Volume entropy rigidity

This web page contains material for the workshop Volume entropy rigidity.

Worksop material

A problem list from Friday afternoon. Notes by Jean-Claude Picaud

A report on the discusson on simplicial volume, by Roman Sauer

Lecture Notes

Growth of lattices in negatively curved manifolds by Sambusetti.

Papers

The organizers have prepared the following list of useful papers:

Besson, G.; Courtois, G.; Gallot, S. Entropies et rigidit�s des espaces localement sym�triques de courbure strictement n�gative. (French) [Entropy and rigidity of locally symmetric spaces with strictly negative curvature] Geom. Funct. Anal. 5 (1995), no. 5, 731--799. PDF file.

Bourdon, Marc; Pajot, Herv� Rigidity of quasi-isometries for some hyperbolic buildings. Comment. Math. Helv. 75 (2000), no. 4, 701--736. PDF file

Bucher-Karlsson, M.; Gelander, T. The generalized Chern conjecture for manifolds that are locally a product of surfaces, ArXiv preprint

Connell, Christopher; Farb, Benson The degree theorem in higher rank. J. Differential Geom. 65 (2003), no. 1, 19--59. PDF file

Francoise Dal'Bo (IRMAR), Marc Peign� (LMPT), Jean-Claude Picaud (LMPT), Andrea Sambusetti On the growth of nonuniform lattices in pinched negatively curved manifolds, ArXiv reprint

Kapovich, Ilya; Nagnibeda, Tatiana The Patterson-Sullivan embedding and minimal volume entropy for outer space. Geom. Funct. Anal. 17 (2007), no. 4, 1201--1236. PDF file

Leuzinger, Enrico Entropy of the geodesic flow for metric spaces and Bruhat-Tits buildings. Adv. Geom. 6 (2006), no. 3, 475--491. PDF file

Storm, P. A. The minimal entropy conjecture for nonuniform rank one lattices. Geom. Funct. Anal. 16 (2006), no. 4, 959--980. PDF file

C. Vernicos Sur l'entropie volumique des geometries de Hilbert, S�m Th. Spe. et Geo. de Grenoble (2008). PDF file

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A list of registered participants is available.




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