Notes
Key Topics | Notes | Podcast |
---|---|---|
Review of Homological Algebra | ||
Homological Algebra II: Derived Functors | ||
Easy Introduction to Spectral Sequences | ||
Overview of Serre Spectral Sequence | ||
Gysin Sequence and Hochschild-Serre Spectral Sequence | MP3 | |
Steenrod Operations: Axioms and Properties | MP3 | |
Construction of the Squares | MP3 | |
Cohomology of Eilenberg-MacLane Spaces at 2 | MP3 | |
Massey Products and the Steenrod Algebra | MP3 | |
Postnikov Towers | MP3 | |
Nitty-Gritty of Spectral Sequences: Exact Couples | MP3 | |
Bockstein Spectral Sequences | ||
Adams Filtration and the Adams Spectral Sequence | ||
Warm-Up for the Adams Spectral Sequence: ko-Homology | MP3 | |
More Ext & Adams Differentials | MP3 | |
Hopf Invariant 1 Problem | MP3 | |
"User Generated Computations" | ||
Eilenberg-Moore Spectral Sequences | MP3 | |
Computations with the EMSS | MP3 | |
Geometry and the EMSS | MP3 | |
Guest Lecture: Nick Kuhn |