"Higher Teichmüller-Thurston Theory: Representations of Surface Groups in PSL(n,R)."


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 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


# participant  country  role  EC contrib. [€] 

 Organization address address: RUE GEORGES CLEMENCEAU 15
city: ORSAY
postcode: 91405

contact info
Titolo: Mr.
Nome: Nicolas
Cognome: Lecompte
Email: send email
Telefono: +33 1 69 15 55 89
Fax: +331 6915 5599

FR (ORSAY) beneficiary 1˙438˙680.00

 Organization address address: AVENUE VALROSE 28 GRAND CHATEAU
city: NICE
postcode: 6100

contact info
Titolo: Mrs.
Nome: Isabelle
Cognome: De Angelis
Email: send email
Telefono: 33492076229

FR (NICE) hostInstitution 110˙520.00

 Organization address address: AVENUE VALROSE 28 GRAND CHATEAU
city: NICE
postcode: 6100

contact info
Titolo: Prof.
Nome: François Pierre Calixte
Cognome: Labourie
Email: send email
Telefono: +33 4 92 07 62 04
Fax: +33 4 93 51 79 74

FR (NICE) hostInstitution 110˙520.00


 Word cloud

Esplora la "nuvola delle parole (Word Cloud) per avere un'idea di massima del progetto.

dynamics    uuml    geometry    representations    riemann    algebra    theory    doc       thurston    genus    surface    ller    students    teichm    hitchin    integrable   

 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.'

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