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Contenido archivado el 2024-05-29

STRUCTURES OF SPACES OF COMPLEX HYPERBOLIC DISCRETE GROUPS

Objetivo

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.

Ámbito científico (EuroSciVoc)

Palabras clave

Tema(s)

Convocatoria de propuestas

FP6-2002-MOBILITY-5
Consulte otros proyectos de esta convocatoria

Régimen de financiación

EIF - Marie Curie actions-Intra-European Fellowships

Coordinador

UNIVERSITY OF DURHAM
Aportación de la UE
Sin datos
Dirección
University Office, Old Elvet
DURHAM
Reino Unido
Coste total
Sin datos