Objective RESEARCH FIELD: Geometry and Topology od 3-manifolds (from now on3-mfds).OBJECTIVES: To contribute to the study and classifications of 3-mfds. More precisely: To study geoemtric properties of 3-mfds. To develop the technique of Idela Triangulations and hyp erbolicity equations. To develop efficient algorithms to recognize 3-mfds. To study Representations of the fundamental group of 3-mfds into the isometries of the hyperbolic space.RELEVANCE: Low-dimenaional topology is one of the hottest field in contempora ry Mathematics. Recent results, like the solution of the Poincare Conjecture (one of the one milion dollar prize problems), open the way to classifications of 3-mfds and put this field in a leading position in the scenario of international research. INTERD ISCIPLINARITY: This project has many connections with Algebraic Geometry and Analysis. Connections with gravitational problems strongly link the project-investigations to Physics. MOBILITY OBJECTIVES: To increase the scientific independence of the applican t, to put it in contact with leading research groups in Europe, to consolidate and enforce his role in the enviroment of International Research. To facilitate transfer of knowledge between European scientists. To create new links between European Research Centres. Fields of science natural sciencesmathematicspure mathematicstopologyalgebraic topologynatural sciencesmathematicspure mathematicsgeometrynatural sciencesmathematicspure mathematicsdiscrete mathematicscombinatoricsnatural sciencesmathematicspure mathematicsalgebraalgebraic geometry 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-2.1 - Marie Curie Intra-European Fellowships (EIF) Call for proposal FP6-2002-MOBILITY-5 See other projects for this call Funding Scheme EIF - Marie Curie actions-Intra-European Fellowships Coordinator UNIVERSITAT AUTONOMA DE BARCELONA EU contribution No data Address Campus Universitat Autonoma de Barcelona BELLATERRA (CERDANYOLA DEL VALLÈS) Spain See on map Links Website Opens in new window Total cost No data