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.