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GREAT

Deformations of fundamental Groups of REpresentATions

Total Cost €

EC-Contrib. €

Partnership

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Outcomes and
results

GREAT project word cloud

Explore the words cloud of the GREAT project. It provides you a very rough idea of what is the project "GREAT" about.

universities classification leaders direction group hodge rho tool singular worldwide pi geometric x curve complement smooth higgs geometry differential area groups deforms topological theory representations question prestigious lines lie guidance deformations she projective semisimple representation varies fundamental algebraic appear transform bundles researcher broaden harmonic brand directions objects expertise abelian

Project "GREAT" data sheet

The following table provides information about the project.

Coordinator	THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF OXFORD Organization address address: WELLINGTON SQUARE UNIVERSITY OFFICES city: OXFORD postcode: OX1 2JD website: www.ox.ac.uk contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.
Coordinator Country	United Kingdom [UK]
Project website	http://www.maths.ox.ac.uk
Total cost	91˙727 €
EC max contribution	91˙727 € (100%)
Programme	1. H2020-EU.1.3.2. (Nurturing excellence by means of cross-border and cross-sector mobility)
Code Call	H2020-MSCA-IF-2014
Funding Scheme	MSCA-IF-EF-ST
Starting year	2016
Duration (year-month-day)	from 2016-01-01 to 2016-12-31

Partnership

Take a look of project's partnership.

#	participants	country	role	EC contrib. [€]
1	THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF OXFORD THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF OXFORD Organization address address: WELLINGTON SQUARE UNIVERSITY OFFICES city: OXFORD postcode: OX1 2JD website: www.ox.ac.uk contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.	UK (OXFORD)	coordinator	91˙727.00

Map

Project objective

The aim of this project is to consider X a smooth projective algebraic curve and a representation ρ of π1(X) into a semisimple Lie group G, and study deformations of ρ when X deforms into a singular curve. This question will open a brand new direction in the theory of representations of fundamental groups and G-Higgs bundles. The main tool to approach the problem will be non- abelian Hodge theory to transform this topological question into the geometric one. Then we use recent new developments in the classification of representations together with new algebraic objects which recently appear in non-abelian Hodge theory to study this question. It will take us to the study the deformations of G-Higgs bundles together with deformations of harmonic bundles over X when X is a curve and varies. This project will allow the researcher to broaden her area of expertise as well as to develop new directions in her research lines. She will complement her knowledge in differential geometry in one of the most prestigious Universities and under the guidance of one of the worldwide leaders in this field.

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The information about "GREAT" are provided by the European Opendata Portal: CORDIS opendata.