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Contenuto archiviato il 2024-06-18

Some geometric aspects of sum sets

Obiettivo

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.

Campo scientifico

CORDIS classifica i progetti con EuroSciVoc, una tassonomia multilingue dei campi scientifici, attraverso un processo semi-automatico basato su tecniche NLP.

Invito a presentare proposte

FP7-PEOPLE-IEF-2008
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Coordinatore

UNIVERSITAT POLITECNICA DE CATALUNYA
Contributo UE
€ 211 133,09
Indirizzo
CALLE JORDI GIRONA 31
08034 Barcelona
Spagna

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Regione
Este Cataluña Barcelona
Tipo di attività
Higher or Secondary Education Establishments
Contatto amministrativo
Valentí Guasch Brull (Prof.)
Collegamenti
Costo totale
Nessun dato