GEOSUMSETS
Some geometric aspects of sum sets
| Coordinatore | UNIVERSITAT POLITECNICA DE CATALUNYA
Organization address
address: Jordi Girona 31 contact info |
| 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
| # | ||||
|---|---|---|---|---|
| 1 |
UNIVERSITAT POLITECNICA DE CATALUNYA
Organization address
address: Jordi Girona 31 contact info |
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.'