Le but de ce survol est de présenter les modules combinatoires récemment utilisés pour étudier les propriétés quasi-conformes des bords des groupes hyperboliques. Dans un premier temps, on rappellera quelques résultats et questions de rigidité bien connus qui ont motivés l’introduction de ces outils. Puis on définira les modules combinatoires et la propriété de Loewner combinatoire qui offrent une nouvelle approche pour résoudre des problèmes ouverts depuis longtemps. Enfin, on décrira des applications concrètes de ces outils à travers quelques résultats récents et questions ouvertes.
@article{TSG_2014-2015__32__73_0, author = {Antoine Clais}, title = {Propri\'et\'es combinatoires du bord d{\textquoteright}un groupe hyperbolique}, journal = {S\'eminaire de th\'eorie spectrale et g\'eom\'etrie}, pages = {73--96}, publisher = {Institut Fourier}, address = {Grenoble}, volume = {32}, year = {2014-2015}, doi = {10.5802/tsg.304}, language = {fr}, url = {https://proceedings.centre-mersenne.org/articles/10.5802/tsg.304/} }
TY - JOUR AU - Antoine Clais TI - Propriétés combinatoires du bord d’un groupe hyperbolique JO - Séminaire de théorie spectrale et géométrie PY - 2014-2015 SP - 73 EP - 96 VL - 32 PB - Institut Fourier PP - Grenoble UR - https://proceedings.centre-mersenne.org/articles/10.5802/tsg.304/ DO - 10.5802/tsg.304 LA - fr ID - TSG_2014-2015__32__73_0 ER -
%0 Journal Article %A Antoine Clais %T Propriétés combinatoires du bord d’un groupe hyperbolique %J Séminaire de théorie spectrale et géométrie %D 2014-2015 %P 73-96 %V 32 %I Institut Fourier %C Grenoble %U https://proceedings.centre-mersenne.org/articles/10.5802/tsg.304/ %R 10.5802/tsg.304 %G fr %F TSG_2014-2015__32__73_0
Antoine Clais. Propriétés combinatoires du bord d’un groupe hyperbolique. Séminaire de théorie spectrale et géométrie, Volume 32 (2014-2015), pp. 73-96. doi : 10.5802/tsg.304. https://proceedings.centre-mersenne.org/articles/10.5802/tsg.304/
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