LIMITGROUPS

Limit Groups over Partially Commutative Groups

Coordinatore	THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF OXFORD    more  Organization address address: University Offices, Wellington Square city: OXFORD postcode: OX1 2JD contact info Titolo: Mr. Nome: Gill Cognome: Wells Email: send email Telefono: +44 1865 289800 Fax: +44 1865 289801
Nazionalità Coordinatore	United Kingdom [UK]
Totale costo	200˙371 €
EC contributo	200˙371 €
Programma	FP7-PEOPLE Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013)
Code Call	FP7-PEOPLE-2011-IIF
Funding Scheme	MC-IIF
Anno di inizio	2013
Periodo (anno-mese-giorno)	2013-02-01   -   2015-01-31

 Partecipanti

#	participant	country	role	EC contrib. [€]
1	THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF OXFORD  Organization address address: University Offices, Wellington Square city: OXFORD postcode: OX1 2JD contact info Titolo: Mr. Nome: Gill Cognome: Wells Email: send email Telefono: +44 1865 289800 Fax: +44 1865 289801	UK (OXFORD)	coordinator	200˙371.80

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 Obiettivo del progetto (Objective)

'Klein proposed Group Theory as a means of formulating and understanding geometrical constructions. Geometric Group Theory embraces this approach and also reverses it by using geometrical ideas to give new insights into central problems in Group Theory. In the last decades, it has become a nexus between several branches of mathematics such as Geometry, Model Theory, Dynamical Systems and Algebraic Geometry over Groups.

One of the most representative exponents of this interdisciplinary connection is the theory of limit groups. This theory played a crucial role in the recent solution of the famous Tarski problems and revealed a beautiful and deep relation with the theories of JSJ decompositions and very small actions on real trees.

As the geometry of free groups is associated to trees, the geometry of partially commutative groups is associated to higher-dimensional analogues of trees. Partially commutative groups are not simply generalisations of free groups, they appear naturally in many different branches of mathematics as well as in computer science, robotics and theoretical physics. This project aims at developing a theory of limit groups over partially commutative groups from algebraic, geometric, algorithmic and model theoretic viewpoints. It intends to explore and strengthen the interconnection between the aforementioned branches of mathematics and to open up directions for further research in each of them.'