GEOSUMSETS

Some geometric aspects of sum sets

Coordinatore	UNIVERSITAT POLITECNICA DE CATALUNYA    more  Organization address address: Jordi Girona 31 city: BARCELONA postcode: 8034 contact info Titolo: Prof. Nome: Valentí Cognome: Guasch Brull Email: send email Telefono: +34 934017126 Fax: +34 4017130
Nazionalità Coordinatore	Spain [ES]
Totale costo	211˙133 €
EC contributo	211˙133 €
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-IEF-2008
Funding Scheme	MC-IEF
Anno di inizio	2009
Periodo (anno-mese-giorno)	2009-09-01   -   2012-05-31

 Partecipanti

#	participant	country	role	EC contrib. [€]
1	UNIVERSITAT POLITECNICA DE CATALUNYA  Organization address address: Jordi Girona 31 city: BARCELONA postcode: 8034 contact info Titolo: Prof. Nome: Valentí Cognome: Guasch Brull Email: send email Telefono: +34 934017126 Fax: +34 4017130	ES (BARCELONA)	coordinator	211˙133.10

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 Obiettivo del progetto (Objective)

'Following the work of Freiman, Ruzsa, Green, and Fields medal winner Bourgain, Gowers, Tao, the sumset problem is investigated. We consider two topics where the geometry of the ambient group has an important role. Firstly we plan to improve the known inequalities for the sum of subsets in the Euclidean spaces using more tools from convex geometry. For abelian groups, various structure theorem is available about sets whose sum with itself is relatively small. In the non-abelian case, only conjectures are circulating. Secondly we plan to test these conjectures for word hyperbolic groups. Here we plan to combine technics related to Szemeredi's Regularity Lemma with the geometric properties of the Cayley graph.'