Objective The project falls within the framework of research in geometric group theory, a new research field that combines the techniques and results of classical fields as geometry and group theory. This bridge between these fields gave rise to a quick and fruitful development of group theory, providing techniques to solve classical problems and opening new borders and horizons of research.In particular, many computational problems that seemed quite hard using traditional viewpoints, have been solved via a geometric approach. Moreover, the very active moment of low-dimensional geometry (e.g. solution of Poincare, Geometrisation and Ending laminations conjectures) is now reflecting in geometric group theory, which is now under the spotlight of the whole international mathematical community.During his Marie Curie Intra-European Fellowship, the researcher had the occasion to collaborate with the most important scientist in geometry and group theory, and the skills he acquired in that period permitted him to give important contributes to European research in geometric group theory.The main purpose of the project GEOMGROUPSMFLD is to consolidate and increase the connections and contacts of Francaviglia with his international collaborators, and to create an active research group in geometric group theory in Pisa, Italy - the country of provenience of the researcher - where strong research groups in geometry and group theory are already active. Fields of science natural sciencesmathematicspure mathematicsgeometry Keywords automorphisms geodesic currents hyperbolic groups kleinian groups outer space Programme(s) FP6-MOBILITY - Human resources and Mobility in the specific programme for research, technological development and demonstration "Structuring the European Research Area" under the Sixth Framework Programme 2002-2006 Topic(s) MOBILITY-4.1 - Marie Curie European Reintegration Grants (ERG) Call for proposal FP6-2004-MOBILITY-11 See other projects for this call Funding Scheme EIF - Marie Curie actions-Intra-European Fellowships Coordinator UNIVERSITA' DI PISA Address Lungarno pacinotti 43/44 Pisa Italy See on map Links Website Opens in new window EU contribution € 0,00
