| |
|
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: |
|
| Start Time: |
14:30 |
|
Speaker: |
Gustavo Granja (CAMGSD/IST)
|
|
Institution: |
-
|
|
Place: |
Room 5.5
|
| Research Groups: |
-Algebra and Combinatorics
-Geometry
-Algebra, Logic and Topology
|
|
See more:
|
<Main>
|
|
