Handbook of group actions, Volume II
Résumé
This is the second volume of the Handbook of Group Actions, a multi-volume project which contain survey articles on the topic of group actions and how they appear in several mathematical contexts.The various articles deal with both classical material and modern developments. They are written by specialists in their respective subject areas, and addressed to graduate students who want to learn the theory, as well as to specialists as a reference. The content of Volume II is organized under the following sections: Geometric topology, Representations and deformations, Higgs bundles and representations of complex hyperbolic manifolds, geomtric groups, Geometric invariants and growths of discrete groups, Music and group actions. The authors of the surveys in Volume I are: T. Farrell, A. Gogolev, P. Ontaneda, J. Guaschi, D. J. Pineda, S. K. Roushon, P. W. Nowak, I. Hambleton, R. D. Canary, J. Maubon, K. Ohshika, S. Hirose, N. Monden, A . M. Uludag, J. Wu, I. A. Rapinchuk, D. PH. Bac, N. Q. Thang, M. Fuji and A. Papadopoulos.
Mots clés
- The isomorphism conjecture
- modular group homotopy groups
- Higgs bundles
- Lefschetz fibrations
- surface braid groups
- character varieties
- groups
- group actions
- Kleinian groups
- geometry and dynamics
- commensurable groups
- counterpoint.
- Teichmüller spaces
- Olivier Messiaen
- music theory
- Actions on Banach spaces
- algebraic K-theory
- complex hyperbolic lattices
- algebraic groups
- geometric invariant theory
- automata