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AINFINITY Résumé de rapport

Project ID: 39461
Financé au titre de: FP6-MOBILITY
Pays: France

Final Activity and Management Report Summary - AINFINITY (Moduli spaces and derived categories)

This project is on the interaction of algebra and geometry, more precisely representation theory of quivers and geometric invariant theory. The project studies varieties with group actions coming from two sources. One is automorphism groups of projective representations acting on homomorphism spaces, including varieties of complexes of projective modules. The second is varieties of A-infinity modules. Whenever possible, in view of applications, the researcher has concentrated on actions which are related to subjects outside representation theory of quivers, for example Lie theory and algebraic geometry.

The main achievements are the existence of open orbits in actions of automorphism groups of projective representations with applications to questions about Richardson elements in Lie theory, and the existence of filtrations in derived module categories with tilting objects with dimension two.


Bernhard KELLER
Tél.: +33-1-4427-5460
Fax: +33-1-4427-7818