Title of the mini-course: Derived functors of iterated loop functors and of destabilization for (unstable) modules over the Steenrod algebra by Geoffrey Powell (Université d’Angers).

Abstract:

Iterated loop functors, defined on unstable modules over the Steenrod algebra, provide algebraic counterparts for the topological iterated loop functors; similarly one considers the destabilization of modules over the Steenrod algebra as an algebraic counterpart of the passage from stable to unstable homotopy theory. Their derived functors arise naturally in Adams spectral sequence considerations.

The construction of a chain complex to calculate the derived functors will be explained, stressing the quadratic nature of the construction and its relationship with invariant theory; the necessary background on (unstable) modules over the Steenrod algebra will be introduced.

Tentative dates

Friday, August 16, 2013

2:00 pm – 3:30 pm

Monday, August 19, 2013

2:00 pm – 3:30 pm

Wednesday, August 21, 2013

2:00 pm – 3:30 pm

Monday, August 26, 2013

2:00 pm – 3:30 pm