Obiettivo The study of discrete subgroups of complex hyperbolic isometries has been a growing research area for more than a decade although its origins can be found in the works of mathematicians of the 19th century. Many leading mathematicians were led to work in this area due to its fascinating and challenging research problems. This project is a part of a wider research programme whose goal is to understand the space of discrete representations of surface groups into the group of complex hyperbolic isometries. This goal is ambitious and will probably be achieved over a longer time scale than this project's duration. Therefore the objective of this programme is to make significant contributions to that wider plan and to answer natural questions arising, such as how can discrete representations be characterised or if the collection of discrete representations has an analytic structure.At present there exist only a few techniques for constructing spaces of discrete groups of complex hyperbolic isometries and most of them just produce a method of constructing a fundamental domain. The missing ingredient for a further comprehensive treatment is the use of analytic tools, which will fill the gap to classify these representations, which are discrete and produce results analogous to those in the real hyperbolic case, or, determine where such techniques break down. John Parker, the scientist in charge, is an expert on discrete groups of complex hyperbolic isometries and loannis Platis, the participant researcher, is an expert on analytic techniques for describing spaces of discrete groups of real hyperbolic isometries. The potential of this project rests on their synergy in these techniques. This project, extending Platis's previous expertise will give him a broader research perspective. Direct contact with people working in related fields will provide him with knowledge and skills, which he can take back to Greece to strengthen the area there. Campo scientifico humanitieshistory and archaeologyhistorynatural sciencesmathematicspure mathematicsgeometrynatural sciencesmathematicspure mathematicsalgebraalgebraic geometry Parole chiave DISCRETE HYPERBOLIC ISOMETRIES complex discrete hyperbolic isometries Programma(i) 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 Argomento(i) MOBILITY-2.1 - Marie Curie Intra-European Fellowships (EIF) Invito a presentare proposte FP6-2002-MOBILITY-5 Vedi altri progetti per questo bando Meccanismo di finanziamento EIF - Marie Curie actions-Intra-European Fellowships Coordinatore UNIVERSITY OF DURHAM Contributo UE Nessun dato Indirizzo University Office, Old Elvet DURHAM Regno Unito Mostra sulla mappa Costo totale Nessun dato