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.
Fields of science (EuroSciVoc)
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: https://op.europa.eu/en/web/eu-vocabularies/euroscivoc.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: https://op.europa.eu/en/web/eu-vocabularies/euroscivoc.
- natural sciences mathematics pure mathematics algebra
- natural sciences mathematics pure mathematics mathematical analysis complex analysis
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Programme(s)
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Topic(s)
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Call for proposal
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Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
ERC-2009-AdG
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Funding Scheme
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Host institution
06100 NICE - CEDEX 2
France
The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.