Introduction to Homological Algebra
Topics
| Rings and modules. The Hom functor. | 10 July Speaker: Bo |
| Tensor product, adjoint isomorphism and change of rings. | 17 July Speaker: Lukas |
| Exact sequences. | 24 July Speaker: Shintaro |
| Projective and injective modules. | 31 July Speaker: Mostafa |
| Complexes. | 7 Aug Speaker: Louis |
| Homotopy of chain complexes. Resolutions. | 14 Aug Speaker: Peter |
| Double complexes. | 21 Aug Speaker: Bo |
| Ext and Tor. | 28 Aug Speaker: Bo |
| The Kunneth formula. The universal coefficient theorem. | 4 Sept Speaker: Lukas |
| Categories and functors. | 11 Sept Speaker: Shintaro |
| Abelian categories. | 18 Sept Speaker: Louis |
| Derived categories. | 25 Sept Speaker: Bartek |
| Higher categories and weak equivalences. | 2 Oct Speaker: Bartek |
| Delta and derived functors. | 16 Oct Speaker: Bartek |
| Group cohomology. | 23 Oct Speaker: Jeroen |
| Bar resolution. | 30 Oct Speaker: Daniel |
| Spectral sequences. | 6 Nov Speaker: Pedram |
| Techniques of computation. | 13 Nov Speaker: Louis |
| Grothendieck spectral sequence of composite functors. | 20 Nov Speaker: Peter |
| Gysin sequence. | 27 Nov Speaker: Shintaro |