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Adjunct Professor SB MATHGEOM GR-TR

Marc Troyanov Troyanov Group web site: http://sma.epfl.ch/~troyanov/ office(s): MAB3524 phone(s): [+41 21 69] 35421,30380 private phone: 021 69 35421 fax: 021 69 30385 MAIN PUBLICATIONS R. Djelid and M. Troyanov. Déformations conformes des variétés de Finsler-Ehresmann. PhD thesis, Lausanne, 2011. [ DOI | Details | Full Text | Link ] V. Gol’Dshtein and M. Troyanov. A Conformal de Rham Complex. Journal of Geometric Analysis, 20(3):651-669, 2010. [ DOI | Details ] M. Troyanov. On the Hodge decomposition in Rn. Moscow Mathematical Journal, 9(4):899-926, 2009. [ DOI | Details | Full Text | Link ] S. Ducret and M. Troyanov. Lq,p-cohomology of Riemannian manifolds and simplicial complexes of bounded geometry. PhD thesis, Lausanne, 2009. [ DOI | Details | Full Text | Link ] M. Troyanov. Les surfaces à courbure intégrale bornée au sens d'Alexandrov. Arxiv, arXiv:0906.3407v1 [math.DG], 2009. Cet article a été présenté à la journée annuelle de la Société Mathématique de France, le 12 juin 2009 à Montpellier. [ DOI | Details | Full Text | Link ] V. Goldshtein and M. Troyanov. Distortion of Mappings and Lq,p-Cohomology. Mathematische Zeitschrift, 2009. [ DOI | Details | Link ] A. Papadopoulos and M. Troyanov. Weak Finsler structures and the Funk weak metric. Mathematical Proceedings of the Cambridge Philosophical Society, 2009. [ DOI | Details | Link ] A. Papadopoulos and M. Troyanov. Harmonic symmetrization of convex sets and of Finsler structures, with applications to Hilbert geometry. Expositiones Mathematica, 27(2):109-124, 2009. [ DOI | Details ] V. Matveev, H.-B. Rademacher, M. Troyanov, and A. Zeghib. Finsler Conformal Lichnerowicz-Obata conjecture. Annales de l'institut Fourier, 59(3):937-949, 2009. [ DOI | Details | Link ] M. Troyanov, V. Goldshtein, and V. Maz'ya. lq,p-cohomology of Riemannian Manifolds with Negative Curvature. In Sobolev Spaces in Mathematics, volume II of International Mathematical Series, pages 199-208. Springer, New York, 2009. [ Details | Link ] M. Troyanov. Cour de géométrie. Enseignement des Mathématiques. Presses Polytechniques et Universitaires Romandes (PPUR), Lausanne, 2009. [ Details | Link ] V. Goldshtein and M. Troyanov. On the naturality of the exterior differential. C. R. Math. Rep. Acad. Sci. Canada, 30(1):1-10, 2008. [ DOI | Details | Full Text | Link ] M. Troyanov. Mesures et Intégration. 2008. [ Details | Full Text ] S. Ducret and M. Troyanov. Steiner's Invariants and Minimal Connections. Portugaliae Mathematica, 65(2):237-242, 2008. [ DOI | Details | Full Text | Link ] M. Troyanov. On the moduli space of singular Euclidean surfaces. In Handbook of Teichmüller theory., volume Volume 1, pages 507-540. Eur. Math. Soc., Zürich, Zürich, 2007. MSC classes: 30F60 (30F45, 32G15). [ Details | Full Text | Link ] A. Papadopoulos and M. Troyanov. Weak metrics on Euclidean domains. JP Journal of Geometry and Topology, 7(1):23 - 44, 2007. [ DOI | Details | Full Text | Link ] M. Troyanov. Piecewise flat Metrics on Surfaces and the Moduli Space. In Oberwolfach Reports., volume 3, page 1602, 2006. [ Details | Full Text | Link ] V. Gol'dshtein and M. Troyanov. Sobolev inequalities for differential forms and Lq,p-cohomology. J. Geom. Anal., 16(4):597-631, 2006. [ DOI | Details | Full Text | Link ] S. Timochine and M. Troyanov. Regularity in metric spaces. PhD thesis, Lausanne, 2006. [ DOI | Details | Full Text | Link ]

Teaching Mathematics Advanced course in geometry and ergodic theory I [en] Advanced course in geometry and ergodic theory II [en] Geometry I [fr] (SMA SCGC) Geometry II [fr] (SMA) Tensors and differential forms [fr] (SMA) Topics in geometric analysis I [en] Topics in geometric analysis II [en] Phd programs Mathematics (edoc) Phd Students Genton Luc Sinaei Zahra Past Phd students: Djelid Ratiba Ducret Stephen Gafaiti Khaled Mermoud Olivier Timochine Serguei