**Organization**

We will meet on Fridays at 15:15-16:00 (the room is available after 16:00, so we can potentially go a little longer) in EL4. It will also be possible to follow the lectures digitally.

The Zoom link is here.

**Schedule**

Here is a proposed schedule.

Talk number | Date | Title | Speaker | Notes | Video |
---|---|---|---|---|---|

1 | 10/09 | Triangulated categories | Emil Olaisen | Week 1 notes | Video |

2 | 17/09 | The spectrum of a tt-category. (NB: online only) | Johannes Malkenes | Week 2 notes | Video |

3 | 24/09 | Classification of thick subcategories | Elias Angelsen | Week 3 notes | Video |

4 | 01/10 | Calculating the spectrum | Tallak Manum | Week 4 notes | Video |

5 | 08/10 | The Hopkins–Neeman theorem | Thomas Wilskow Thorbjornsen | Week 5 notes (Drew) Week 5 notes (Thomas) | Video |

6 | 15/10 | The comparison map | Sebastian Martensen | Week 6 | Video |

7 | 22/10 | The spectrum of the stable homotopy category | William Hornslien | Week 7 | Video |

8 | 29/10 | Introduction to equivariant homotopy theory | Torgeir Aambø | Week 8 notes | Part 1 Part 2 |

9 | 05/11 | The spectrum of the equivariant stable homotopy category | Jacob Grevstad | Week 9 notes | Video |

10 | 12/11 | A point-less approach to tt-geometry | Louis Martini | Week 10 notes | Video |

11 | 19/11 | Future directions | Drew Heard | Week 11 notes | Video |

**Week 3**: Show that if X is dualizable with dual DX, then X is a retract of X \otimes DX \otimes X