There will be three lecture courses - see below. In addition we will have time for exercises, question and answer sessions, discussions and some short bootcamp-talks.

The first bootcamp talk on Motives will be given by Maria Yakerson

Extra tutorial sessions will be decided upon request during the school.

Monday | Tuesday | Wednesday | Thursday | Friday | |
---|---|---|---|---|---|

9:00 - 10:30 | Østvær | Østvær | Østvær | Rydh | |

Coffee | Coffee | Coffee | Coffee | ||

11:00 - 12:30 | Hoskins | Hoskins | Hoskins | Østvær | |

Registration | Lunch | Lunch | Lunch | Lunch | |

14:00 - 15:30 | Yakerson | Q&A / Exercises | Q&A / Exercises | Q&A / Exercises | |

Coffee | Coffee | Coffee | Coffee | ||

16:00 - 17:30 | Rydh | Rydh | Rydh | Rydh |

The nicest and easiest stacks are quotient stacks. The local structure theorem of stacks [AHR1, AHR2, AHHR3] says that every stack is étale-locally a quotient stack around a point with linearly reductive stabilizer. I will discuss the proof and some of the techniques used (deformation theory, coherent completion, Tannaka duality, Artin algebraization). Finally, I will present some applications to equivariant geometry, moduli and derived categories.

Preliminary plan of the lectures:

- Lecture 1: Quotient stacks and good moduli spaces
- Lecture 2: Local structure of stacks and deformation theory
- Lecture 3: Coherent completion and Tannaka duality
- Lecture 4: Artin approximation and equivariant Artin algebraization
- Lecture 5: Applications