambridgeJuley 28 - Aug. 15 Harvey, W.J. | Academic Press 1977 Nouveau

Global geometry and mathematical physicslecture given at the 2nd session of the centro internazionale matematico estivo (C.I.M.E.) held at Montecatini Terme ,Italy, July 4-12, 1988 Francaviglia, M. ; Gherardelli, F. | Springer-Verlag 1990 Nouveau

Deformations of mathematical structurescomplex analysis with physical applications Selected papers from the seminar on deformations, Lodz-Lublin, 1985/ 87 Lawrynowicz, Julian | Kluwer Academic Publishers 1989 Nouveau

Séminaire de théorie spectrale et géométrie. Vol. 10 :année 1991-1992 | Université de Grenoble I;Université de Savoie 1992 Nouveau

A crash course on kleinian groupslectures given at a special session at the january 1974 meeting of the AMS Bers, Lipman ; Kra, Irwin | Springer-Verlag 1974 Nouveau

Proceedings of the romanian-finnish seminar on Teichmüller spaces and quasiconformal mappingsvolume dedicated to the memory of E. Lindelöf and S. Stoïlow Cazacu, Cabiria Andreian | Academy of the Socialist Republic of Romania 1971 Nouveau

Advances in the theory of Riemann surfacesproceedings of the 1969 Stony Brook conference Ahlfors, Lars Valerian ; Bers, Lipman ; Farkas, Hershel M. | Princeton University Press;University Of Tokyo Press 1971 Nouveau

Topology and Teichmüller spaces37th Taniguchi symposium on ...July 24-28 Kojima, Sadayoshi ; Matsumoto, Yukio ; Saito, Kyoji ; Seppälä, Mika | World Scientific 1996 Nouveau

In the tradition of Ahlfors and Bers :proceedings of the first Ahlfors-Bers colloquium#Nov. 6-8 Kra, Irwin ; Maskit, Bernard | American Mathematical Society 2000 Nouveau

Value distribution theory and complex dynamics :proceedings of the special session on ... held at the first joint international meeting of the AMS and Hong Kong Mathematical Society#Dec. 13-16 Cherry, William ; Yang, Chung-Chung | American Mathematical Society 2002 Nouveau

In the tradition of Ahlfors and Bers III :the Ahlfors-Bers colloquium held at University of Connecticut#Oct. 18-21 Abikoff, William ; Haas, Andrew | American Mathematical Society 2004 Nouveau

Séminaire Bourbaki. Vol. 2003/2004 :exposés 924-937 | Société Mathématique de France 1998 Nouveau

Séminaire Bourbaki. Vol. 1987/88 :exposés 686-699 | Société Mathématique de France 1988 Nouveau

In the tradition of Ahlfors-Bers, IV :Ahlfors-Bers colloquium#May 19-22 Canary, Dick ; Gilman, Jane ; Heinonen, Juha ; Masur, Howard | Amercian Mathematical Society 2007 Nouveau

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Kleinian groups and related topics :
proceedings of the workshop held at oaxtepec#Aug. 10-14 Gallo, D. M. ; Porter, R. M. | Springer-Verlag 1983 Nouveau

Séminaire de théorie spectrale et géométrie. Vol. 5 :
année 1986-87 | Institut Fourier;Université de Grenoble I 1987 Nouveau

Prospects in complex geometry :
proceedings of the 25th taniguchi international symposium held in katata, and the conference held in kyoto#July 31 - Aug. 9 Noguchi, J. ; Ohsawa, T. | Springer-Verlag 1991 Nouveau

Riemann surface and related topics
proceedings of the 1978 Stony Brook conference held at the State University of New York
June 5-9 Kra, Irwin ; Maskit, Bernard | Princeton University Press 1981 Nouveau

Discrete groups and automorphic functions
proceedings of an instructional conference on...
held at University of Cambridge
Juley 28 - Aug. 15 Harvey, W.J. | Academic Press 1977 Nouveau

Global geometry and mathematical physics
lecture given at the 2nd session of the centro internazionale matematico estivo (C.I.M.E.) held at Montecatini Terme ,Italy, July 4-12, 1988 Francaviglia, M. ; Gherardelli, F. | Springer-Verlag 1990 Nouveau

Deformations of mathematical structures
complex analysis with physical applications Selected papers from the seminar on deformations, Lodz-Lublin, 1985/ 87 Lawrynowicz, Julian | Kluwer Academic Publishers 1989 Nouveau

Séminaire de théorie spectrale et géométrie. Vol. 10 :
année 1991-1992 | Université de Grenoble I;Université de Savoie 1992 Nouveau

A crash course on kleinian groups
lectures given at a special session at the january 1974 meeting of the AMS Bers, Lipman ; Kra, Irwin | Springer-Verlag 1974 Nouveau

Proceedings of the romanian-finnish seminar on Teichmüller spaces and quasiconformal mappings
volume dedicated to the memory of E. Lindelöf and S. Stoïlow Cazacu, Cabiria Andreian | Academy of the Socialist Republic of Romania 1971 Nouveau

Advances in the theory of Riemann surfaces
proceedings of the 1969 Stony Brook conference Ahlfors, Lars Valerian ; Bers, Lipman ; Farkas, Hershel M. | Princeton University Press;University Of Tokyo Press 1971 Nouveau

Topology and Teichmüller spaces
37th Taniguchi symposium on ...
July 24-28 Kojima, Sadayoshi ; Matsumoto, Yukio ; Saito, Kyoji ; Seppälä, Mika | World Scientific 1996 Nouveau

In the tradition of Ahlfors and Bers :
proceedings of the first Ahlfors-Bers colloquium#Nov. 6-8 Kra, Irwin ; Maskit, Bernard | American Mathematical Society 2000 Nouveau

Value distribution theory and complex dynamics :
proceedings of the special session on ... held at the first joint international meeting of the AMS and Hong Kong Mathematical Society#Dec. 13-16 Cherry, William ; Yang, Chung-Chung | American Mathematical Society 2002 Nouveau

In the tradition of Ahlfors and Bers III :
the Ahlfors-Bers colloquium held at University of Connecticut#Oct. 18-21 Abikoff, William ; Haas, Andrew | American Mathematical Society 2004 Nouveau

Séminaire Bourbaki. Vol. 2003/2004 :
exposés 924-937 | Société Mathématique de France 1998 Nouveau

Séminaire Bourbaki. Vol. 1987/88 :
exposés 686-699 | Société Mathématique de France 1988 Nouveau

In the tradition of Ahlfors-Bers, IV :
Ahlfors-Bers colloquium#May 19-22 Canary, Dick ; Gilman, Jane ; Heinonen, Juha ; Masur, Howard | Amercian Mathematical Society 2007 Nouveau