D07.SYMGPS.OX

Vertices of simple modules for the symmetric and related finite 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: Ms. Nome: Linda Cognome: Polik Email: send email Telefono: +44 1865 289811 Fax: +44 1865 289801
Nazionalità Coordinatore	United Kingdom [UK]
Totale costo	160˙658 €
EC contributo	160˙658 €
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-2007-2-1-IEF
Funding Scheme	MC-IEF
Anno di inizio	2009
Periodo (anno-mese-giorno)	2009-07-31   -   2011-07-30

 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: Ms. Nome: Linda Cognome: Polik Email: send email Telefono: +44 1865 289811 Fax: +44 1865 289801	UK (OXFORD)	coordinator	0.00

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 Obiettivo del progetto (Objective)

'This project aims to study representations of symmetric groups, alternating groups and other related finite groups, over non-zero characteristic. These representations are far from being semisimple, and many basic problems, like finding the irreducible representations - that is simple modules - are not solved in general. Therefore one needs to find and understand invariants of modules. We will focus on the distiguished classes of Specht modules and simple modules and will investigate vertices, sources, and complexity. These encapsulate local and group theoretic features on the one hand, and large-scale homological behaviour on the other hand. Spectacular new developments from Lie theory have opened up completely new perspectives, and we will combine the classical approach of G.D. James, the new methods originating in Kac-Moody algebras and quantum groups, and work by Kleshchev , Lascoux/Leclerc/Thibon, Ariki, Grojnowski, and Chuang/Rouquier.'