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  • Tuesday, June 4, 14:40, 7.527

    Julian Külshammer
    Filtered modules and A-infinity structures.

  • Abstract:
    Let M be a module over a finite dimensional algebra A. In representation theory one is often interested in the category of modules filtered by the direct summands of M, e.g. for a quasi-hereditary algebra in the category of modules having a filtration by standard modules. This (first) talk presents the result of Keller and Lefèvre-Hasegawa that the algebra E=Ext*(M,M) can be equipped with an A-infinity structure such that one can reconstruct the category of filtered modules from E.