HIGHTEICH
"Higher Teichmüller-Thurston Theory: Representations of Surface Groups in PSL(n,R)."
| Coordinatore | UNIVERSITE DE NICE SOPHIA ANTIPOLIS
Spiacenti, non ci sono informazioni su questo coordinatore. Contattare Fabio per maggiori infomrazioni, grazie. |
| Nazionalità Coordinatore | France [FR] |
| Totale costo | 1˙549˙200 € |
| EC contributo | 1˙549˙200 € |
| Programma | FP7-IDEAS-ERC
Specific programme: "Ideas" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013) |
| Code Call | ERC-2009-AdG |
| Funding Scheme | ERC-AG |
| Anno di inizio | 2010 |
| Periodo (anno-mese-giorno) | 2010-05-01 - 2015-08-31 |
Partecipanti
| # | ||||
|---|---|---|---|---|
| 1 |
UNIVERSITE PARIS-SUD
Organization address
address: RUE GEORGES CLEMENCEAU 15 contact info |
FR (ORSAY) | beneficiary | 1˙438˙680.00 |
| 2 |
UNIVERSITE DE NICE SOPHIA ANTIPOLIS
Organization address
address: AVENUE VALROSE 28 GRAND CHATEAU contact info |
FR (NICE) | hostInstitution | 110˙520.00 |
| 3 |
UNIVERSITE DE NICE SOPHIA ANTIPOLIS
Organization address
address: AVENUE VALROSE 28 GRAND CHATEAU contact info |
FR (NICE) | hostInstitution | 110˙520.00 |
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Obiettivo del progetto (Objective)
'Higher Teichmüller-Thurston theory is the study of a specific component of representations of a surface group of genus g in PSL(n,R). Teichmüller theory depends on a parameter: the genus g of the surface. Higher Teichmüller-Thurston introduces a new paramater n so that classical theory corresponds to n=2. Teichmüller theory is a crossroad between dynamics, complex analysis, spectral theory, geometry and integrable systems. It has started with the study of Kleinian groups and have received strong impulses from many fields throughout last century. To quote but a few: arithmetic (through the study of automorphic forms), geometry (Thurston's theory of hyperbolic structures), dynamics (the ergodic properties of the geodesic flow) and physics (conformal field theory and representations of the Virasoro algebra). The main objective of the proposal is to develop new connections between dynamics, complex analysis, integrable systems beyond classical Teichmüller Theory in the context of higher Teichmüller-Thurston theory. Among the very concrete and challenging goals of this proposal, we have: A Riemann uniformisation theorem for the Hitchin component, the construction and quantisation of a universal algebra for all Hitchin components, computations of volumes and characteristic numbers of (Higher) Riemann moduli spaces, Higher Laminations. The resources will be essentially used for the hiring of post-doc, graduate students, pre-doc students, visiting scientists, international conferences and summer schools. It will take place at University Paris Sud XI.'