Organiser: Nora Ganter

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R.E. Mosher and M.C. Tangora: Cohomology Operations and Applications in Homotopy Theory. Harper & Row, Publishers, New York-London 1968 x+214 pp.

J.F. Adams and M.F. Atiyah: K-theory and the Hopf invariant. Quart. J. Math. Oxford Ser. (2) 17 (1966), pp 31- 38.

Talk | Topic | Reading |

1 | Introduction to Cohomology Operations | Mosher Tangora pp.1-7 |

2 | Construction of the Steenrod Squares | Mosher and Tangora pp.12-18 |

3 | Properties of the Squares | Mosher and Tangora pp.22-29 |

4 | The Hopf Invariant | Mosher and Tangora pp.33-37 |

5 | K-theory, Adams Operators and the Hopf Invariant Revisited | Adams and Atiyah |

6 | Vector Fields on Spheres | Mosher and Tangora pp.39-43 |

7 | The Steenrod Algebra | Mosher and Tangora pp.45-56 |

8 | Exact Couples and Spectral Sequences | Mosher and Tangora pp. 59-70 |

9 | The Spectral Sequence of a Fibre Space | Mosher Tangora pp.73-80 |

10 | Cohomology of the Eilenberg MacLane Spaces | Mosher and Tangora pp.83-91 |