Realizing modules over the homology of a DGA
 
 
Description:  Let A be a DGA over a field. A graded module X over H_*(A) is said to be realizable if there exists a DG module M over A with H_*(M)\cong X. There are at least two approaches to finding out whether a module is realizable. One uses Postnikov systems (certain diagrams in the derived category of A) and the other attempts to build an A_\infty-module structure on X (over an A_\infty-structure on H_*(A) making it quasi-isomorphic to A). We establish an equivalence between these two obstruction theories to realizing a module. It comes from an equivalence of categories between length n Postnikov systems in the derived category of A based on the bar resolution of X and A_{n+1}-module structures on X. This is joint work with Sharon Hollander.
Date:  2010-03-10
Start Time:   14:30
Speaker:  Gustavo Granja (CAMGSD/IST)
Institution:  -
Place:  Room 5.5
Research Groups: -Algebra and Combinatorics
-Geometry
-Algebra, Logic and Topology
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