18/01/2006, 11:00 — 12:00 — Room P3.10, Mathematics Building
Gustavo Granja, Instituto Superior Técnico
Realizing modules over the homology of a DGA
If is a DGA over a field and is a module over one can ask whether for some DG module . If this is the case one says that is realizable. There are several obstruction theories to answer the question of realizability. I will explain the equivalence between four such obstruction theories, namely, between the obstructions to
(i) Finding an module structure on ,
(ii) Finding a Postnikov system for in the derived category of -modules,
(iii) Realizing the simplicial bar resolution for in the category of -modules,
(iv) Realizing the bar complex for in the category of -modules.
Joint work with Sharon Hollander (Hebrew University).
