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Surveys
& Courses |
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"Les espaces fibrés de Seifert, et leur groupe fondamental"
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(transl
: Seifert fibered spaces & their fundamental group) |
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A
document (in french) which introduces Seifert fibered spaces and then
focus on properties of their fundamental group. |
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"Convergence de 3-variétés hyperboliques" |
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(transl
: Convergence of hyperbolic 3-manifolds) |
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A
document (in french) which introduces the so-called Gromov-Hausdorff
Topology or Geometric Topology on hyperbolic 3-manifolds with finite
volume. We focus on Thurston's hyperbolic surgery which gives examples
of converging sequences of hyperbolic 3-manifolds. |
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"Problème de conjugaison dans le groupe d'une 3-variété
orientée " |
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(transl
: Conjugacy problem in groups of oriented 3-manifolds) |
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This
(french) document is made of transparencies used during a seminary.
It consists in a sketch of a proof on decidability of conjugacy problem
in groups of oriented geometrizable 3-manifolds. |
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Notes sur la géométrie hyperbolique" |
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(transl : Notes on hyperbolic geometry) |
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A
complete course on hyperbolic geometry in the hyperbolic plane. This
document (in french) has constituted a support of a graduate course
on the subject (1998). They fall into 4 parts : |
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1-
Les transformations de Möbius (transl. : Möbius
transformations) |
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2-
Le plan hyperbolique (transl. : The hyperbolic plane) |
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3-
Un peu de géométrie hyperbolique (transl. : Hyperbolic
geometry in a nutschell) |
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4-
Classification des isométries (transl. : Classification
of isometries) |
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"Groupes, Géométrie et Topologie" |
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(transl
: Groups, Geometry & Topology) |
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A
short introductive presentation of the research area that is interconnections
between groups and low-dimensional geometry & hyperbolic geometry. |
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Cryptography |
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A vulgarisation of the History of cryptography (in french). |
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-Graduation
thesis : "Les problèmes de Dehn" |
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(transl : Dehn's problems) |
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0
- Sommaire & Introduction (transl : Summary & introduction) |
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1
- notions préliminaires (transl : Preliminary notions) |
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2
- Théorèmes généraux d'insolubilité (transl : General unsolvability results) |
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3
- Problèmes de Dehn pour des groupes élémentaires (transl : Dehn problems in 'elementary' groups) |
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4 - Approche géométrique
des problèmes de Dehn (transl : A geometrical
approach to Dehn's problems) |
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5
- Indécidabilité en Topologie (transl : Unsolvability
results in Topology) |
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6
- bibliographie (transl : References) |
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